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Alternating Current question

2023 · Q144
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Alternating Current question

2023 · Q144

NEETPhysicsAlternating CurrentMCQ+4 / −1

An ac source is connected to a capacitor C. Due to decrease in its operating frequency

  1. A
    displacement current increases.
  2. B
    displacement current decreases.
  3. C
    capacitive reactance remains constant.
  4. D
    capacitive reactance decreases.
View written solutionFree

Correct answer: B

When an AC source is connected to a capacitor, the current (I) depends on the capacitive reactance (XC), where $$X_{C} = \frac{1}{\omega C}$$, with $\omega$ representing the angular frequency $\omega = 2\pi f$, and C denoting the capacitance.

The formula for capacitive reactance shows that it is inversely proportional to the frequency (f) of the operation.

Thus, if the frequency decreases, the capacitive reactance increases because $X_{C} = \frac{1}{\omega C}$ and $\omega$ is proportional to frequency.

As capacitive reactance increases, the displacement current (I), which flows through the capacitor, decreases according to the relationship $I = \frac{V}{X_{C}}$, with V being the voltage across the capacitor.

So, among the given choices, the correct interpretation is that the displacement current decreases with a decrease in operating frequency.

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