### Loop Moving into a Constant Magnetic FieldConsider a square loop with a side length of 1 m moving at a rate of 0.1 m/s in the +x direction into a magnetic field 6 m long with constant strength and direction of B = 1 T \( \hat{z} \) (into the page).**a. Magnetic Flux vs. Time Diagram**Sketch a diagram of the magnetic flux vs. time with \( t = 0 \) when the right edge of the square loop just starts to enter the magnetic field.- **Description**: - The magnetic flux (Φ) through the loop will change as the loop moves into the magnetic field. - When \( t = 0 \), the right edge of the loop just starts to enter the magnetic field. - As the loop continues to move into the field, the area inside the loop that is exposed to the magnetic field increases, causing the magnetic flux to increase. - When the entire loop is within the magnetic field, the magnetic flux reaches a maximum value. - Once the loop starts to exit the magnetic field, the magnetic flux begins to decrease. - The graph should show a linear increase in flux as the loop enters the field, a constant maximum flux when the loop is fully in the field, and a linear decrease as the loop exits the field.- **Graph Details**: - **X-axis**: Time (t) in seconds. - **Y-axis**: Magnetic Flux (Φ) in Weber (Wb).**b. Induced Electromotive Force (emf) Diagram**Sketch a diagram of the induced electromotive force (emf).- **Description**: - The induced emf in the loop is related to the rate of change of magnetic flux through Faraday's Law of Induction: \( \mathcal{E} = -\frac{dΦ}{dt} \). - When the loop first enters the magnetic field, the rate of change of flux is positive, inducing a positive emf. - When the loop is fully within the magnetic field, the flux is constant, and thus the induced emf is zero. - As the loop exits the magnetic field, the rate of change of flux is negative, inducing a negative emf. - The graph should show a positive peak when entering, zero when the entire loop is within the field, and a negative peak when exiting.- **

Answered: Image /qna-images/answer/eef8b60e-27f2-4a81-80ae-d01bc687cc23.jpg

1. Loop moving into a Constant Magnetic Field. Consider a square loop with side length 1m moving at a rate 0.1 m/s in the +x-direction into a magnetic field 6m long with constant strength and direction of B = 1 T 2 (into the page). a. Sketch a diagram of the magnetic flux vs. time with t=0 when the right edge of the square loop just starts to enter the magnetic field. b. Sketch a diagram of the induced electromotive force.

1. Loop moving into a Constant Magnetic Field. Consider a square loop with side length 1m moving at a rate 0.1 m/s in the +x-direction into a magnetic field 6m long with constant strength and direction of B = 1 T 2 (into the page). a. Sketch a diagram of the magnetic flux vs. time with t=0 when the right edge of the square loop just starts to enter the magnetic field. b. Sketch a diagram of the induced electromotive force.

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

Similar questions

20. The image shows a non-constant B-field driving a counter clockwise current in a loop of wire with radius R. For B = et², what is the E-field on the wire at radius R? A. B. C. D. E. tet² R tet² R² tet² R tet2 R² None of the above X X X X X X R X X
3. The N and S pole faces of a bent cylinder magnet form are separated from one another by a small gap, forming the magnetic analogue of a parallel plate capacitor. Positive magnetic charge is uniformly distributed on the north pole face and negative magnetic charge is uniformly distributed on the south pole face. If the magnetic field B in the gap is 0.2 Tesla, what is the magnetic surface charge density on each of the two pole faces? If the radius of the pole faces is 4.0 cm, what is the force of attraction between them?
A 15-turn circular coil has radius of r = 2 [cm] and a resistance of R = 10 [0]. The coil is in a uniform magnetic field of 0.99 [T] that is perpendicular to the plane of the coil. a. flux? What is the value of the magnetic b. emf and the induced current in the coil? lemf| [V] I = What is the value of the induced C. _ emf? |emf] = [A] Now, the value of the magnetic field is increasing from 0.99 [T] to 2.6 [T] in At = 1.6 [s]. : What is the value of the induced [V] What is the value of the induced d.. current in the coil? I = [A]
6. The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm apart. The system is in a uniform magnetic field of strength 0.75 T, which is directed into the page. The resistances of the rod and the rails are negligible. a. What is the emf (including its sense) induced in the rod when it is moving to the right with a speed of 5.0 m/s? b. What force is required to keep the rod moving at this speed? c. What is the rate at which work is done by this force? d. What is the power dissipated in the resistor? B x M x x t x 25 cm 5.0 m/s 0.25 N * N
q1:
Physics 6. A loop of area 0.250 m2 is in a uniform 0.020 0-T magnetic field. If the flux through the loop is 3.8310-3 T·m2, what angle does the normal to the plane of the loop make with the direction of the magnetic field?
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
N circular loops of conducting wire of radius 3.0 cm carries a current of 10 A. If the magnetic field at the center of the multiple turns of loop is 3.14 x 10-3 T, how many turns of loop are in the conducting coil? a. 15 b. 10 c. 30 d. 20 e. 25
2. A straight horizontal copper rod carries a current of 60.0 A from west to east in a region between the poles of a large electromagnet. In this region there is a horizontal magnetic field toward the northeast (that is, 65° north of east) with magnitude 2.10 T. a. Find the magnitude and direction of the force on a 125-m section of rod. b. While keeping the rod horizontal, how should it be oriented to maximize the magnitude of the force? What is the force magnitude in this case?
9
1. A magnetic field has a magnitude of 1.50 × 10-³ T, and an electric field has a magnitude of 4.00 × 10³ N/C. Both fields -3 point in the same direction. A positive 2.5 µC charge moves at a speed of 2.50 × 106 m/s in a perpendicular to both fields. Determine the magnitude of the net force that acts on the charge. N ssfánection that is 0 ssf60 sf60 ss 50 ssf6 €60 ssf60 ss
= A single-turn circular loop has a radius of 25 cm, it is placed in a magnetic field of B 3.5 T which is perpendicular to the plane of the loop, see the figure below. The loop is reshaped into a perfect square without stretching the length of the loop. It takes 0.43 s to reshape the loop. What is the magnetic flux through the loop before and after it is reshaped? B X X X X X X X X X X X X X x x The final flux, Of = 5 x X X X X X X The initial flux, ¡ = 0.0000006 X Units mWb Х Х The induced emf, Emf = 34 X Units mWb x X X X What is the magnitude of the average induced emf in the loop during the reshaping process? X Units mV хх Question Help: Message instructor Post to forum