Question 232: AC fundamentals

Question

An inductor of 10 mH is connected to a 20V battery through a resistor of 10 k$$\Omega$$ and a switch. After a long time, when maximum current is set up in the circuit, the current is switched off. The current in the circuit after 1 $$\mu$$s is $${x \over {100}}$$ mA. Then x is equal to ___________. (Take e
$$-$$1
= 0.37)

Accepted Answer

$${I_{\max }} = {V \over R} = {{20V} \over {10K\Omega }} = 2$$ mA
For LR - decay circuit
$$I = {I_{\max }}{e^{ - Rt/L}}$$
$$I = 2mA{e^{{{ - 10 	imes {{10}^3} 	imes 1 	imes {{10}^{ - 6}}} \over {10 	imes {{10}^{ - 3}}}}}}$$
I = 2mA e
$$-$$1
I = 2 $$	imes$$ 0.37 mA
$$I = {{74} \over {100}}$$ mA
x = 74

AC fundamentals

Integer / Numeric Answer Type