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  • The angular frequency of alterating current in a L-C-R circuit is 100rad/s. The components connected are shown in the figure. Find the value of inductance of coil and capacity of condenser. <img alt="" src="https://cdn.entrance360.com/media/uploads/202

The angular frequency of alterating current in a L-C-R circuit is 100rad/s. The components connected are shown in the figure. Find the value of inductance of coil and capacity of condenser.
Option: 1 1.33 H and 250 \mu F
Option: 2 0,8 H and 250 \mu F
Option: 3 1,33 H and 150 \mu F
Option: 4 0.8 H and 150 \mu F

Answers (1)

best_answer

Since the key is open So the new circuit will be as given below

Now

\begin{array}{l} 15=\mathrm{i}_{\mathrm{rms}}(60) \\ \therefore \mathrm{i}_{\mathrm{rms}}=\frac{1}{4} \mathrm{~A} \\ \\ \mathrm{Now}, 20=\frac{1}{4} \mathrm{X}_{\mathrm{L}}=\frac{1}{4}(\omega \mathrm{L}) \\ \\ \therefore \mathrm{L}=\frac{4}{5}=0.8 \mathrm{H} \\ \\ \text { and } 10=\frac{1}{4} \frac{1}{(100 C)} \\ \\ \mathrm{C}=\frac{1}{4000} \mathrm{~F}=250 \mu \mathrm{F} \end{array}

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