Question 918: Electrostats & 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 $$ 	imes $$ 105 N/C

Answer

1.28 $$ 	imes $$ 106 N/C

Answer

1.28 $$ 	imes $$ 107 N/C

Answer

1.28 $$ 	imes $$ 104 N/C

Electrostats & 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: