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Question: A battery of e.m.f. 10 V is connected to resistance as shown in figure. The potential difference \(V...

A battery of e.m.f. 10 V is connected to resistance as shown in figure. The potential difference VAVBV _ { A } - V _ { B } between the points A and B is

A

B

C

D

Answer

Explanation

Solution

Req=5ΩR _ { e q } = 5 \Omega, Current and current in each branch = 1A

Potential difference between C and A,

.......(i)

Potential difference between C and B,

......(ii)

On solving (i) and (ii) VAVB=2V _ { A } - V _ { B } = 2 volt

Shot Trick : (VAVB)=i2(R2R1)=22(31)=2V\left( V _ { A } - V _ { B } \right) = \frac { i } { 2 } \left( R _ { 2 } - R _ { 1 } \right) = \frac { 2 } { 2 } ( 3 - 1 ) = 2 V