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MHT CET · Physics · Alternating Current

Same current is flowing in two different a.c. circuits. First circuit contains only inductance and second contains only capacitance. If the frequency of a.c. is increased in both circuits, the current will

  1. A increase in the first circuit and decrease in second.
  2. B increase in both circuits.
  3. C decrease in both circuits.
  4. D decrease in first circuit and increase in second.
Verified Solution

Answer & Solution

Correct Answer

(D) decrease in first circuit and increase in second.

Step-by-step Solution

Detailed explanation

For inductive circuit: \( X_L = 2 \pi f L \). As \( f \) increases, \( X_L \) increases, so \( I = V/X_L \) decreases. For capacitive circuit: \( X_C = 1/(2 \pi f C) \). As \( f \) increases, \( X_C \) decreases, so \( I = V/X_C \) increases.