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Standard X

Physics

Electromagnetic Induction

a parallel pl...

Question

a parallel plate capacitor C1 having charge Q is connected to an identical uncharged capacitor C2 in series what would be the charge accumulated on C2

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Solution

$S i n c e t h e c a p a c i t o r C_{2} i s u n c h a r g e d s o w h e n c o n n e c t e d t o a n i d e n t i c a l c a p a c i t o r C_{1} c h a r g e d t o Q t h e n c h r g e Q i s e q u a l l y s h a r e d a n d c h a r g e a c q u i r e d b y c a p a c i t o r C_{2} i s \frac{Q}{2} .$

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a parallel plate capacitor C1 having charge Q is connected to an identical uncharged capacitor C2 in series what would be the charge accumulated on C2

Since the capacitor C2 is uncharged so when connected to anidentical capacitor C1 charged to Q then chrge Q is equally sharedand charge acquired by capacitor C2 is Q2.

$S i n c e t h e c a p a c i t o r C_{2} i s u n c h a r g e d s o w h e n c o n n e c t e d t o a n i d e n t i c a l c a p a c i t o r C_{1} c h a r g e d t o Q t h e n c h r g e Q i s e q u a l l y s h a r e d a n d c h a r g e a c q u i r e d b y c a p a c i t o r C_{2} i s \frac{Q}{2} .$