A circuit is set up as shown, supplied by a 3 V battery. All resistances are 1 k2. 3V V What will be the reading on the voltmeter? A 0 B 0.5V 1.0V 1.5V

Choice B is correct because: Voltage at the upper terminal of the connected voltmeter In the upper component of the parallel circuit there are 2 resistors connected in series with the same resistance. This means the potential difference across both resistors is 1.5 V. Voltage at the upper terminal = 3.0 V - 1.5 V = 1.5 V Voltage at the lower terminal of the connected voltmeter In the lower component of the parallel circuit there are 3 resistor units connected in series. Combined Resistance of first unit (2 Resistors in Parallel) = (1/1 + 1/1 )-1 = 0.5 kΩ Combined Resistance of second unit (1 Resistor) = 1 kΩ Combined Resistance of third unit (3 Resistors in series with 1 Resistor in Parallel) = (1/3 + 1/1)-1 = 0.75 kΩ P.d across the first & second unit = [(0.5 + 1)/( 0.5 + 1 + 0.75 )] x 3 = 2.0 V Voltage at the lower terminal = 3.0 V - 2.0 V = 1.0 V Reading on the voltmeter Reading = Voltage at the upper terminal of the connected voltmeter - Voltage at the lower terminal of the connected voltmeter Reading = 1.5 V - 1.0 V = 0.5 V

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Electricity | 2013 - M/J - 9702/11 | Q35