Question

drive an expression for equivalent resistance of a parallel combination of resistance​

Answer 1

Answer:

Explanation:

It is observed that 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  

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.

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Answer 2

Explanation:

Answer. (i) Total potential difference across a combination of resistors in series is equal to the sum of potential difference across the individual resistors. Hence , a fuse of rating 5A can be used because it can bear the current