For the circuit shown in the figure, both meters are idealized, the battery has no appreciable internal resistance, and the ammeter reads 1.45 A.
a) What does the voltmeter read?
b) What is the emf ε of the battery?
if the effective resistance across A and B is R, then
1/R = 1/25 + 1/15 + 1/(15+10) = 11/75
R = 75/11 ohms
Since, the ammeter reads 1.45 A, the potential difference between A and B is V= current x resistance = 1.45 x 25 = 36.25 volts
total current in the circuit I = V/R = 36.25 / (75/11) = 319/ 60 A
since this is the total current in the circuit, the same current will pass through the 45 ohm resistor.
So, potential difference across the 45 volts resistor = current x resistance = (319/60) x 45 = 957/4 volts
= 239.25 volts this will be the reading of the voltmeter.
b.) E = current x total resistance
E = (319/60) x ( 35 + 45 + R ) = 5.316666667 x ( 35 + 45 + 75/11 ) = 461.583333 volts
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