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

In summary, the conversation discusses the voltmeter reading for a circuit with a current of 2 A and a voltage of 10 V. While the initial calculation suggests a reading of 8 V, the correct answer is 12 V based on the values for current returning to cell A and B, and current entering the voltmeter. The final calculation involves using Ohm's Law to determine the resistance and ultimately, the voltmeter reading.
  • #1
songoku
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Homework Statement
Please see below
Relevant Equations
V = I.R
1685171477692.png


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
 
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  • #2
I agree with your answer. It obviously cannot be more than 10V.
 
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  • #3
Thank you very much haruspex
 
  • #4
Yes, I agree, 8V is correct.
 
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  • #5
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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  • #6
Welcome to PF, @erpelkon

erpelkon said:
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.
It is okay to offer alternate solutions to old schoolwork threads where the OP has already solved the problem. Please just keep in mind that in active threads, the OP must do the bulk of the work. We cannot offer solutions to them until after they have solved their schoolwork problem. Thanks. :smile:
 
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1. How do you calculate the total resistance of the circuit?

To calculate the total resistance of the circuit, you need to add the individual resistances of the resistors together. In this case, you would add the resistance of resistor 1 to the resistance of resistor 2.

2. How do you calculate the total voltage of the circuit?

To calculate the total voltage of the circuit, you need to add the voltages of the two sources together. Make sure to pay attention to the polarity of each source when adding them together.

3. How do you apply Kirchhoff's voltage law to this circuit?

To apply Kirchhoff's voltage law to this circuit, you need to sum up the voltage drops across each component in a closed loop. The sum of the voltage drops should equal the sum of the voltage sources in that loop.

4. How do you calculate the current flowing through the circuit?

To calculate the current flowing through the circuit, you can use Ohm's Law. Divide the total voltage of the circuit by the total resistance to find the current. This current will be the same throughout the circuit due to the series connection of the resistors.

5. How do you calculate the voltmeter reading in this circuit?

To calculate the voltmeter reading in this circuit, you can use the voltage divider rule. Determine the voltage drop across each resistor using the total current calculated earlier, and then sum these voltage drops to find the voltmeter reading.

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