Figure 32-19 a shows a capacitor, with circular plates, that is being charged. Point a (near one of the connecting wires) and point b (inside the capacitor gap) are equidistant from the central axis, as are point c (not so near the wire) and point d (between the plates but outside the gap). In Fig. 32-19 b , one curve gives the variation with distance r of the magnitude of the magnetic field inside and outside the wire. The other curve gives the variation with distance r of the magnitude of the magnetic field inside and outside the gap. The two curves partially overlap. Which of the three points on the curves correspond to which of the four points of Fig. 32-19 a ? Figure 32-19 Question 1.

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 32, Problem 1Q

Figure 32-19a shows a capacitor, with circular plates, that is being charged. Point a (near one of the connecting wires) and point b (inside the capacitor gap) are equidistant from the central axis, as are point c (not so near the wire) and point d (between the plates but outside the gap). In Fig. 32-19b, one curve gives the variation with distance r of the magnitude of the magnetic field inside and outside the wire. The other curve gives the variation with distance r of the magnitude of the magnetic field inside and outside the gap. The two curves partially overlap. Which of the three points on the curves correspond to which of the four points of Fig. 32-19a?

Chapter 32, Problem 1Q, Figure 32-19a shows a capacitor, with circular plates, that is being charged. Point a near one of

Figure 32-19 Question 1.

Expert Solution & Answer

To determine

To find:

The three points on the curve in Fig 32.19 b corresponding to four points of Fig.32-19a.

Answer to Problem 1Q

Solution:

Point 1 on the curve corresponds to a, Pont 2 on the curve corresponds to b, and point 3 on the curve corresponds to c and d.

Explanation of Solution

1) Concept:

We can find the relation between magnetic field and distance from central axis from the formulae for magnetic field inside and outside the circular capacitor. Using this and analyzing the graph and the given figure, we can find the three points on the curve corresponding to four points of Fig.32-19a.

2) Formulae:

i) Inside a circular capacitor, magnetic field is

B=μ0Id2πR2r

ii) Outside a circular capacitor, magnetic field is

B=μ0Id2πr

3) Given:

Figure 32-19a and 32-19b.

Points a and b are equidistant from the central axis. Also points c and d are equidistant from it.

4) Calculations:

The magnetic field at a point inside the capacitor is given by

B=μ0Id2πR2r

It implies that B∝r.

The curve on which point 2 is present satisfies this condition, and there is only one point inside the capacitor b.

Hence, point 2 corresponds to point b.

The magnetic field at a point outside the capacitor is given by

B=μ0Id2πr

It implies that B∝1r.

The points 1 and 3 are on the curves satisfies this relation.

Since point a and point b are equidistant, therefore we can say that point 1 corresponds to point a.

Remaining point 3 corresponds to points c and d.

Conclusion:

Inside a circular capacitor, the magnetic field is proportional to the distance from the center of the circular plate while outside the circular capacitor, it is inversely proportional the distance from the center of the circular plate.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

For each of the actions depicted below, a magnet and/or metal loop moves with velocity v→ (v→ is constant and has the same magnitude in all parts). Determine whether a current is induced in the metal loop. If so, indicate the direction of the current in the loop, either clockwise or counterclockwise when seen from the right of the loop. The axis of the magnet is lined up with the center of the loop. For the action depicted in (Figure 5), indicate the direction of the induced current in the loop (clockwise, counterclockwise or zero, when seen from the right of the loop). I know that the current is clockwise, I just dont understand why. Please fully explain why it's clockwise, Thank you

A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).

What are the expected readings of the ammeter and voltmeter for the circuit in the figure below? (R = 5.60 Ω, ΔV = 6.30 V) ammeter I =

Answer 2

Textbook Question

Chapter 32, Problem 1Q

Figure 32-19a shows a capacitor, with circular plates, that is being charged. Point a (near one of the connecting wires) and point b (inside the capacitor gap) are equidistant from the central axis, as are point c (not so near the wire) and point d (between the plates but outside the gap). In Fig. 32-19b, one curve gives the variation with distance r of the magnitude of the magnetic field inside and outside the wire. The other curve gives the variation with distance r of the magnitude of the magnetic field inside and outside the gap. The two curves partially overlap. Which of the three points on the curves correspond to which of the four points of Fig. 32-19a?

