For the circuit shown below, the potential difference between

For the circuit shown below, the potential difference between points P and Q is—

The given circuit:

KCL at node

V_P - V_R	+	V_P - 0	+ 2 = 0
2		8

V_P - 10	+	V_P	+ 2 = 0
2		8

V_P	1	+	1	= 3
	2		8

V_P =	3 × 8	=	24	V
	5		5

KCL at node Q

V_Q - V_R	+	V_Q - 0	= 2
4		6

or	V_Q	=	V_Q	= 2 +	10
	4		6		4

V_Q	1	+	1	=	8 + 10
	4		6		4

V_Q =	18	×	24	=	54
	4		10		5

Now,

V_Q -V_Q	24	-	54	=	-30	= -6V
	5		5		5