Question:medium
A resistor of resistance R, capacitor of capacitance C and inductor of inductance L are connected in parallel to an AC power source of voltage varepsilon₀sinω t. The maximum current through the resistance is half of the maximum current through the power source. Then value of R is:
A resistor of resistance R, capacitor of capacitance C and inductor of inductance L are connected in parallel to an AC power source of voltage varepsilon₀sinω t. The maximum current through the resistance is half of the maximum current through the power source. Then value of R is:
Show Hint
In parallel AC circuits:
I=√(IR²+(IC-IL)²)
Always compare vector currents, not algebraic sums.
Updated On: Mar 19, 2026
- \(\sqrt{3}\left|\omega C-\dfrac{1}{\omega L}\right|\)
- \(\sqrt{3}\left|\dfrac{1}{\omega C}-\omega L\right|\)
- \(\sqrt{5}\left|\dfrac{1}{\omega C}-\omega L\right|\)
- None of these
Show Solution
The Correct Option is B
Solution and Explanation
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