answer parts c, d, and e Problem 4: A conducting rod spans a gap of length L = 0.248 m and acts as the fourth sideof a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.75 Tpointing into the paper is in the region. The rod is moving under an external force with anacceleration a = At?, where A = 5.5 m/s*. The resistance in the wire is R = 185 Q.XXBXRandomized VariablesRLL = 0.248 mXXXB = 0.75 TXXXA = 5.5 m/sR= 185 QXPart (a) Express the magnitude of the magnetic flux going through the loop, , in terms of B, x and L.78HOMEAВd56h* 12 31m-ENDvol BACKSPACE DEL CLEARSubmitHintFeedbackI give up!Part (b) Express the speed of the rod, v, in terms of A and t. Assume v = 0 at t = 0.Part (c) Express the position of the rod, x, in terms of A and t. Assume x = 0 at t = 0.Part (d) Express the derivative of the magnetic flux, do/Part (e) Express the magnitude of the emf induced in the loop, ɛ, in terms of B, L. A and t.Part (f) Express the current induced in the loop, I, in terms of ɛ and R.Part (g) Express the current induced in the loop, I, in terms of B, L, A, t, and R.Part (h) Calculate the numerical value of I at t= 2s in A.in terms of B, A, L and t.www

Answered: Image /qna-images/answer/ad5cbfb8-f5aa-48b0-bacc-b27ff8c44987.jpg

Problem 4: A conducting rod spans a gap of length L = 0.248 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.75 T pointing into the paper is in the region. The rod is moving under an external force with an acceleration a = At?, where A = 5.5 m/s*. The resistance in the wire is R = 185 Q. X X X X B X X X X Randomized Variables R V X X' L = 0.248 m B = 0.75 T X X A = 5.5 m/s R = 185 2 Part (a) Express the magnitude of the magnetic flux going through the loop, , in terms of B, x and L. HOME A B d | A 4 5 6. 1 1 2 3 + END P vol BACKSPACE CLEAR Submit Hint Feedback I give up! Part (b) Express the speed of the rod, v, in terms of A and t. Assume v = 0 at t = 0. Part (c) Express the position of the rod, x, in terms of A and t. Assume x = 0 at t = 0. Part (d) Express the derivative of the magnetic flux, do/dt, in terms of B, A, L and t. Part (e) Express the magnitude of the emf induced in the loop, ɛ, in terms of B, L, A and t. ww

Problem 4: A conducting rod spans a gap of length L = 0.248 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.75 T pointing into the paper is in the region. The rod is moving under an external force with an acceleration a = At?, where A = 5.5 m/s*. The resistance in the wire is R = 185 Q. X X X X B X X X X Randomized Variables R V X X' L = 0.248 m B = 0.75 T X X A = 5.5 m/s R = 185 2 Part (a) Express the magnitude of the magnetic flux going through the loop, , in terms of B, x and L. HOME A B d | A 4 5 6. 1 1 2 3 + END P vol BACKSPACE CLEAR Submit Hint Feedback I give up! Part (b) Express the speed of the rod, v, in terms of A and t. Assume v = 0 at t = 0. Part (c) Express the position of the rod, x, in terms of A and t. Assume x = 0 at t = 0. Part (d) Express the derivative of the magnetic flux, do/dt, in terms of B, A, L and t. Part (e) Express the magnitude of the emf induced in the loop, ɛ, in terms of B, L, A and t. ww

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 69AP: The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm...

