An inductor of inductance 2 μ H 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 μ H 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)) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

(1/2 π fC )=2 π fL C =(1/4 π2 f 2 L )=(1/4 × π2 × 49 × 106 × 2 × 10-6) C =(1/3872) F x =3872

Q. An inductor of inductance $2 μ H$ is connected in series with a resistance, a variable capacitor and an $A C$ source of frequency $7 k Hz$ . The value of capacitance for which maximum current is drawn into the circuit is $\frac{1}{x} F$ , where the value of $x$ is__
$($ Take $π = \frac{22}{7})$

$\frac{1}{2 π f C} = 2 π f L$
$C = \frac{1}{4 π ^{2} f ^{2} L} = \frac{1}{4 \times π ^{2} \times 49 \times 1 0 ^{6} \times 2 \times 1 0 ^{- 6}}$
$C = \frac{1}{3872} F$
$x = 3872$

Q. An inductor of inductance 2μH is connected in series with a resistance, a variable capacitor and an AC source of frequency 7kHz. The value of capacitance for which maximum current is drawn into the circuit is x1​F, where the value of x is__ ( Take π=722​)

2πfC1​=2πfL C=4π2f2L1​=4×π2×49×106×2×10−61​ C=38721​F x=3872

$\frac{1}{2 π f C} = 2 π f L$
$C = \frac{1}{4 π ^{2} f ^{2} L} = \frac{1}{4 \times π ^{2} \times 49 \times 1 0 ^{6} \times 2 \times 1 0 ^{- 6}}$
$C = \frac{1}{3872} F$
$x = 3872$