MHT CET · Physics · Alternating Current

Same current is flowing in two alternating circuits. The first circuit contains only inductor and the other contains only a capacitor. If the frequency of the alternating e.m.f. is increased, the values of current will

A decrease in first circuit and increase in the other.
B increase in first circuit and decrease in the other.
C increase in both circuits.
D decrease in both circuits.

Verified Solution

Answer & Solution

Correct Answer

(A) decrease in first circuit and increase in the other.

Step-by-step Solution

Detailed explanation

For inductor,
\(
I \propto \frac{1}{X_L} \propto \frac{1}{f}
\)
Hence, as frequency increases, current decreases.
For capacitor,
\(I \propto \frac{1}{X_C} \propto f\)
Hence, as frequency increases, current increases.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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