MHT CET · Physics · Alternating Current

Same current is flowing in two alternating circuits. The first circuit contains only inductance and the other contains only a capacitor. If the frequency of the emf of \(\mathrm{AC}\) is increased, the effecton the value of the current will be

A increases in the first circuit and decreases in the other
B increases in both the circuits
C decreases in both the circuits
D decreases in the first circuit and increases in the other

Verified Solution

Answer & Solution

Correct Answer

(D) decreases in the first circuit and increases in the other

Step-by-step Solution

Detailed explanation

\(I_{L}=\frac{V}{X_{L}}\) and \(I_{C}=\frac{V}{X_{C}}\)
ie, \(I_{L} \propto \frac{1}{\omega}\) and \(I_{C} \propto \omega\)
\(\therefore\) with increase in \(\omega, I_{L}\) decreases while \(I_{C}\) 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.

Same subject

Explore more questions on app

From MHT CET

Explore more questions on app