1.

A point charge of 10−9 C is placed at a point A in free space. Calculate : (i) the intensity of electrostatic field on the surface of sphere of radius 5 cm and centre A.(ii) the difference of potential between two points 20 cm and 10 cm away from the charge at A.

Answer»

(i) E = Q/4πε0 r2 = 10−9/4π × 8.854 × 10−12 × (5 × 10−2)2

= 3,595 V/m

(ii) Potential of first point = Q/4πε0d

= 10−9/4π × 8.854 × 10−12 × 0.2 = 45V 

Potential of second point 

= 10−9 /4π × 8.854 × 10−12 × 0.1 = 90V

∴ p.d. between two points = 90 − 45 = 45 V



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