Problem 6: A rod AB with length L-0.195 m is lying on a rectangular conducting loop of zero resistance in a magnetic field as shown in the figure. The magnetic field has a constant magnitude B-0.15 T. The rod is moving to the right with speed v- 0.67 m/s. The resistance on AB is R-195 Ω Randomized Variables L= 0.195 m B 0.15 T v- 0.67 m/s R= 195 Ω Δ Part (a) Express the change of the magnetic flux going through the loop I, ΔΦ1, in terms of B, V, L and Δ At HOME 4 5 6 BACKSPACE CLEAR Submit Hint I give up! Hints: 1 %, deduction per hint. Hints remaining: 1 Feedback: 1%. deduction per feedback. A Part (b) Express the magnitude of the average emf induced in loop 1, ej, in terms of B, L ana v Part (c) Calculate the numerical value of ε1, in volts. Part (d) What's the direction of the current induced by ε? Part (e) Express the change of the magnetic flux going through the loop 2, ΔΦ2, in Part (f) Express the magnitude of the emf induced in loop 2, in terms of B, L and Counterclockwise. Correct! terms of BvL and Δ , , A Part (g) Calculate the numerical value of e2, in volts.

Problem 6: A rod AB with length L-0.195 m is lying on a rectangular conducting loop of zero resistance in a magnetic field as shown in the figure. The magnetic field has a constant magnitude B-0.15 T. The rod is moving to the right with speed v- 0.67 m/s. The resistance on AB is R-195 Ω Randomized Variables L= 0.195 m B 0.15 T v- 0.67 m/s R= 195 Ω Δ Part (a) Express the change of the magnetic flux going through the loop I, ΔΦ1, in terms of B, V, L and Δ At HOME 4 5 6 BACKSPACE CLEAR Submit Hint I give up! Hints: 1 %, deduction per hint. Hints remaining: 1 Feedback: 1%. deduction per feedback. A Part (b) Express the magnitude of the average emf induced in loop 1, ej, in terms of B, L ana v Part (c) Calculate the numerical value of ε1, in volts. Part (d) What's the direction of the current induced by ε? Part (e) Express the change of the magnetic flux going through the loop 2, ΔΦ2, in Part (f) Express the magnitude of the emf induced in loop 2, in terms of B, L and Counterclockwise. Correct! terms of BvL and Δ , , A Part (g) Calculate the numerical value of e2, in volts.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter32: Faraday’s Law Of Induction

Section: Chapter Questions

Problem 75PQ: A rectangular conducting loop with dimensions w = 32.0 cm and h = 78.0 cm is placed a distance a =...

See similar textbooks

Similar questions

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?
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 metal bar of length 25 cm is placed perpendicular to a uniform magnetic field of strength 3 T. (a) Determine the induced emf between the ends of the rod when it is not moving, (b) Determine the emf when the rod is moving perpendicular to its Length and magnetic field with a speed of 50 cm/s.
A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.50 T in 1.00 s. What is the resulting induced current if the loop has a resistance of 2.00 ?
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.
Review. Figure P31.31 shows a bar of mass m = 0.200 kg that can slide without friction on a pair of rails separated by a distance = 1.20 m and located on an inclined plane that makes an angle = 25.0 with respect to the ground. The resistance of the resistor is R = 1.00 and a uniform magnetic field of magnitude B = 0.500 T is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails?
A constant magnetic field of 0.275 T points through a circular loop of wire with radius 3.50 cm as shown in Figure P32.1. a. What is the magnetic flux through the loop? b. Is a current induced in the loop? Explain. FIGURE P32.1
A square loop with side length L, mass M, and resistance R lies in the xy plane. A magnetic field B = B0(y/L) k is present in the region of the space near the loop. Determine the magnitude and direction of the induced current in the loop as the loop starts moving at velocity v = B0(y/L) j.
A thin conducting bar (60.0 cm long) aligned in the positive y direction is moving with velocity v=(1.25m/s)i in a region with a spatially uniform 0.400-T magnetic field directed at an angle of 36.0 above the xy plane. a. What is the magnitude of the emf induced along the length of the moving bar? b. Which end of the bar is positively charged?
A helicopter (Fig. P30.11) has blades of length 3.00 m, extending out from a central hub and rotating at 2.00 rev/s. If the vertical component of the Earths magnetic field is 50.0 T, what is the emf induced between the blade tip and the center hub? Figure P30.11
Review. Figure P31.31 shows a bar of mass m that can slide without friction on a pair of rails separated by a distance and located on an inclined plane that makes an angle with respect to the ground. The resistance of the resistor is R. and a uniform magnetic field of magnitude H is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails?
A rectangular conducting loop with dimensions w = 32.0 cm and h = 78.0 cm is placed a distance a = 5.00 cm from a long, straight wire carrying current I = 7.00 A in the downward direction (Fig. P32.75). a. What is the magnitude of the magnetic flux through the loop? b. If the current in the wire is increased linearly from 7.00 A to 15.0 A in 0.230 s, what is the magnitude of the induced emf in the loop? c. What is the direction of the current that is induced in the loop during this time interval?