Question

please help.
Consider the circuit shown in figure There are three switches S1 S2 S3 Match the columns​

Answer 1

Explanation:

When switch S

1

is closed and the others are open, the inductor is essentially out of the circuit and what remains is an RC circuit.

The time constant is τ

C

=RC. When switch S

2

is closed and the others are open, the capacitor is essentially out of the circuit. In this case, what we have is an LR circuit with time constant τ

L

=L/R.

Finally, when switch S

3

is closed and the others are open, the resistor is essentially out of the circuit and what remains is an LC circuit that oscillates with period T=2π

LC

. Substituting L=Rτ

L

and C=τ

C

/R, we obtain, T=2π