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JEE Mains · Physics · STD 12 -7. Alternating current
The angular frequency of alternating current in a \(L-C-R\) circuit is \(100\, rad / s\). The components connected are shown in the figure. Find the value of inductance of the coil and capacity of condenser.
- A \(0.8\, H\) and \(150\, \mu F\)
- B \(0.8\, H\) and \(250\, \mu F\)
- C \(1.33\, H\) and \(250\, \mu F\)
- D \(1.33\, H\) and \(150\, \mu F\)
Answer & Solution
Correct Answer
(B) \(0.8\, H\) and \(250\, \mu F\)
Step-by-step Solution
Detailed explanation
Current through \(60 \Omega\) resistance \(=\frac{15}{60}=\frac{1}{4} A\) thus capacitor current \(=\frac{1}{4} A\) \(\because V _{ C }= I X _{ C }\) \(10=\frac{1}{4} \times \frac{1}{\omega C}\) \(\therefore C =\frac{1}{40 \omega}=\frac{1}{4000}=250 \mu F\) Now, current through…
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