Question

3) Define parallel connection of resistance and derive the resistance equation for equivalent resistance.​

Answer 1

Answer:

Equivalent resistance is a different way of indicating 'total' resistance, which we calculate differently for series and parallel circuits. Lets resistance R1,R2, are connected in parallel resistance circuit. Then the equivalent resistance of the circuit is given by. Req1=R11+R21. Answered By.

Answer 2

In series combination, resister are connected end to end and current has a single path through the circuit but the potential difference varies across each resistor. Thus we can write as,

V = V1 + V2 + V3

according to Ohm's law V = IR So,

V1 = I R1, V2 = I R2, V3 = I R3

V = I R1 + I R2 + I R3

V = I(R1+R2+R3)

V =IRe

All the individual resistances become equal to the equivalent resistance.

or Re = R1 + R2 + R3......Rn

In parallel combination, each resistor'sone is connected to the positive terminal while the other end is connected to a negative terminal. The potential difference across each resistance is the same and the current passing through them is different.

V = V1 =V2=V3

I = I1+ I2+I3

Current throught each resistor will be:

I1= V/R1 , I2 = V/R2 = I3 = V/R3

I = V (1/R1+ 1/R2+1/R3)

In case of equivalent resistance I=V/Re

V/Re = V (1/R1+ 1/R2+1/R3)

So the equivalnet resistance is the sum of all resistances

1/Re = 1/R1+ 1/R2+1/R3