Q. 294.0( 4 Votes )

Draw the parallel

Answer :

First, we will look at the circuit diagram of the resistors in parallel combination and as we know that resistors in parallel have the same amount of potential difference across them but the amount of current passing through each resistor is different.

parallel


The total current I, is equal to the sum of the


separate currents through each branch of the combination.


I = I1 + I2 + I3


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



On applying Ohm’s law to each resistor, we have



we have



or



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 individual resistances.


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