Skip to content
doubtly
Topic: Electric flux and Gauss's law applications· Electrostatics

A spherical conductor of radius 10 cm has a charge of 3.2×10^-7 C distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere ?≤ft(1/4πε_0 = 9×10^9\ N m^2/C^2)

1. \(1.28\times10^4\) N/C

2. \(1.28\times10^5\) N/C

3. \(1.28\times10^6\) N/C

4. \(1.28\times10^7\) N/C

1 answer

Best answer

Answer: 2. \(1.28\times10^5\) N/C

Outside a uniformly charged sphere, the field is the same as that of a point charge at the centre.

$$E=\frac{1}{4\pi\epsilon_0}\frac{Q}{r^2}=\frac{9\times10^9\times3.2\times10^{-7}}{(0.15)^2}=\frac{2880}{0.0225}=1.28\times10^5\ \text{N/C}$$

Answer: option 2.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
Was this answer helpful?

Your answer

Log in or create a free account to answer this question.