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Question
2Ω resistor A, 1Ω resistor B and 4Ω resistor C are connected in parallel. The combination is connected across a 2V battery of negligible resistance. Draw the diagram of the arrangement and calculate:
(i) The current in each resistor A and C,
(ii) The current through battery.
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Solution
The diagram of the arrangement is shown in given figure.
(i) The current in resistor A is I1 = `"V"/"R"_1 = 2/2 = 1.0`A
The current in resistor B is I2 = `"V"/"R"_2 = 2/1 = 2.0`A
The current in resistor B is I3 = `"V"/"R"_3 = 2/4 = 0.5`A
(ii) The current through battery
I = I1 + I2 + I3
I = 1.0 + 2.0 + 0.5
= 3.5 Ampere.
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