In a parallel L and C connections, $C = 4 μ F$ and maximum potential difference across capacitor is 1.5 V and maximum current in circuit is $50 mA$ . Determine the oscillation frequency of circuit?

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$1.63 k H z$

$1.39 k H z$

$1.66 k H z$

$1.33 k H z$

answer is B.

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Detailed Solution

$\begin{array}{l} \frac{1}{2} C V_{m}^{2} = \frac{1}{2} {LI}_{m}^{2} \\ \Rightarrow L = \frac{C V_{m}^{2}}{I_{m}^{2}} \\ Now, ω = \frac{1}{\sqrt{LC}} = \frac{I_{m}}{{CV}_{m}} = 8.33 rad / s \end{array}$

$f = \frac{ω}{2 π} = 1.33 kHz$

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