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The potential of certain points in the circuit are maintained at the values indicated. The voltmeter and ammeter are ideal. Find the potential of the cross junction point in the circuit and the readings of voltmeter and ammeter. All cells are ideal.

The potential of certain points in the circuit are maintained at the values indicated. The voltmeter and ammeter are ideal. Find the potential of the cross junction point in the circuit and the readings of voltmeter and ammeter. All cells are ideal.

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Grade:10

1 Answers

Vikas TU
14149 Points
5 years ago
Let x be the volts at the junction, then applying KCL at the junction we get,
(x+20)/20 + (x + 20)/10 + (x – 16)/10 + (x-0)/20 = 0
(x+ 20 + 2x + 40 + 2x – 32 + x) = 0
6x + 28 = 0
x = -28/6 => -14/3 volts
Hence at junction it is -14/3 volts.
 
The reading of ammeter would be => I = (-14/3 – 0 )/20 => -14/60 = -7/30 A
minus sign indicates that the direction is opposite of what we assumed.

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