Answer :

We know that induced EMF is given by

thus negative sign indicates that induced EMF (∈) oppose any change increases or decreases of current in the coil

when maximum rate of change of current then back EMF in solenoid is (u) is maximum

this AB occur on the graph

so maximum back EMF will be obtained between 5s < t < 10s

for 0 < t < 5s ,

since back EMF at t = 3s

hence rate of change of current t=3s

if where L = constant

EMF is

similarly, we have for other value

for 5s < t < 10s

thus at t = 7s u_{1} = -3e

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