Work, Power and EnergyHard
Question
A solid non-conducting hemisphere of radius R has a uniformly distributed positive charge of volume density Ï. A negatively charged particle having charge q is transferred from centre of its base to infinity. Work performed in the process is :
Options
A.
B.
C.
D.
Solution
To calculate initial potential energy of the particle, first a thin hemispherical shell of radius x and radial thickness dx is considered
Volume of material of the shell = 2Ï€22dx
charge on shell is dQ = Ï(2Ï€x2dx)
Potential energy of the particle, due to charge of the shell considered is
dU =
⇒ U =
Finally potential energy is zero.
Thus, work done = áƒU =
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