Calculate the voltmeter reading for this circuit with 2 sources and 2 resistors

[songoku]

Homework Statement

Please see below

Relevant Equations

V = I.R

I find the current first, which is 2 A. Then the voltmeter reading would be 10 V - 1 x 2 = 8 V.

But the answer is 12 V.
I don't understand why it should be 10 + 1 x 2 = 12 V

Thanks

 

[haruspex]

I agree with your answer. It obviously cannot be more than 10V.

 

[songoku]

Thank you very much haruspex

 

[DaveE]

Yes, I agree, 8V is correct.

 

[erpelkon]

Current returning to cell A = x
Current returning to cell B = y
Current entering the voltmeter = z

10- 1*x=0
4- 2*y = 0
z = y + x

X=10
Y=2
Z=12

U=RI

1/R=1/1+1/2
1/R=1,5
R=2/3

U = (2/3)*12 = 8

The reading is 8 Volts.

 

[berkeman]

Welcome to PF, @erpelkon

Current returning to cell A = x
Current returning to cell B = y
Current entering the voltmeter = z

10- 1*x=0
4- 2*y = 0
z = y + x

X=10
Y=2
Z=12

U=RI

1/R=1/1+1/2
1/R=1,5
R=2/3

U = (2/3)*12 = 8

The reading is 8 Volts.

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