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NEET Class neet Answered

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Asked by rahmansufia395 | 29 Jun, 2021, 08:42: AM
answered-by-expert Expert Answer
Let us assume the charge on each capacitor as shown in figure .
 
Potential difference between P and Q is given as
 
begin mathsize 14px style q subscript 2 over C space plus space q subscript 3 over C space plus space q subscript 4 over C space equals space V subscript o end style
Hence we get ,  q2 + q3 + q4 = C Vo ................................. (1)
 
Similarly , considering same potential difference between Q and R is applied to capacitors , we get ,
 
q3 + q4 = q5  ............................ (2)
 
From (1) and (2) , we have , q2 + q5 = C Vo  ...............................(3)
 
By charge conservation , at node point Q , we have
 
q2 = q3 + q5  ..........................(4)
 
Above expression is written as , q2 - q5 = q3  ............................(5)
 
By solving equations (3) and (5) , we get ,
 
q2 = (1/2) [ q3 + C Vo ] ............................... (6)
 
q5 = (1/2) [ C Vo - q3 ] ................................(7)
 
At node point '2' , by charge conservation ,  q3 = q4  ......................(8)
 
From eqn.(2) and eqn.(8) ,  we get q5 = 2 q3 .................(9)
 
From eqn.(7) and (9) , we get , q3 = (1/5) C V......................(10)
 
Potential difference between points '1' and '2'  = ( q3 / C ) = (1/5) Vo
Answered by Thiyagarajan K | 29 Jun, 2021, 01:05: PM
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