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Derive the expression for equivalent resistance inseries combinalion. |
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Answer» Answer: It is observed that the total current I, is equal to the sum of the separate currents through each branch of the combination. Let Rp be the equivalent resistance of the parallel combination of resistors. By applying Ohm's law to the parallel combination of resistors, we have I = V/Rp On applying Ohm's law to each RESISTOR, we have I1 = V/R1 ; I2 = V/R2; and I3 + V/R3 From EQNS. we have V/Rp = V/R1 + V/R2 + V/R3 or 1/Rp = 1/R1 + 1/R2 + 1/R3 Thus, we may conclude that the RECIPROCAL of the equivalent resistance of a group of resistances joined in parallel is equal to the sum of the reciprocals of the individuals resistances. Explanation: |
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