Question

Deduce the expression for the equivalent resistance of the parallel combination of two resistances R1 and R2.

Answer 1

Answer:

Explanation:

for a parallel combination voltage v remains the same.

but current i is different, from ohms law I=V/R .

therefore current through R1, i1=v/R1

current through R2,i2=v/R2

total current i=i1+i2

                   v/r=v/R1+v/R2

cancelling common term 1/R=1/R1+1/R2

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

where R is the equivalent resistance

Answer 2

Answer:

Hello!!!

Here's your answer

Deduce the expression for the equivalent resistance of the parallel combination of three resistors R1, R2 and R3 Consider the following electric circuit:

(a) Which two resistors are connected in series

(b) Which two resistors are connected in parallel

(c) If every resistor of the circuit is of 2 Ω, what current will flow in the circuit