Question

In the given circuit, rms value of current (I_rms) through the resistor R is:

विकल्प

• 2 A

• `1/2` A

• 20 A

• `2sqrt2` A

Answer 1

2 A

Explanation:

Given, capacitive reactance, (X_C) = 100 Ω

Inductive reactance (X_L) = 200 Ω

Resistance (R) = 100 Ω

Impedance (Z) = `sqrt(R^2 + (X_L - X_C)^2)`

= `sqrt(100^2 + (200 - 100)^2)`

= `100 sqrt2` Ω

RMS value of current, `(i_(rms)) = V_(rms)/Z`

= `(200 sqrt2)/(100 sqrt2)`

= 2 A