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Question
A 4 Ω coil and a 2 Ω coil are connected in parallel. What is their combined resistance? A total current of 3 A passes through the coils. What current passes through the 2 Ω coil?
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Solution
The coils of the resistors of 4 Ω and 2 Ω are connected in parallel. Therefore:
`1/R=1/R_1+1/R_2`
`1/R=1/4+1/2`
`1/R=3/4`
`R=4/3`Ω
Combined resistance of the 4 Ω coil and the 2 Ω coil = 1.33 Ω
Total current = 3 A
The voltage across the whole cicuit,as in case of parallel circuit volatge is same scross all resistances.
V = IR.
V = 3 x 4/3 = 4 V
Therefore, the current through the 2 Ω coil,
I = V/R1.
I = 4/2 A
I = 2 A
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