Parallel Circuit

The potential difference is the same across each resistor
V = V1 = V2

The current passing through each resistor is inversely proportional to the resistance of the resistor. The current in the circuit equals to the sum of the currents passing through the
resistors in its parallel branches.

I = I1 + I2

where I is the total current from the battery

If Ohm’s law is applied separately to each resistor, we get :
I = I1 + I2

V/R = V/R1 + V/R2

If each term in the equation is divided by V, we get the effective resistance

1/R = 1/R1 + 1/R2

Worked example :
The electrical current flowing through each branch, I1 and I2, is 5 A. Both bulbs have the same resistance, which is 2Ω. Calculate the voltage supplied.

solution:
Parallel circuit;V =V1=V2 = IR1 or = IR2 = 5(2) = 10 V