Question

an alternating power supply of 220 V is applied across a series circuit of resistance 10√3 ohm, capacitive reactanc 40 ohm and inductive reactance 30 ohm. The respective currents in the circuit for zero and infinite frequencies are​

Answer 1

Answer:

When AC supply has zero frequency, no current will flow

When AC supply has infinite frequency, no current will flow

Explanation:

Let us first formulate the total impedance of series circuit

Resistance =10√3 ohm

Capacitive impedance=Xc= 1/(2pi f C)  = 40 ohm

Inductive impedance=Xl= 2 pi x f x L = 30 ohm

Total Reactance = √(〖10√3〗^2 )+ 〖Xc〗^(2 )+〖Xl〗^2

Now considering the given conditions;

Condition 1; When AC supply has zero frequency;

In this case; Xc will become infinite and there will be no current flow

Xc= 1/(2pi x 0x C) = ∞

Condition 2; When AC supply has infinite frequency;

In this case; Xl will become infinite and there will be no current flow

Xl= 2 pi x ∞ x L = ∞