A long, straight current carrying solenoid creates a uniform magnetic field B=7mT inside itself when the current is l=35A. number of turns per unit length, n = 160. Suppose this solenoid is connected to an AC circuit inside a physics laboratory. If the length of the solenoid is I = 43cm and the diameter is d=4cm. After Calculation, its self inductance L1 = 0.00001736552 F. Suppose we have a rectangular loop S2 made by a conducting material with N2 = 39 turns and length, a = 30 cm and width b = 17cm. 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 = 4mH and the rate of change of current in the coil S1 is 10 A/s. D) Calculate the mutually induced emf in S2 due to S1 . (Answer in V) E) Suppose the current in S1 is now I = 7cos(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 =5s. (Answer in V) Note: You have to select the radian mode in your calculator to calculate the value of the trigonometric function. Rate of change in magnetic flux F) Calculate the mutually induced emf in S2 due to S1 when t =5s . (Answer in V)

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)...

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Use the following constants if necessary. Coulomb constant, k = 8.987×10^9 N⋅m^2/C^2 . Vacuum permitivity, ϵ0= 8.854×10^−12 F/m. Magnetic Permeability of vacuum, μ0 = 12.566370614356×10^−7 H/m. Magnitude of the Charge of one electron, e = −1.60217662×10^−19 C. Mass of one electron, m_e = 9.10938356×10^−31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .

A long, straight current carrying solenoid creates a uniform magnetic
field B=7mT inside itself when the current is l=35A. number of turns
per unit length, n = 160.
Suppose this solenoid is connected to an AC circuit inside a physics
laboratory. If the length of the solenoid is I = 43cm and the diameter is
d=4cm. After Calculation, its self inductance L1 = 0.00001736552 F.
Suppose we have a rectangular loop S2 made by a conducting
material with N2 = 39 turns and length, a = 30 cm and width b = 17cm.
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 =
4mH and the rate of change of current in the coil S1 is 10 A/s.
D) Calculate the mutually induced emf in S2 due to S1 . (Answer in
V)
E) Suppose the current in S1 is now I= 7cos(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 =5s. (Answer in V)
Note: You have to select the radian mode in your calculator to
calculate the value of the trigonometric function.
Rate of change in magnetic flux
F) Calculate the mutually induced emf in S2 due to S1 when t =5s .
(Answer in V)

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