The figure shows two 26-turn coils tightly wrapped on the same 2.0-cm-diameter c
ID: 1463435 • Letter: T
Question
The figure shows two 26-turn coils tightly wrapped on the same 2.0-cm-diameter cylinder with 1.0-mm-diameter wire. The current through coil 1 is shown in the graph. A positive current is into the page at the top of a loop. Assume that the magnetic field of coil 1 passes entirely through coil 2.(https://session.masteringphysics.com/problemAsset/1384989/3/34.P41.jpg)
Part A
Determine the current in coil 2 at t = 0.05s.
Express your answer as an integer and include the appropriate units.
Part B
Determine the current in coil 2 at t = 0.25s.
Express your answer to two significant figures and include the appropriate units.
Explanation / Answer
A) at t = 0.5 s
current = 0
beacsue there is no change inmagnetic flux through second coil.
B)
from figure, in between time t = 0.1 s to t = 0.3s,
dI/dt = (2 - (-2))/(0.3-0.1)
= 40 A/s
length of coil 1, L = 26*1*10^-3
= 26*10^-3 m
area of the coil, A = pi*d^2/4
= pi*0.2^2/4
= 3.14*10^-4 m^2
magnetic field produced by coil1, B = mue*N*I/L
induced emf in coil2, emf = N*A*dB/dt
= (N*A*mue*N/L)*dI/dt
= (mue*N^2*A/L)*dI/dt
= (4*pi*10^-7*26^2*3.14*10^-4/(26*10^-3))*40
= 4.1*10^-4 volts
induced current in coil2 = induced emf/R
= 4.1*10^-4/2
= 2.1*10^-4 A <<<<<<<<---------------Answer
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