Question

The frequency at which the inductive reactance of $2H$ inductance will be equal to the capacitive reactance of 2 $\mu$F capacitance (nearly)

• A. 80 Hz
• B. 40 Hz
• C. 60 Hz
• D. 20 Hz

Answer 1

Answer: (A)

80 Hz

$X_L=X_C$

$WL=\frac{1}{WC}$

$W^2=\frac{1}{LC}$

$W=\sqrt{\frac{1}{LC}}$

$f=\frac{1}{2\pi }\sqrt{\frac{1}{LC}}$

$=\frac{1}{2\pi }\sqrt{\frac{1}{2\times 2\times {10}^{-6}}}$

$=\frac{1}{2\pi }\times \frac{1}{2\times {10}^{-3}}$

$=\frac{{10}^3}{4\pi }$

$=80Hz$