7. A circular loop of wire of radius 0.399 m and a resistance of 0.500 Ohms is placed in a spatiallyuniform magnetic field indicated by the array of x's. The magnitude of this primary (orcausative) magnetic field varies according to B(t) = (0.050 T/s²)t².a. Qualitatively, does Faraday's Law of magnetic induction depend on the direction of theprimary magnetic field or the direction of the change in the direction of the primarymagnetic field?Starting at t = 0 and continuing into the future, where does the change in the primarymagnetic field point?Apply Faraday's law and determine the direction of the necessary induced magnetic field.Use the right hand rule to then infer the direction of the induced current in the loop.Substitute the above primary magnetic field into Faraday's law and derive an equation forthe induced voltage (EMF, E).Calculate the time, t when the magnitude of the primary magnetic field is 32.0 mT.For the time found in part (f) use your result from part (e) to calculate the amount ofinduced current flowing in the loop. Don't forget units.b.c.d.e.f.g.XX X XXX X X XXXXXXXXXXXX X XX X XXXXX XX XX X

Given,B→(t) = (0.050 T/s2)t2Radius = r = 0.399 mResistance = R = 0.500 Ωa) As per the Faraday's Law…

7. A circular loop of wire of radius 0.399 m and a resistance of 0.500 Ohms is placed in a spatially uniform magnetic field indicated by the array of x's. The magnitude of this primary (or causative) magnetic field varies according to B(t) = (0.050 T/s²)t². a. Qualitatively, does Faraday's Law of magnetic induction depend on the direction of the primary magnetic field or the direction of the change in the direction of the primary magnetic field? b. Starting at t = 0 and continuing into the future, where does the change in the primary magnetic field point? c. Apply Faraday's law and determine the direction of the necessary induced magnetic field. d. Use the right hand rule to then infer the direction of the induced current in the loop. Substitute the above primary magnetic field into Faraday's law and derive an equation for

7. A circular loop of wire of radius 0.399 m and a resistance of 0.500 Ohms is placed in a spatially uniform magnetic field indicated by the array of x's. The magnitude of this primary (or causative) magnetic field varies according to B(t) = (0.050 T/s²)t². a. Qualitatively, does Faraday's Law of magnetic induction depend on the direction of the primary magnetic field or the direction of the change in the direction of the primary magnetic field? b. Starting at t = 0 and continuing into the future, where does the change in the primary magnetic field point? c. Apply Faraday's law and determine the direction of the necessary induced magnetic field. d. Use the right hand rule to then infer the direction of the induced current in the loop. Substitute the above primary magnetic field into Faraday's law and derive an equation for

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Physics 3.A flat coil of wire consisting of 20 turns, each with an area of 50 cm2, is positioned…

Q: 4. A loop of wire with a radius of 10.0cm carries a current of 5.00A. What is the value of the…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 6. A conducting rod is sliding at v= 3.0 m/s on metal rails separated by L=2.0 m. The magnetic field…

A: given that,velocity of conducting rod,v=3 msL=2 mmagnetic field, B=0.5 mTBoth B and v are…

Q: 1. The current I through a long solenoid with n turns per meter and radius 0.30m is changing with…

A: The number of turns per meter of the solenoid: The radius of the loop: Time: The permeability of the…

Q: In the figure, a conducting rod with length L = 27.0 cm moves in a magnetic field B of magnitude…

Q: 9. A rectangular loop of wire (length L=13.0 cm) is moving as shown in the drawing with a speed of…

A: Given data The length of the wire is given as L = 13 cm. The speed is given as v = 2.10 m/s. The…

Q: 3. A 4.6 g wire is bent into a circular loop with a 10 cm radius. The gravitational force on the…

Q: A 200 turn, 4.0 cm diameter solenoid is placed in a magnetic field of 0.45 T pointing into the page.…

A: a. Lenz’s law requires that the solenoid opposes any quick changes in the external magnetic field by…

Q: 4. A coil with 20 turns of wire is wrapped on a frame with a square cross section 2.50 cm on a side.…

A: The induced emf is equal to the ratio of change in flux with respect to time. ε=Nϕf-ϕit…

Q: (a) What current through the coil results in a magnetic dipole moment of 3.5 A m²? 1= A (b) What is…

A: When a coil carries current it acts like magnetic dipole. When this dipole is placed in uniform…

Q: 2. A 23.0 cm diameter coil consists of 23 turns of cylindrical copper wire 2.60 mm in diameter. A…

Q: 2. A loop is pulled with a force F to the right to maintain a constant speed of 6.0 m/s. The loop…

Q: In the figure below, a uniform magnetic field decreases at a constant rate dB/dt = –K, where K is a…

A: (a) The charge on the capacitor, when it is fully charged. As the magnetic field is directed into…

Q: 3. Two infinite parallel straight wires have electric currents i1 = 80 A, 12 = 60 A in the direction…

A: thank you

Q: 1. A conducting loop of arca A and resistance R lics at right angles to a spatially uniform magnetic…

A: Given, Loop area= A Resistance= R The current in the loop, I=VR It=bt2 VR=bt2V=Rbt2…

Q: 5. A circular loop is constructed from a flexible, conducting wire of resistance R. The wire is…

