Parallel Circuit Fundamentals: Voltage, Resistance, and Current Rules
Voltage
In a parallel circuit, every component is exposed to the same source voltage. This means that the voltage across each branch is equal to the total source voltage:
- Etotal = E1 = E2 = … = En
Resistance
The combined resistance of parallel elements is always lower than any individual resistance. It is calculated with the reciprocal sum formula:
- Rtotal = 1 / ∩ (1/R1 + 1/R2 + … + 1/Rn)
Current
Current divides among parallel branches according to their resistances, but the total current supplied by the source equals the sum of the branch currents:
- Itotal = I1 + I2 + … + In
These relationships are grounded in Ohm’s Law and Kirchhoff’s circuit laws, forming the backbone of reliable electrical design.
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