If 10⁹ electrons leave a body every second, the time required to accumulate a total charge of 1 C is approximately:
- 200 days
- 200 hours
- 200 years (≈ 6.25 × 10⁹ seconds)
- 2 hours
Show answer and solution
Correct answer: C. 200 years (≈ 6.25 × 10⁹ seconds)
**Charge per second:** 10⁹ × 1.6 × 10⁻¹⁹ = 1.6 × 10⁻¹⁰ C/s.
**Time for 1 C:** 1 / (1.6 × 10⁻¹⁰) = 6.25 × 10⁹ s = 6.25 × 10⁹ / (365 × 24 × 3600) ≈ **198 years ≈ 200 years**.
Shows 1 C is a very large unit for electrostatics.