CBSE Class 12-science Answered
Find the potential difference between points a and b
Asked by prakriti12oct | 21 Jul, 2019, 12:07: AM
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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