An insulated conductor initially free from charge is charged by repeated contacts with a plate which after each contact is replenished to a charge Q from an electrophorus. If q is the charge on the conductor after the first operation, The maximum charge which can be given to the conductor in this way is:
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Question From class 12 Chapter CAPACITOR AND CAPACITANCE
An isolated coductor, initially free from charge, is charge by repeated conacts with a plate, which afrer each contact has a charge Q due to some mechanism.If q is the charge on the conductor after the first operation, prove that the maximum charge that can be give to the conductor in this way is
.
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Text Solution
Solution :
At each contact, the potential both becomes same. At the first contact, charges on the conductor and the plate are
and
, respectively. So <br>
or
(i) <br> In the second contact, the charge transferred to the plate is
. Then <br>
or
<br> or
<br> or
<br> or
<br>
<br> The total charge transferred in a large number of contacts is <br>
<br>
.