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.

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.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 31P: A coil of 40 turns is wrapped around a long solenoid of cross-sectional area 7.5 × 10-3 m2. The...

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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
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