Calculate the total change in magnetic flux in S, due to S, between the timet = Os to t = 10s.Total change in magnetic fluxGive your answer to at least three significance digits.Wb = 10 turns and length, a = 25 cm and width b = 12 cm. Now weSuppose we have a rectangular loop S2 made by a conducting material with N2take another coil S1 with self inductance L1 and no. of turns N1 and keep it at some distance away from the rectangular loop. We will not be changingthe position of the coil and rectangular loop. The mutual inductance between the coil and the rectangular loop is M = 8 mH and the rate of change ofcurrent in the coil Si is 17 A/s.

Magnetic Flux is the number of magnetic lines passing through a surface. Given Mutual inductance= 8…

Suppose we have a rectangular loop S2 made by a conducting material with N2 = 10 turns and length, a = 25 cm and width b = 12 cm. Now we ake another coil Sį with self inductance Li and no. of turns N1 and keep it at some distance away from the rectangular loop. We will not be changing he position of the coil and rectangular loop. The mutual inductance between the coil and the rectangular loop is M = 8 mH and the rate of change of current in the coil Sı is 17 A/s.

Suppose we have a rectangular loop S2 made by a conducting material with N2 = 10 turns and length, a = 25 cm and width b = 12 cm. Now we ake another coil Sį with self inductance Li and no. of turns N1 and keep it at some distance away from the rectangular loop. We will not be changing he position of the coil and rectangular loop. The mutual inductance between the coil and the rectangular loop is M = 8 mH and the rate of change of current in the coil Sı is 17 A/s.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 82CP: A coaxial cable has an inner conductor of radius a, and outer thin cylindrical shell of radius b. A...

See similar textbooks

Similar questions

The self-inductance of a coil is zero if there is no current passing through the windings. True or false?
A small, rectangular single loop of wire with dimensions 1, and a is placed, as shown in the plan of a much larger, rectangular single loop of wire. The two short sides of the larger loop axe so far from the smaller loop that their magnetic fields over the smaller fields over the smaller loop can be ignored. What is the mutual inductance of the two loops?
A long solenoid with n= 10 turns per centimeter has a cross-sectional area of 5.0 cm2and carries a current of 0.25 A. A coil with five turns encircles the solenoid. When the current through the solenoid is turned off, it decreases to zero in 0.050 s. What is the average emf induced in the coil?
The accompanying figure shows a single-turn rectangular coil that has a resistance of 2. . The magnetic field at all points inside the coil varies according to B=B0eat,B0=0.25T and a = 200 Hz. What is the current induced in the coil at (a) t = 0.001 s, (b) 0.002 s, (c) 2.0 s?
In an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum current through the inductor is 8.0 mA. (a) What is the period of the oscillations? (b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?
A 5000-pF capacitor is charged to 100 V and then quickly connected to an 80-mH inductor. Determine (a) the maximum energy stored in the magnetic field of the inductor, (b) the peak value of the current, and (c) the frequency of oscillation of the circuit.
A coaxial cable has an inner conductor of radius a, and outer thin cylindrical shell of radius b. A current I flows in the inner conductor and returns in the outer conductor. The self-inductance of the structure will depend on bow the current in the inner cylinder tends to be distributed. Investigate the following two extreme cases. (a) Let current in the inner conductor be distributed only on the surface and find the self-inductance. (b) Let current in the inner cylinder be distributed uniformly over its cross-section and find the self-inductance. Compare with your results in (a).
Suppose we have a rectangular loop S2 made by a conducting material with N2 =60turns and length, a=40cm and width b=22cm. Now we take another coil S1 with self-inductance L1 and no. of turns N1 and keep it at some distance away from the rectangular loop. We will not be changing the position of the coil and rectangular loop. The mutual inductance between the coil and the rectangular loop is M=7mH and the rate of change of current in the coil S1 is 7A/s. c) Calculate the self-induced emf in S1. d) Calculate the rate of change of magnetic flux through each turn in S2 due to S1. e) Calculate the total change in magnetic flux in S2 due to S1 between the time t=0s to t=10s
Suppose we have a rectangular loop S2 made by a conducting material with N2 =60turns and length, a=40cm and width b=22cm. Now we take another coil S1 with self-inductance L1 and no. of turns N1 and keep it at some distance away from the rectangular loop. We will not be changing the position of the coil and rectangular loop. The mutual inductance between the coil and the rectangular loop is M=7mH and the rate of change of current in the coil S1 is 7A/s. Suppose the current in S1 is now I=6cos(0.0159t)A. Calculate the rate of change of magnetic flux through each turn in S2 due to S1, and then evaluate it at t =10s. Note: You have to select the radian mode in your calculator to calculate the value of the trigonometric function.
Coil A is a large 300 turn circular coil of radius 77 cm. Circular coil B has 390 turns, a radius of 5 cm and is located L=99 cm from coil A along the same axis. The planes of the two coils are parallel. A) Find the approximate mutual inductance of this pair of coils. for my answer I got 3.527E-10 H which was wrong B) If the current in coil A varies with time according to I=3t3−8t2−1, where I is in amps and t is in s, find the magnitude of the EMF induced in coil B at time t=2 s.
Suppose we have a rectangular loop S2 made by a conducting material with N2 =60turns and length, a=40cm and width b=22cm. Now we take another coil S1 with self inductance L1 and no. of turns N1 and keep it at some distance away from the rectangular loop. We will not be changing the position of the coil and rectangular loop. The mutual inductance between the coil and the rectangular loop is M=7mH and the rate of change of current in the coil S1 is 7A/s. f) Calculate the mutually induced emf in S2 due to S1. g) Suppose the current in S1 is now I=6cos(0.0159t)A. Calculate the rate of change of magnetic flux through each turn in S2 due to S1, and then evaluate it at t =10s. Note: You have to select the radian mode in your calculator to calculate the value of the trigonometric function. i) Calculate the mutually induced emf in S2 due to S1 when t =10s
Determine the mutual inductance between a toroidal coil of N1 turns with square cross section (inner and outer radii, b and a, respectively, and height h) as shown and a second, small toroidal coil of radius r (i.e, radius of the cross-section) and N2 turns that is coaxial with the first coil and fully enclosed within it. Assume that r<<a, b.