Chapter 32, Problem 1Q, Figure 32-19a shows a capacitor, with circular plates, that is being charged. Point a near one of

Figure 32-19 Question 1.

Expert Solution & Answer

To determine

To find:

The three points on the curve in Fig 32.19 b corresponding to four points of Fig.32-19a.

Answer to Problem 1Q

Solution:

Point 1 on the curve corresponds to a, Pont 2 on the curve corresponds to b, and point 3 on the curve corresponds to c and d.

Explanation of Solution

1) Concept:

We can find the relation between magnetic field and distance from central axis from the formulae for magnetic field inside and outside the circular capacitor. Using this and analyzing the graph and the given figure, we can find the three points on the curve corresponding to four points of Fig.32-19a.

2) Formulae:

i) Inside a circular capacitor, magnetic field is

B=μ0Id2πR2r

ii) Outside a circular capacitor, magnetic field is

B=μ0Id2πr

3) Given:

Figure 32-19a and 32-19b.

Points a and b are equidistant from the central axis. Also points c and d are equidistant from it.

4) Calculations:

The magnetic field at a point inside the capacitor is given by

B=μ0Id2πR2r

It implies that B∝r.

The curve on which point 2 is present satisfies this condition, and there is only one point inside the capacitor b.

Hence, point 2 corresponds to point b.

The magnetic field at a point outside the capacitor is given by

B=μ0Id2πr

It implies that B∝1r.

The points 1 and 3 are on the curves satisfies this relation.

Since point a and point b are equidistant, therefore we can say that point 1 corresponds to point a.

Remaining point 3 corresponds to points c and d.

Conclusion:

Inside a circular capacitor, the magnetic field is proportional to the distance from the center of the circular plate while outside the circular capacitor, it is inversely proportional the distance from the center of the circular plate.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 32, Problem 1Q

Figure 32-19a shows a capacitor, with circular plates, that is being charged. Point a (near one of the connecting wires) and point b (inside the capacitor gap) are equidistant from the central axis, as are point c (not so near the wire) and point d (between the plates but outside the gap). In Fig. 32-19b, one curve gives the variation with distance r of the magnitude of the magnetic field inside and outside the wire. The other curve gives the variation with distance r of the magnitude of the magnetic field inside and outside the gap. The two curves partially overlap. Which of the three points on the curves correspond to which of the four points of Fig. 32-19a?

Chapter 32, Problem 1Q, Figure 32-19a shows a capacitor, with circular plates, that is being charged. Point a near one of

Figure 32-19 Question 1.

Expert Solution & Answer

To determine

To find:

The three points on the curve in Fig 32.19 b corresponding to four points of Fig.32-19a.

Answer to Problem 1Q

Solution:

Point 1 on the curve corresponds to a, Pont 2 on the curve corresponds to b, and point 3 on the curve corresponds to c and d.

Explanation of Solution

1) Concept:

We can find the relation between magnetic field and distance from central axis from the formulae for magnetic field inside and outside the circular capacitor. Using this and analyzing the graph and the given figure, we can find the three points on the curve corresponding to four points of Fig.32-19a.

2) Formulae:

i) Inside a circular capacitor, magnetic field is

B=μ0Id2πR2r

ii) Outside a circular capacitor, magnetic field is

B=μ0Id2πr

3) Given:

Figure 32-19a and 32-19b.

Points a and b are equidistant from the central axis. Also points c and d are equidistant from it.

4) Calculations:

The magnetic field at a point inside the capacitor is given by

B=μ0Id2πR2r

It implies that B∝r.

The curve on which point 2 is present satisfies this condition, and there is only one point inside the capacitor b.

Hence, point 2 corresponds to point b.

The magnetic field at a point outside the capacitor is given by

B=μ0Id2πr

It implies that B∝1r.

The points 1 and 3 are on the curves satisfies this relation.

Since point a and point b are equidistant, therefore we can say that point 1 corresponds to point a.

