COMEDK · Physics · 23. Alternating Current
A series \(L-C-R\) circuit is connected to an \(\mathrm{AC}\) source of \(220 \mathrm{~V}\) and \(50 \mathrm{~Hz}\) shown in figure. If the readings of the three voltmeters \(V_1, V_2\) and \(V_3\) are \(65 \mathrm{~V}, 415 \mathrm{~V}\) and \(204 \mathrm{~V}\) respectively, the value of inductance and capacitance will be
- A \(2.0 \mathrm{H}, 5 \mu \mathrm{F}\)
- B \(1.0 \mathrm{H}, 5 \mu \mathrm{F}\)
- C \(4.0 \mathrm{H}, 6 \mu \mathrm{F}\)
- D \(1.0 \mathrm{H}, 2 \mu \mathrm{F}\)
Answer & Solution
Correct Answer
(B) \(1.0 \mathrm{H}, 5 \mu \mathrm{F}\)
Step-by-step Solution
Detailed explanation
In a series \(LCR\) circuit, the voltage across the resistor is \(V_R = V_1 = 65 \text{ V}\), the voltage across the capacitor is \(V_C = V_2 = 415 \text{ V}\), and the voltage across the inductor is \(V_L = V_3 = 204 \text{ V}\). The current \(I\) in the circuit is given by…
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