Question:
Same current is flowing in two AC circuits. First contains only inductance and second contains only capacitance. If frequency of AC is increased for both, the current will
Same current is flowing in two AC circuits. First contains only inductance and second contains only capacitance. If frequency of AC is increased for both, the current will
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Inductive reactance rises with frequency while capacitive reactance falls with frequency.
Updated On: Nov 12, 2026
- increase in first circuit and decrease in second
- increase in both circuits
- decrease in both circuits
- decrease in first circuit and increase in second
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The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept
Inductive reactance is \(X_L=2\pi fL\). Capacitive reactance is \(X_C=\dfrac{1}{2\pi fC}\).
Step 2: Effect of raising frequency
\(X_L\) increases, so the current \(I=\dfrac{V}{X_L}\) decreases in the first circuit.
\(X_C\) decreases, so the current \(I=\dfrac{V}{X_C}\) increases in the second circuit.
Step 3: Compare the options
This is option (D).
Final Answer:
The current decreases in the inductive circuit and increases in the capacitive circuit. \[ \boxed{\text{(D) }\text{decrease in first circuit and increase in second}} \]
Inductive reactance is \(X_L=2\pi fL\). Capacitive reactance is \(X_C=\dfrac{1}{2\pi fC}\).
Step 2: Effect of raising frequency
\(X_L\) increases, so the current \(I=\dfrac{V}{X_L}\) decreases in the first circuit.
\(X_C\) decreases, so the current \(I=\dfrac{V}{X_C}\) increases in the second circuit.
Step 3: Compare the options
This is option (D).
Final Answer:
The current decreases in the inductive circuit and increases in the capacitive circuit. \[ \boxed{\text{(D) }\text{decrease in first circuit and increase in second}} \]
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