Draw a schematic diagram of a circuit consisting of a battery of 3 cells of
2 V each, a combination of three resistors of 10 ohm , 20 ohm and 30 ohm ?
connected in parallel, a plug key and an ammeter, all connected in series
Use this circuit to find the value of the following:
(a)
Current through each resistor
(b)
Total current in the circuit
(c)
Total effective resistance of the circuit.
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Explanation:
Total Voltage across the resistors is = 2+2+2 = 6V
Solution a:
Current through 10 ohm resistor = V / R = 6 / 10 = 0.6 Amp
Current through 10 ohm resistor = V / R = 6 / 20 = 0.3 Amp
Current through 10 ohm resistor = V / R = 6 / 30 = 0.2 Amp
Solution b:
Total current will be the sum of all three currents = 0.6 +0.2 + 0.3 = 1.1 Amp
Solution c:
Total resistance
1 / R = 1 / 10 + 1/ 20 + 1/ 30
1 / R = 0.1 + 0.05 + 0.033
1 / R = 0.18333
R = 1/ 0.1833
Rnet = 5.45 ohms
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