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Question

Question: A resonant ac circuit contains a capacitor of capacitance \(10^{- 6}F\) and an inductor of \(10^{- 4...

A resonant ac circuit contains a capacitor of capacitance 106F10^{- 6}F and an inductor of 104H.10^{- 4}H. The frequency of electrical oscillations will be

A

105Hz10^{5}Hz

B

10 Hz

C

1052πHz\frac{10^{5}}{2\pi}Hz

D

102πHz\frac{10}{2\pi}Hz

Answer

1052πHz\frac{10^{5}}{2\pi}Hz

Explanation

Solution

ν=12πLC=12π106×104=1052πHz\nu = \frac{1}{2\pi\sqrt{LC}} = \frac{1}{2\pi\sqrt{10^{- 6} \times 10^{- 4}}} = \frac{10^{5}}{2\pi}Hz