Determine the frequency for which a 10 μ F capacitor has a reactance of 2 × 10⁻³ Ω. (a) 25/π MHz (b) 20/π MHz (c) 2 × 10⁻³ MHz (d) 10π MHz π π

Answer: (a). XC = (1)/(2π f C) ⇒ f = (1)/(2π C XC) f = 12π × 10 × 10⁻⁶ × 2 × 10⁻³ = 14π × 10⁻⁸ = 25 × 10⁶π Hz So the answer is (a) 25/π MHz.

Determine the frequency for which a 10 μ F capacitor has a reactance… | MHT CET 2026 (15 Apr, Shift 1)

Q14MHT CET 2026 · 15 APR · SHIFT 1Easy

Pure R, L and C Circuits

Determine the frequency for which a $10\ \mu$ F capacitor has a reactance of $2 \times 10^{-3}\ \Omega$ .

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Answer: (a)

$X_C = \frac{1}{2\pi f C} \Rightarrow f = \frac{1}{2\pi C X_C}$
$f = \frac{1}{2\pi \times 10 \times 10^{-6} \times 2 \times 10^{-3}} = \frac{1}{4\pi \times 10^{-8}} = \frac{25 \times 10^{6}}{\pi}$ Hz
So the answer is (a) $\frac{25}{\pi}$ MHz.

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