Remaining point 3 corresponds to points c and d.

Conclusion:

Inside a circular capacitor, the magnetic field is proportional to the distance from the center of the circular plate while outside the circular capacitor, it is inversely proportional the distance from the center of the circular plate.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 32, Problem 1Q

Figure 32-19a shows a capacitor, with circular plates, that is being charged. Point a (near one of the connecting wires) and point b (inside the capacitor gap) are equidistant from the central axis, as are point c (not so near the wire) and point d (between the plates but outside the gap). In Fig. 32-19b, one curve gives the variation with distance r of the magnitude of the magnetic field inside and outside the wire. The other curve gives the variation with distance r of the magnitude of the magnetic field inside and outside the gap. The two curves partially overlap. Which of the three points on the curves correspond to which of the four points of Fig. 32-19a?

Chapter 32, Problem 1Q, Figure 32-19a shows a capacitor, with circular plates, that is being charged. Point a near one of

Figure 32-19 Question 1.

Expert Solution & Answer

To determine

To find:

The three points on the curve in Fig 32.19 b corresponding to four points of Fig.32-19a.

Answer to Problem 1Q

Solution:

Point 1 on the curve corresponds to a, Pont 2 on the curve corresponds to b, and point 3 on the curve corresponds to c and d.

Explanation of Solution

1) Concept:

We can find the relation between magnetic field and distance from central axis from the formulae for magnetic field inside and outside the circular capacitor. Using this and analyzing the graph and the given figure, we can find the three points on the curve corresponding to four points of Fig.32-19a.

2) Formulae:

i) Inside a circular capacitor, magnetic field is

B=μ0Id2πR2r

ii) Outside a circular capacitor, magnetic field is

B=μ0Id2πr

3) Given:

Figure 32-19a and 32-19b.

Points a and b are equidistant from the central axis. Also points c and d are equidistant from it.

4) Calculations:

The magnetic field at a point inside the capacitor is given by

B=μ0Id2πR2r

It implies that B∝r.

The curve on which point 2 is present satisfies this condition, and there is only one point inside the capacitor b.

Hence, point 2 corresponds to point b.

The magnetic field at a point outside the capacitor is given by

B=μ0Id2πr

It implies that B∝1r.

The points 1 and 3 are on the curves satisfies this relation.

Since point a and point b are equidistant, therefore we can say that point 1 corresponds to point a.

Remaining point 3 corresponds to points c and d.

Conclusion:

Inside a circular capacitor, the magnetic field is proportional to the distance from the center of the circular plate while outside the circular capacitor, it is inversely proportional the distance from the center of the circular plate.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

To find:

The three points on the curve in Fig 32.19 b corresponding to four points of Fig.32-19a.

Answer to Problem 1Q

Solution:

Point 1 on the curve corresponds to a, Pont 2 on the curve corresponds to b, and point 3 on the curve corresponds to c and d.

Explanation of Solution

1) Concept:

We can find the relation between magnetic field and distance from central axis from the formulae for magnetic field inside and outside the circular capacitor. Using this and analyzing the graph and the given figure, we can find the three points on the curve corresponding to four points of Fig.32-19a.

2) Formulae:

i) Inside a circular capacitor, magnetic field is

B=μ0Id2πR2r

ii) Outside a circular capacitor, magnetic field is

B=μ0Id2πr

3) Given:

Figure 32-19a and 32-19b.

Points a and b are equidistant from the central axis. Also points c and d are equidistant from it.

4) Calculations:

The magnetic field at a point inside the capacitor is given by

B=μ0Id2πR2r

It implies that B∝r.

The curve on which point 2 is present satisfies this condition, and there is only one point inside the capacitor b.

Hence, point 2 corresponds to point b.

The magnetic field at a point outside the capacitor is given by

B=μ0Id2πr

It implies that B∝1r.

The points 1 and 3 are on the curves satisfies this relation.

Since point a and point b are equidistant, therefore we can say that point 1 corresponds to point a.

Remaining point 3 corresponds to points c and d.

