Question

what is the potential difference between points A and B in following circuit​

Answer 1

Correct option is

A

3

2

​

volt

From the given figure we ca easily find the resultant resistance of circuit,

⟹  

R  

eq

​

 

1

​

=  

15

1

​

+  

15

1

​

=  

15

2

​

 

R  

eq

​

=  

2

15

​

Ω

Using formula for Ohm's law,

V=IR  

eq

​

 

2=IR  

eq

​

 

⟹I=  

15

4

​

A

So, a current of  

15

4

​

A is passing through circuit.

Using Kirchhoff's law for loop TRBSuT

⟹I  

1

​

(10)+I  

1

​

(5)−2=0

⟹I  

1

​

=  

15

2

​

A

⟹ Current through arm PAQ

⟹I−I  

1

​

=  

15

4

​

−  

15

2

​

=  

15

2

​

A

So, potential at point A is given by  

V  

A

​

=IR=  

15

2

​

×5=  

3

2

​

V

So, potential at point B is given by  

V  

B

​

=IR=  

15

2

​

×10=  

3

4

​

V

So, potential difference, V  

A

​

−V  

B

​

=  

3

4

​

−  

3

2

​

=  

3

2

​

V

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