Question 734: Electrostatics & Capacitance

Question

A spherical conductor of radius 10 cm has a charge of 3.2 $$ 	imes $$ 10
-7
C distributed uniformly. That is the magnetude of electric field at a point 15 cm from the centre of the sphere?
$$\left( {{1 \over {4\pi {\varepsilon _0}}} = 9 	imes {{10}^9}N{m^2}/{c^2}} ight)$$

Accepted Answer

The electric field for the conducting sphere, away from the surface is given by,
$$E = {1 \over {4\pi {\varepsilon _0}}}{Q \over {{r^2}}}$$
$$ = {{9 	imes {{10}^9} 	imes 3.2 	imes {{10}^{ - 7}}} \over {225 	imes {{10}^{ - 4}}}}$$
$$ = 0.128 	imes {10^6}$$
$$ = 1.28 	imes {10^5}$$
 N/C

Answer

1.28 $$ 	imes $$ 10
5
N/C

Answer

1.28 $$ 	imes $$ 10
6
N/C

Answer

1.28 $$ 	imes $$ 10
7
N/C

Answer

1.28 $$ 	imes $$ 10
4
N/C

Electrostatics & Capacitance

A spherical conductor of radius 10 cm has a charge of 3.2 $ \times 10 -7 C distributed uniformly. That is the magnetude of electric field at a point 15 cm from the centre of the sphere? \left( {{1 \over {4\pi {\varepsilon _0}}} = 9 \times {{10}^9}N{m^2}/{c^2}} \right)

Choose the correct answer: