Question

A spherical conductor of radius $50\text{cm}$ has charge of $3.6\mu \text{C}$ distributed over its surface. What is magnitude of electric field at a point $150\text{cm}$ from the centre of the conductor?

• A. $1.44\times {10}^4\text{V/m}$
• B. $3.6\times {10}^3\text{V/m}$
• C. $1.22\times {10}^5\text{V/m}$
• D. $6.2\times {10}^4\text{V/m}$

Answer 1

The correct option is A $1.44\times {10}^4\text{V/m}$

Electric field outside the sphere is given as
$E=\frac{KQ}{r^2}=\frac{9\times {10}^9\times 3.6\times {10}^{-6}}{{\left(\frac{3}{2}\right)}^2}$
$E=1.44\times {10}^4\text{V/m}$