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Two identcal capacitors are connected in parallel across a potential v .after they are fully charged the positive plate of first capacitor is connected with the negative plate of 2nd capacitor and negative plate of 1st capacitor connected with the other positive capacitor .find energy loss in this process
Asked by ashutosharnold1998 | 16 Sep, 2019, 14:08: PM
answered-by-expert Expert Answer
 
C h a r g e space o n space p o s i t i v e space p l a t e space o f space f i r s t space c a p a c i t o r space C V
C h a r g e space o n space p o s i t i v e space p l a t e space o f space s e c o n d space c a p a c i t o r space C V
e n e r g y space s t o r e d space i n space c a p a c i t o r equals 1 half C V squared plus 1 half C V squared equals C V squared
W h e n space t h e space p l a t e s space a r e space c o n n e c t e d space w i t h space r e v e r s e space p o l a r i t y space
T h e space t o t a l space c h a r g e space w o u l d space b e space g i v e n space b y
Q equals C V plus left parenthesis negative C V right parenthesis equals 0
F i n a l space c o m m o n space p o t e n t i a l space
V subscript f equals fraction numerator Q subscript 1 plus Q subscript 2 over denominator C subscript 1 plus C subscript 2 end fraction
V subscript f equals fraction numerator C V plus left parenthesis negative C V right parenthesis over denominator C plus C end fraction equals 0
L o s s space i n space e n e r g y equals C V squared minus fraction numerator open parentheses C plus C close parentheses left parenthesis 0 right parenthesis squared over denominator 2 end fraction

L o s s space i n space e n e r g y equals C V squared
Answered by Utkarsh Lokhande | 16 Sep, 2019, 18:39: PM
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