Question

In a series LCR circuit, the voltage across the resistance, capacitance and inductance is 10 V each. If the capacitance is short circuited, the voltage across the inductance will be ______.

Options

• 10 V

• `10sqrt2 V`

• `10//sqrt2 V`

• 20 V

Answer 1

In a series LCR circuit, the voltage across the resistance, capacitance and inductance is 10 V each. If the capacitance is short circuited, the voltage across the inductance will be `bbunderline(10//sqrt2 V)`.

Explanation:

X_C = X_L = R

V = `sqrt(V_R^2 + (V_L - V_C)^2)  "but"  V_L = V_C`

∴ V = V_R = 10

When capacitor is short circuited, V_C = 0

and V_R = V_L

∴ V = `sqrt(V)_R^2 + V_L^2 or 10 = sqrt2V_L`

∴ V_L = `10/(sqrt2)V`.