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A small sphere of radius r(1) and charge...

A small sphere of radius `r_(1)` and charge `q_(1)` is enclosed by a spherical shell of radius `r_(2)` and charge `q_(2)`. Show that if `q_(1)` is positive, charge will necessarily flow from the sphere to the shell (when the two are connected by a wire) no matter what the charge `q_(2)` on the shell is [Fig]

Text Solution

Verified by Experts

The correct Answer is:
B
`V_A=(k_(q_1))/r_1+(K_(q_2))/r_2,V_B=(K_(q_1))/r_2+(k_(q_2))/r_3`, Clearly `V_A gt V_B`. Hence charge must flow from higher potential sphere to lower potential sphere.
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