Question

Write the expression for net resistance of two resistors when they are connected in

(a) Series (b) Parallel​

Answer 1

Unlike the previous series resistor circuit, in a parallel resistor network the circuit current can take more than one path as there are multiple paths for the current. Then parallel circuits are classed as current dividers.

Since there are multiple paths for the supply current to flow through, the current may not be the same through all the branches in the parallel network. However, the voltage drop across all of the resistors in a parallel resistive network IS the same. Then, Resistors in Parallel have a Common Voltage across them and this is true for all parallel connected elements.

Answer 2

Answer:

RESISTORS IN SERIES ::

Let R1, R2 be two resistors connected in series

Let R be the net Resistance

Then

R = R1 + R2

RESISTORS IN PARALLEL ::

Let R1, R2 be two resistors connected in parallel

Let R be the net Resistance

Then

(1/R) =(1/R1) + (1/R2)

SO

R = R1 × R2 / ( R1 + R2)