The current in a solenoid changes with time as shown in the graph. I0 is 0.180 A. The emf across the solenoid is 3.00 mV. What is the inductance of the solenoid?
0.0270 H
0.000333 H
0.000667 H
0.0135 H
Homework Answers
We know that emf across solenoid is given by:
EMF = -L*dI/dt
L = Inductance of solenoid = ?
EMF = 3.00 mV = 3.00*10^-3 V
From given graph
dI/dt = slope of graph = (I2 - I1)/(t2 - t1)
dI/dt = (0 - 0.180)/(0.02 - 0) = -9 A/s
So,
L = -EMF/(dI/dt)
L = -3.00*10^-3 V/(-9 A/s)
L = 0.000333 H
Correct option is B.
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