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17 Mar 2010 10:46:21 IST
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a certain charge is divided into Q and Q-q...what should be Q in terms of q so as to maximize repuls
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a certain charge is divided into Q and Q-q...what should be Q in terms of q so as to maximize repulsion between two charges?????


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Dasvidaniya's Avatar

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Joined: 9 May 2009
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17 Mar 2010 10:57:28 IST
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F = K Q .(Q- q) / r^2

 

 dF/dq =  K.  d/dq (  Qq -q^2)  =0

 

q =Q /2  ,

 

 and  d^2 F/  dq^2 is negative

 

so force will be maximum at  q = Q / 2


Hot goIITian

Joined: 9 Mar 2010
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17 Mar 2010 14:22:11 IST
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thanks..
edison's Avatar

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Joined: 19 Oct 2006
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22 Jun 2011 20:17:38 IST
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Force of repulsion between the given two charges is :

 

 

F = K Q .(Q- q) / r2

 

For Force 'F' to be maximum,

 

dF/dQ = 0

 

or   K (Q - q) / r2  + k Q / r2=0

 

or (Q - q) + Q = 0

 

or Q = q / 2

 

q =Q /2 

 




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