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(a) Calculate the potential at a point P due to a charge of 4 xx 10^(-7) Clocated 9 cm away. (b) Hence obtain the work done in bringing a charge of2 xx 10^(-9) Cfrom infinity to the point P. Does the answer depend on the path along which the charge is brought ? |
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Answer» Solution :(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 4xx 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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