Conclusion:

Inside a circular capacitor, the magnetic field is proportional to the distance from the center of the circular plate while outside the circular capacitor, it is inversely proportional the distance from the center of the circular plate.

Answer 8

Expert Solution & Answer

To determine

To find:

The three points on the curve in Fig 32.19 b corresponding to four points of Fig.32-19a.

Answer to Problem 1Q

Solution:

Point 1 on the curve corresponds to a, Pont 2 on the curve corresponds to b, and point 3 on the curve corresponds to c and d.

Explanation of Solution

1) Concept:

We can find the relation between magnetic field and distance from central axis from the formulae for magnetic field inside and outside the circular capacitor. Using this and analyzing the graph and the given figure, we can find the three points on the curve corresponding to four points of Fig.32-19a.

2) Formulae:

i) Inside a circular capacitor, magnetic field is

B=μ0Id2πR2r

ii) Outside a circular capacitor, magnetic field is

B=μ0Id2πr

3) Given:

Figure 32-19a and 32-19b.

Points a and b are equidistant from the central axis. Also points c and d are equidistant from it.

4) Calculations:

The magnetic field at a point inside the capacitor is given by

B=μ0Id2πR2r

It implies that B∝r.

The curve on which point 2 is present satisfies this condition, and there is only one point inside the capacitor b.

Hence, point 2 corresponds to point b.

The magnetic field at a point outside the capacitor is given by

B=μ0Id2πr

It implies that B∝1r.

The points 1 and 3 are on the curves satisfies this relation.

Since point a and point b are equidistant, therefore we can say that point 1 corresponds to point a.

Remaining point 3 corresponds to points c and d.

Conclusion:

Inside a circular capacitor, the magnetic field is proportional to the distance from the center of the circular plate while outside the circular capacitor, it is inversely proportional the distance from the center of the circular plate.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To find:

The three points on the curve in Fig 32.19 b corresponding to four points of Fig.32-19a.

Answer 12

Answer to Problem 1Q

Solution:

Point 1 on the curve corresponds to a, Pont 2 on the curve corresponds to b, and point 3 on the curve corresponds to c and d.

Answer 13

Explanation of Solution

1) Concept:

We can find the relation between magnetic field and distance from central axis from the formulae for magnetic field inside and outside the circular capacitor. Using this and analyzing the graph and the given figure, we can find the three points on the curve corresponding to four points of Fig.32-19a.

2) Formulae:

i) Inside a circular capacitor, magnetic field is

B=μ0Id2πR2r

ii) Outside a circular capacitor, magnetic field is

B=μ0Id2πr

3) Given:

Figure 32-19a and 32-19b.

Points a and b are equidistant from the central axis. Also points c and d are equidistant from it.

4) Calculations:

The magnetic field at a point inside the capacitor is given by

B=μ0Id2πR2r

It implies that B∝r.

The curve on which point 2 is present satisfies this condition, and there is only one point inside the capacitor b.

Hence, point 2 corresponds to point b.

The magnetic field at a point outside the capacitor is given by

B=μ0Id2πr

It implies that B∝1r.

The points 1 and 3 are on the curves satisfies this relation.

Since point a and point b are equidistant, therefore we can say that point 1 corresponds to point a.

Remaining point 3 corresponds to points c and d.

Conclusion:

Inside a circular capacitor, the magnetic field is proportional to the distance from the center of the circular plate while outside the circular capacitor, it is inversely proportional the distance from the center of the circular plate.

Answer 14

Ch. 32 - Figure 32-19a shows a capacitor, with circular...Ch. 32 - Prob. 2Q Ch. 32 - Prob. 3Q Ch. 32 - Figure 32-22a shows a pair of opposite spin...Ch. 32 - An electron in an external magnetic field Bext has...Ch. 32 - Prob. 6Q Ch. 32 - Figure 32-23 shows a face-on view of one of the...Ch. 32 - Prob. 8Q Ch. 32 - Replace the current loops of Question 8 and Fig....Ch. 32 - Prob. 10Q

Concept explainers

Videos

Answer to Problem 1Q

Explanation of Solution

Want to see more full solutions like this?

Chapter 32 Solutions

Additional Science Textbook Solutions