A small loop of area 10 mm² is placed inside a long solenoid that has 780 turns/cm and carries a sinusoidally varying current i of amplitude 1.4 A and angular frequency 240 rad/s. The central axes of the loop and solenoid coincide. What is the amplitude of the emf induced in the loop?
A small loop of area 10 mm² is placed inside a long solenoid that has 780 turns/cm and carries a sinusoidally varying current i of amplitude 1.4 A and angular frequency 240 rad/s. The central axes of the loop and solenoid coincide. What is the amplitude of the emf induced in the loop?
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Transcribed Image Text:A small loop of area 10 mm2 is placed inside a long solenoid that has 780 turns/cm
and carries a sinusoidally varying current i of amplitude 1.4 A and angular frequency
240 rad/s. The central axes of the loop and solenoid coincide. What is the amplitude
of the emf induced in the loop?
01 0₂; O=B*A*Cose
=
EMF = Nd/dt
N-d Cos(wt)
(EMF =
-; take the derivative; for max EMF Sin(wt) = 1:)
dt
d (BA)
¸d(πr²) _.
dr
d B
dt
BAA
-2arB-
dt
dt
dt
dt
= Aμ ni w
Em
ε = BLv:
-B-
==
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