Question 188: AC fundamentals

Question

A 100$$\Omega$$ resistance, a 0.1 $$\mu$$F capacitor and an inductor are connected in series across a 250 V supply at variable frequency. Calculate the value of inductance of inductor at which resonance will occur. Given that the resonant frequency is 60 Hz.

Accepted Answer

C = 0.1 $$\mu$$F = 10
$$-$$7
F
Resonant frequency = 60 Hz.
$${\omega _0} = {1 \over {\sqrt {LC} }}$$
$$2\pi {f_0} = {1 \over {\sqrt {LC} }} \Rightarrow L = {1 \over {4{\pi ^2}f_0^2C}}$$
by putting values $$L \simeq 70.3$$ Hz.

Answer

0.70 H

Answer

70.3 mH

Answer

7.03 $$	imes$$ 10$$-$$5 H

Answer

70.3 H

AC fundamentals

A 100$\Omega resistance, a 0.1 \mu$F capacitor and an inductor are connected in series across a 250 V supply at variable frequency. Calculate the value of inductance of inductor at which resonance will occur. Given that the resonant frequency is 60 Hz.

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