Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electromagnetic Waves

Question:

A 100 pF capacitor is connected to a 230V, 50 Hz A.C. source. The r.m.s. value of conduction current will be:

Options:

7.2 × 10–6 A

3.6 × 10–5 A

1.8 × 10–4 A

0.9 × 10–3 A

Correct Answer:

7.2 × 10–6 A

Explanation:

The r.m.s. value of conduction current

I = $\frac{\mathrm{V}}{\mathrm{Z}}=\frac{\mathrm{V}}{\frac{1}{2 \pi \mathrm{nC}}}=2 \pi \mathrm{nCV}$

or  I = $2 \times 3.14 \times 50 \times 100 \times 10^{-12} \times 230$

= 7.2 × 10–6 A

Hence the correct answer will be (A)