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 ______.

पर्याय

• 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:

IR = IX_C = IX_L = 10 V

X_C = X_L = R

`"Z" = sqrt("R"^2 + ("X"_"C" - "X"_"L")^2)`

`"Z" = sqrt("R"^2 + ("R" - "R")^2)`

Z = R

V_S = IZ = IR = 10 V

So, the source voltage is also 10 V.

When the capacitor is short circuited, then

`"Z" = sqrt("R"^2 +("X"_"L")^2`

= `sqrt("R"^2 + "R"^2)`

= `"R"sqrt2`

V_L = I' X_L = `10/(sqrt2"R") xx "R" = 5 sqrt2"V"`