Parallel Circuits

A parallel circuit is an electrical circuit configuration in which the components are connected side by side, sharing the same voltage across them. In a parallel circuit, each component has its own separate branch or path for current flow.

Key Characteristics:

Total Voltage

When resistors are connected in parallel, the voltage across each resistor is the same as the total voltage applied across the circuit.

Formula:

Vtotal = V1 = V2 = V3 = ... = Vn

Total Current

When resistors are connected in parallel, the total current flowing into the circuit is equal to the sum of currents flowing through each individual resistor.

Formula:

Itotal = I1 + I2 + I3 + ... + In

Formula Breakdown:

Where I1, I2, I3, ... In are the currents flowing through each branch.

Total Resistance in a Circuit

Formula:

Total Resistance (Rtotal) = 1 / ((1 / R1) + (1 / R2))

Formula Breakdown:

Voltage Divider

In a parallel circuit, voltage division refers to the distribution of the total voltage across individual branches or resistors connected in parallel. Each branch or resistor receives a proportionate voltage based on its resistance value.

Formula:

V1 = (R1 / (R1 + R2)) * Vtotal

Formula Breakdown:

Result:

Current Division

In a parallel circuit, current division refers to the distribution of the total current among individual branches or resistors connected in parallel. The current splits across the branches based on the inverse ratio of their resistances.

Formula:

I1 = (R2 / (R1 + R2)) * Itotal

Formula Breakdown:

Total Current Calculator

In a parallel circuit, the total current is the sum of the currents flowing through each branch or resistor connected in parallel. The total current is equal to the sum of individual currents.

Formula:

Itotal = Vtotal / (R1 + R2)

Formula Breakdown: