AIIMS2017Physics-Alternating Current

AIIMS 2017 Physics Impedance MCQ Question

Type: MCQ-conceptual-Medium-Class 12

A series R-C circuit is connected to an AC voltage source. Consider two cases: (A) when C is without a dielectric medium and (B) when C is filled with a dielectric of constant 4. The current IRI_R through the resistance and voltage VCV_C across the capacitor are compared in the two cases. Which of the following is true?

A

IRA>IRBI_R^{A} > I_R^{B}

B

IRA<IRBI_R^{A} < I_R^{B}

C

VCA<VCBV_C^{A} < V_C^{B}

D

None of these

Correct Answer

Option B

Detailed Explanation

The relationship ZA>ZBZ_A > Z_B indicates that the impedance ZAZ_A is greater than ZBZ_B, which means that the current IRAI_R^A through the resistor in the first case is less than the current IRBI_R^B in the second case, as current is inversely proportional to impedance (I=VZI = \frac{V}{Z}). Therefore, IRB>IRAI_R^B > I_R^A is a valid conclusion based on the given impedance values. The other options are not relevant as they do not provide any additional information or correct interpretations related to the impedance and current relationship in this context.

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