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An emf source of alternating current of frequency 1500 Hz is connected across an inductor of 150 mF. If the effective flow of alternating current in the inductor is 10 mA, the rms value of the voltage across the capacitor will be
  • a)
    14.13 V
  • b)
    20.05 V
  • c)
    25. 56 V
  • d)
    28.87 V
Correct answer is option 'A'. Can you explain this answer?
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An emf source of alternating current of frequency 1500 Hz is connected...
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The voltage across inductor is given by

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An emf source of alternating current of frequency 1500 Hz is connected...
Given data:
- Frequency of alternating current = 1500 Hz
- Inductance of the inductor = 150 mF = 0.15 H
- Effective current in the inductor = 10 mA = 0.01 A

Calculating the rms voltage across the inductor:
The rms voltage across an inductor in an AC circuit can be calculated using the formula:
\[ V_{\text{rms}} = 2\pi f L I \]
Where:
- \( V_{\text{rms}} \) is the rms voltage across the inductor
- \( f \) is the frequency of the alternating current
- \( L \) is the inductance of the inductor
- \( I \) is the effective current flowing through the inductor
Substitute the given values into the formula:
\[ V_{\text{rms}} = 2 \times \pi \times 1500 \times 0.15 \times 0.01 \]
\[ V_{\text{rms}} = 14.13 \, \text{V} \]
Therefore, the rms value of the voltage across the inductor is 14.13 V. Hence, option 'A' is the correct answer.
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An emf source of alternating current of frequency 1500 Hz is connected across an inductor of 150 mF. If the effective flow of alternating current in the inductor is 10 mA, the rms value of the voltage across the capacitor will bea)14.13 Vb)20.05 Vc)25. 56 Vd)28.87 VCorrect answer is option 'A'. Can you explain this answer?
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