1.

(a) Calculate the potential at a point P due to a charge of `4xx10^(-7) C` located 9 cm away. (b) Hence obtain the work done in bringing a charge of `2xx10^(-9) C` from infinity to the point P. Does the answer depend on the path along which the charge is brought ?

Answer» (a) Here, `q = 4xx10^(-7) C`,
`r = 9 cm = 9xx10^(-2)m , V = ?`
`V = (q)/(4pi in_(0) r) = 9xx10^(9) ((4xx10^(-7)))/(9xx10^(-2))`
`= 4xx10^(4)` volt
(b) `W = q xx v = (2xx10^(-9))xx4xx10^(4)`
`= 8xx10^(-5) J`
The answer does not depend upon the path along which the charge is brought because electrostatic forces are conservative forces.


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