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CBSE Class 12-science Answered

Find the potential difference between points a and b 
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Asked by prakriti12oct | 21 Jul, 2019, 12:07: AM
answered-by-expert Expert Answer
 
Let the current divide at point-C as i1 and i2 . 
Due to similar branching at D, currents will combine at D as i2 and i1 as shown in figure.
If R Ω is the resistance connected between A and B, current passing through central ressitor from A to B is (i1 - i2)
 
Let us apply Kirchoff's voltage law to the loop C-A-B-C :- 
 
-2 i1 - (i1 - i2 ) R + 3 i2  = 0    or  ( i1 / i2 ) = (R+3)/(R+2)  .............(1)
 
By property of ratio and proportion, we write eqn.(1) as,    ( i1 - i2 ) / ( i1 + i2 ) = 1/(2R+5)  ..................(2)
 
since we have, ( i1 + i2 ) = 2 A ,  from eqn.(2), we get,   ( i1 - i2 ) = 2 / (2R+5) ....................(3)
 
hence potential drop between A and B is,   ( i1 - i2 )×R = [ 2R / (2R+5) ] V
Answered by Thiyagarajan K | 21 Jul, 2019, 02:38: PM

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