An inductor of inductance 2   μH is connected in series with a resistance, a variable capacitor and an AC source of frequency 7   kHz . The value of capacitance for which maximum current is drawn into the circuit is 1 x   F , where the value of x is ______. (Take π = 22 7 )

Question

An inductor of inductance 2 &#160; &#956;H is connected in series with a resistance, a variable capacitor and an AC source of frequency 7 &#160; kHz . The value of capacitance for which maximum current is drawn into the circuit is 1 x &#160; F , where the value of x is ______. (Take &#960; = 22 7 )

Aicharya · Accepted Answer

For maximum current in series LCR circuit,

$X_{C} = X_{L} \Rightarrow \frac{1}{2 π f C} = 2 π f L$

$\Rightarrow C = \frac{1}{4 π^{2} f^{2} L} = \frac{1}{4 \times π^{2} \times 49 \times 10^{6} \times 2 \times 10^{- 6}}$

$\Rightarrow C = \frac{1}{3872} F$

Therefore, $x = 3872$ .

An inductor of inductance 2   μH is connected in series with a resistance, a variable capacitor…

Solution

An inductor of inductance 2 &#160; &#956;H is connected in series with a resistance, a variable capacitor…

Solution

An inductor of inductance 2 μH is connected in series with a resistance, a variable capacitor…