Question

Inductors in parallel can be combined just like resistors in parallel. (a) True (b) False

Solution

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For two resistors connected in parallel the equivalent resistance is given by,

Req=R1R2R1+R2R_{eq} = \dfrac{R_1 R_2}{R_1+R_2}

For two inductors connected in parallel the equivalent inductance is given by,

Leq=L1L2L1+L2L_{eq} = \dfrac{L_1 L_2}{L_1+L_2}

  \therefore \; The way to combine parallel inductors is the same as the way to combine parallel resistors.

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