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In the network shown the potential diffe...

In the network shown the potential difference between A and B is `(R=r_(1)=r_(2)=r_(3)=1Omega,E_(1)=3V,E_(2)=2V,E_(3)=1V)`

A

1 V

B

2 V

C

3 V

D

4 V

Text Solution

Verified by Experts

The correct Answer is:
B

No current through R, so potential difference
across AB is `V=((E_(1))/(r_(1))+(E_(2))/(r_(2))+(E_(3))/(r_(3)))/((1)/(r_(1))+(1)/(r_(2))+(1)/(r_(3)))=(3/1+2/1+1/1)/(1/1+1/1+1/1)=2V`
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