Back to Directory
NEET PHYSICSEasy

A spherical conductor of radius 12 cm has a charge of 1.6×1071.6 \times 10^{-7} C distributed uniformly on its surface. The electric field just outside the sphere is:

A

zero

B

105 NC110^5 \text{ NC}^{-1}

C

105 NC110^{-5} \text{ NC}^{-1}

D

106 NC110^6 \text{ NC}^{-1}

Step-by-Step Solution

For a uniformly charged spherical conductor, the electric field for points outside the sphere (rRr \ge R) acts as if the entire charge is concentrated at the center. Just outside the sphere, the distance rr is equal to the radius RR.

Formula: E=14πε0qR2E = \frac{1}{4\pi\varepsilon_0} \frac{q}{R^2}

Given: Charge q=1.6×107 Cq = 1.6 \times 10^{-7} \text{ C} Radius R=12 cm=0.12 mR = 12 \text{ cm} = 0.12 \text{ m} Constant k=9×109 N m2C2k = 9 \times 10^9 \text{ N m}^2\text{C}^{-2}

Calculation: E=9×109×1.6×107(0.12)2E = \frac{9 \times 10^9 \times 1.6 \times 10^{-7}}{(0.12)^2} E=14.4×1020.0144E = \frac{14.4 \times 10^2}{0.0144} E=105 NC1E = 10^5 \text{ NC}^{-1}

Practice Mode Available

Master this Topic on Sushrut

Join thousands of students and practice with AI-generated mock tests.

Get Started
Solved: PHYSICS Question for NEET | Sushrut