The switch is closed at . The time after which the rate of dissipation of energy in the resistor is equal to the rate at which energy is being stored in the inductor is:
Step 1: Given Data
The switch is closed at
is the instantaneous time.
Step 2: Formula Used
Powe dissipated=
is the current.
is the resistance.
is the inductance.
is the emf
is the instantaneous time.
, is the time constant
Step 3: Calculation of time after which the rate of dissipation of energy,
Differentiating both sides with respect to
Putting,
We know,
The time after which the rate of dissipation of energy in the resistor is equal to the rate at which energy is being stored in the inductor is
Hence, option A is the correct answer.