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(a) Calculate the potential at a point P...

(a) Calculate the potential at a point P due to a charge of` 4 xx 10^(-7) C` located 9 cm away.
(b) Hence obtain the work done in bringing a charge of ` 2 xx 10^(-9) C` from infinity to the point P. Does the answer depend on the path along which the charge is brought ?

Text Solution

Verified by Experts

(a) ` V = (1)/(4pi epsi_0) Q/r = 9 xx 10^9 Nm^2 C^(-2) xx (4 xx 10^(-7))/(0.09 m)`
` = 4 xx 10^4 V`
(b) ` W = qV = 2 xx 10^(-9) C xx 4 xx 10^4 V`
`= 8 xx 10^(-5) J`
No, work done will be path independent. Any arbitrary infinitesimal path can be resolved into two perpendicular displacements : One along and another perpendicular to r. The work done corresponding to the later will be zero.
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