Physics, asked by dhruvingabani007, 10 months ago

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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Answered by Shhounakchatterjee
2

Answer:

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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>

.

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