-- A small loop of area A = 9.0 mm 2 is inside a long solenoid that has n = 656
ID: 2243435 • Letter: #
Question
--A small loop of area A = 9.0 mm2 is inside a long solenoid that has n = 656 turns/cm and carries a sinusoidally varying current i of amplitude 3.60 A and angular frequency 347 rad/s. The central axis of the loop and solenoid coincide. What is in millivolts the amplitude of the emf induced in the loop?
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N/C V/m V kV mV V/s V/m A small loop of area A = 9.0 mm2 is inside a long solenoid that has n = 656 turns/cm and carries a sinusoid ally varying current i of amplitude 3.60 A and angular frequency 347 rad/s. The central axis of the loop and solenoid coincide. What is in mill volts the amplitude of the emf induced in the loop?Explanation / Answer
Area of loop 'A' = 9 mm^2 = 9*10^-6 m^2
number of turns per cm =656
number of turns per meter 'n' =65600
Current in solenoid=I sin wt
Amplitude of sinusoidal current in solenoid 'I' =3.6 A
Angular frequency 'w' = 347 rad / s
Amplitude of magnetic field in solenoid'B')*A=[(4pi10^-7]nI
amplitude of magnetic flux linked to the loop=B*A
Induced emf e =(d/dt) BA
e=(d/dt)[(4pi0^-7]nI } A
e=[(4pi10^-7)nA](d/dt) i
e=[(4pi10^-7)nA](d/dt) I sin wt
e=[(4pi10^-7)nA*I w cos wt
Amplitude of emf=[(4pi10^-7)nA*I w
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