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Question
Two resistors of resistance 2 Ω and 3 Ω are connected in parallel to a cell to draw current 0.5 A from the cell. Calculate the current in each resistor.
Solution
If i is the current through 2 Ω resistance, then (0.5 - i) is the current through 3 Ω resistance.
∴ i × 2 = (0.5 - i) × 3 ∵ p.d. is same
2i = 1.5 - 3i
2i + 3i = 1.5
5i = 1.5
i = 0.3 A
∴ current through 2 Ω resistance = 0.3 A and
current through 3 Ω resistance = 0.5 – 0.3 = 0.2 A
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