JEE Mains · Physics · STD 12 -7. Alternating current
An inductor of \(0.5 \,mH\), a capacitor of \(200 \,\mu F\) and a resistor of \(2 \,\Omega\) are connected in series with a \(220 \,V\) ac source. If the current is in phase with the emf, the frequency of ac source will be ................ \(\times 10^{2} \,Hz\)
- A \(6\)
- B \(5\)
- C \(4\)
- D \(3\)
Answer & Solution
Correct Answer
(B) \(5\)
Step-by-step Solution
Detailed explanation
If Current is in phase with emf then the frequency of source \(=\frac{1}{2 \pi \sqrt{L C}}\) (Resonant frequency) \(\frac{1}{2 \pi \sqrt{\frac{1}{2} \times 10^{-3} \times 2 \times 10^{-4}}}\) \(=\frac{1}{2 \pi} \times \sqrt{10} \times 1000=500 \,Hz\)
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