take another coil S 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 = 8 mH and the rate of change of current in the coil S, is 17 A/s. c) Calculate the self induced emf in S1.

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Please answer this question starting from part(e) to part(i).

A long, straight current carrying solenoid creates a uniform magnetic field B= 12 mT inside itself when the current is I = 35 A.
a) Calculate the number of turns per unit length, n, where the total number of turns is N1.
Turns per unit length, n
Give your answer to at least three significance digits.
b) Suppose this solenoid is connected to an AC circuit inside a physics laboratory. If the length of the solenoid is l = 62 cm and the diameter is
d = 3 cm, calculate its self inductance L1.
Self inductance, L1
Give your answer to at least three significance digits.
F
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
take another coil S1 with self inductance L, 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 = 8 mH and the rate of change of
current in the coil S, is 17 A/s.
c) Calculate the self induced emf in S1.
Self induced emf
Give your answer to at least three significance digits.
V
d) Calculate the rate of change of magnetic flux through each turn in S3 due to Sq.
Rate of change of magnetic flux
Give your answer to at least three significance digits.
V
Transcribed Image Text:A long, straight current carrying solenoid creates a uniform magnetic field B= 12 mT inside itself when the current is I = 35 A. a) Calculate the number of turns per unit length, n, where the total number of turns is N1. Turns per unit length, n Give your answer to at least three significance digits. b) Suppose this solenoid is connected to an AC circuit inside a physics laboratory. If the length of the solenoid is l = 62 cm and the diameter is d = 3 cm, calculate its self inductance L1. Self inductance, L1 Give your answer to at least three significance digits. F 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 take another coil S1 with self inductance L, 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 = 8 mH and the rate of change of current in the coil S, is 17 A/s. c) Calculate the self induced emf in S1. Self induced emf Give your answer to at least three significance digits. V d) Calculate the rate of change of magnetic flux through each turn in S3 due to Sq. Rate of change of magnetic flux Give your answer to at least three significance digits. V
e) Calculate the total change in magnetic flux in Są due to Si between the time t
Os to t = 10s.
Total change in magnetic flux
Give your answer to at least three significance digits.
Wb
f) Calculate the mutually induced emf in S2 due to S1.
Mutually induced emf
Give your answer to at least three significance digits.
V
g) Suppose the current in Si is now I = 6cos (0.0159t) A. Calculate the rate of change of magnetic flux through each turn in Są due to Sı, and then
evaluate it at t = 10 s.
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
Give your answer to at least three significance digits.
V
i) Calculate the mutually induced emf in S, due to S1 when t = 10 s.
Mutually induced emf in Sz due to S1
Give your answer to at least three significance digits.
V
Transcribed Image Text:e) Calculate the total change in magnetic flux in Są due to Si between the time t Os to t = 10s. Total change in magnetic flux Give your answer to at least three significance digits. Wb f) Calculate the mutually induced emf in S2 due to S1. Mutually induced emf Give your answer to at least three significance digits. V g) Suppose the current in Si is now I = 6cos (0.0159t) A. Calculate the rate of change of magnetic flux through each turn in Są due to Sı, and then evaluate it at t = 10 s. 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 Give your answer to at least three significance digits. V i) Calculate the mutually induced emf in S, due to S1 when t = 10 s. Mutually induced emf in Sz due to S1 Give your answer to at least three significance digits. V
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