Q. 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?

 (14πε0 = 9 × 109 Nm2 / C2)

(1) 1.28 × 107 N/C 

(2) 1.28 × 104 N/C 

(3) 1.28 × 106 N/C 

(4) 1.28 × 105 N/C

 

Ans. (4)

Solution:

Magnitude of electric field, E = kQr2 Given, charge(Q) =3.2×10-7C and r = 15 cm = 15×10-2 mE = 9×109×3.2×10-715×15×10-4 E = 3.225×106 =0.128×106 E = 1.28×105 N/C