See similar textbooks

Similar questions

Two frictionless conducting rails separated by l = 55.0 cm are connected through a 2.00- resistor, and the circuit is completed by a bar that is free to slide on the rails (Fig. P32.71). A uniform magnetic field of 5.00 T directed out of the page permeates the region, a. What is the magnitude of the force Fp that must be applied so that the bar moves with a constant speed of 1.25 m/s to the right? b. What is the rate at which energy is dissipated through the 2.00- resistor in the circuit?
A conducting single-turn circular loop with a total resistance of 5.00 is placed in a time-varying magnetic field that produces a magnetic flux through the loop given by B = a + bt2 ct3, where a = 4.00 Wb, b = 11.0 Wb/s2, and c = 6.00 Wb/s3. B is in webers, and t is in seconds. What is the maximum current induced in the loop during the time interval t = 0 to t = 3.50 s?
Design a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will produce an emf =0 sin t. where 0=110V and 0=110V .
How many turns must be wound on a flat, circular coil of radius 20 cm in order to produce a magnetic field of magnitude 4.0105 T at the center of the coil when the current through it is 0.85 A?
The magnetic flux through a metal ring varies with time t according to (B = at3 bt2, where (B is in webers, a = 6.00 s3, b = 18.0 s2, and t is in seconds. The resistance of the ring is 3.00 . For the interval from t = 0 to t = 2.00 s, determine the maximum current induced in the ring.
A solenoid is 40 cm long, has a diameter of 3.0 cm, and is wound with 500 turns. If the current through the windings is 4.0 A, what is the magnetic field at a point on the axis of the solenoid that is (a) at the center of the solenoid, (b) 10.0 cm from one end of the solenoid, and (c) 5.0 cm from one end of the solenoid? (d) Compare these answers with the infinite-solenoid case.
Within the green dashed circle show in Figure P30.21, the magnetic field changes with time according to the expression B = 2.00t3 4.00t2 + 0.800, where B is in teslas, t is in seconds, and R = 2.50 cm. When t = 2.00 s, calculate (a) the magnitude and (b) the direction of the force exerted on an electron located at point P, which is at a distance r = 5.00 cm from the center of the circular field region. (c) At what instant is this force equal to zero? Figure P30.21
Sketch a plot of the magnitude of the magnetic field as a function of position r for a coax (Fig. P31.27).
A single-turn square loop of wire, 2.00 cm on each edge, carries a clockwise current of 0.200 A. The loop is inside a solenoid, with the plane of the loop perpendicular to the magnetic field of the solenoid. The solenoid has 30.0 turns/cm and carries a clockwise current of 15.0 A. Find (a) the force on each side of the loop and (b) the torque acting on the loop.
Two long coaxial copper tubes, each of length L, are connected to a battery of voltage V. The inner tube has inner radius o and outer radius b, and the outer tube has inner radius c and outer radius d. The tubes are then disconnected from the battery and rotated in the same direction at angular speed of radians per second about their common axis. Find the magnetic field (a) at a point inside the space enclosed by the inner tube r d. (Hint: Hunk of copper tubes as a capacitor and find the charge density based on the voltage applied, Q=VC, C=20LIn(c/b) .)
A rectangular loop of wire has dimensions 0.500 m by 0.300 m. The loop is pivoted at the x axis and lies in the xy plane as shown in Figure P28.34. A uniform magnetic field of magnitude 1.50 T is directed at an angle of 40.0 with respect to the y axis with field lines parallel to the yz plane. The loop carries a current of 0.900 A in the direction shown. (Ignore gravitation.) We wish to evaluate the torque on the current loop. (a) What is the direction of the magnetic force exerted on wire segment ab? (b) What is the direction of the torque associated with this force about an axis through the origin? (c) What is the direction of the magnetic force exerted on segment cd? (d) What is the direction of the torque associated with this force about an axis through the origin? (e) Can the forces examined in parts (a) and (c) combine to cause the Loop to rotate around the x axis? (f) Can they affect the motion of the loop in any way? Explain. (g) What is the direction of the magnetic force exerted on segment bc? (h) What is the direction of the torque associated with this force about an axis through the origin? (i) What is the torque on segment ad about an axis through the origin? (j) From the point of view of Figure P28.34, once the loop is released from rest at the position shown, will it rotate clockwise or counterclockwise around the x axis? (k) Compute the magnitude of the magnetic moment of the loop. (l) What is the angle between the magnetic moment sector and the magnetic field? (m) Compute the torque on the loop using the results to parts (k) and (l). Figure P28.34
, (a) At what angle 0 is tlie torque on a current loop 90.0% of maximum? (b) 50.0% of maximum? (c) 10.0% of maximum?