Q: solid sphere of radius b - p. The permanent magnet allel to its axis. The sphe- e. Calçulate the…

A: Given: Radius is b (b<<a,b<<L). To calculate the maximum vertical distance between…

Q: 1. A magnetic field has a magnitude of 1.20 × 10 3 T, and an electric field has a magnitude of 4.70…

A: Given- A magnetic field has a magnitude B=1.20×10-3 T An electric field has a magnitude E= 4.7×103…

Q: 3. The N and S pole faces of a bent cylinder magnet form are separated from one another by a small…

A: This problem can be solved using the analogy from the formulas of corresponding electric charge…

Q: A uniform B-field (B 10.0 m² section of the yz plane? = 6.2 T) is at a 40° angle to the x axis. What…

Question

7. A circular loop of wire of radius 0.399 m and a resistance of 0.500 Ohms is placed in a spatially
uniform magnetic field indicated by the array of x's. The magnitude of this primary (or
causative) magnetic field varies according to B(t) = (0.050 T/s²)t².
a. Qualitatively, does Faraday's Law of magnetic induction depend on the direction of the
primary magnetic field or the direction of the change in the direction of the primary
magnetic field?
Starting at t = 0 and continuing into the future, where does the change in the primary
magnetic field point?
Apply Faraday's law and determine the direction of the necessary induced magnetic field.
Use the right hand rule to then infer the direction of the induced current in the loop.
Substitute the above primary magnetic field into Faraday's law and derive an equation for
the induced voltage (EMF, E).
Calculate the time, t when the magnitude of the primary magnetic field is 32.0 mT.
For the time found in part (f) use your result from part (e) to calculate the amount of
induced current flowing in the loop. Don't forget units.
b.
c.
d.
e.
f.
g.
X
X X X
X
X X X X
X
X
X
X
X
XX
X
X
X
X X X
X X X
X
X
X
X X
X X
X X

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

5. A rectangular loop of wire (length L-13.0 cm and width W=7.80 cm) is moving as shown in the drawing with a speed of 1.00 m/s. The loop is leaving a region in which a 2.80 T magnetic field exists; the magnetic field outside this region is zero. During a time of 0.13 s, what is the magnitude of the change in the magnetic flux? X 0.0284Wb 109 33.269 80 F2 ост 11 Q F5 F5 XXXX XXXXXXX XXXXXXXXX XXXXXxxxxx XXXXXxxxx X: x x x x x xxxx XXXXXXXXX F6 tv MacBook Air & С F6 A AA F7 DII F8 V DII FB СС F9 A F9 Show my other submissions 9 F10 W . F10 d) F11 P 4 F11 F12
A small circular coil of 20 loops of wire having a radius of 1 cm is at rest in the X-y plane (so the normal to the loop points in the +z-direction). A uniform magnetic field of 0.5 T is turned on in the +x-direction. What is the magnetic flux through the loop? a. 7.85 x 10 Tm² b. 1.57 x 10 4 T m² O c. 3.14 x 10 3 T m2 O d. 0 T m2
c. What is the resistance of the coil given that the diameter of the wire is 2.00 mm? (Recall, resistance of wire is given by R = ρL/A, where ρ is the resistivity of the metal, L is the length of the wire, and A is the cross-sectional area.)
001 In Niels Bohr's 1913 nodel of the hydro- gen atom, an electron circles the proton at a distance of 4.84 x 10 3.32 x 10° m/s. 11 m with a speed of The permeability of free space is 1.25664 x 10° T m/A. Compute the magnetic field strength that this motion produces at the location of the proton. Answer in units of T.
7
9
002 A wire in which there is a current of 3.7 A is to be formed into a circular loop of one turn. If the required value of the magnetic field at the center of the loop is 9.56 T, what is the required radius? The permeability of free space is 1.25664 x 10-6 T-m/A. Answer in units of cm.
005 A uniform electric field of magnitude 5.06 x 10 V/m throughout a cylindrical volume re- sults in a total energy of 2.95 µJ. What magnetic field over this same region stores the same total energy? Answer in units of T.
3. A 21.0 cm diameter coil consists of 34 turns of cylindrical copper wire 2.80 mm in diameter. A uniform magnetic field, perpendicular to the plane of the coil, changes at a rate of 8.50 × 10−³ T/s. Determine the current in the loop in milli-amps (the resistivity for copper is 1.72 × 10-³2.m). mA
6. A loop of a wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.18 m. The normal to the plane of the loop is parallel to a constant magnetic field of magnitude 0.88 T. What is the magnitude of the change in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through quarter of a revolution? Wb B (into paper) 190of19 oof19 oon9 oof 19.0of19 oof19 o 19 0of19 oof19 oo of19 oof oof19 19 0of19 0of19 oof19 oof19 o0
A circular loop of wire has an area of 0.30 m2m2 . It is tilted by 50 degrees with respect to a uniform 0.43 TT magnetic field. What is the magnetic flux through the loop? A) 8.3×10−2 T⋅m2T⋅m2 B) 0.15 T⋅m2T⋅m2 C) 0.33 T⋅m2T⋅m2 D) 0.78 T⋅m2T⋅m2 E) 1.5 T⋅m2T⋅m2