Electricity & Magnetism
Resistors in Parallel
Total resistance of resistors in parallel.
Variables
R_eqΩ
Equivalent resistance
Total resistance
R₁Ω
Resistance 1
First resistor
R₂Ω
Resistance 2
Second resistor
Derivation
Same voltage: I = I₁ + I₂ = V/R₁ + V/R₂.
Your notes
0/5000
Common questions
What is the Resistors in Parallel formula?
Resistors in Parallel is written frac{1}{Rₑq} = 1/R₁ + 1/R₂ + .... Total resistance of resistors in parallel. It belongs to Electricity & Magnetism, under Electric Circuits.
What are the units in frac{1}{Rₑq} = 1/R₁ + 1/R₂ + ...?
In SI units, R_eq is equivalent resistance, measured in kg·m²/(A²·s³); R₁ is resistance 1, measured in kg·m²/(A²·s³); R₂ is resistance 2, measured in kg·m²/(A²·s³).
How is the Resistors in Parallel formula derived?
Same voltage: I = I₁ + I₂ = V/R₁ + V/R₂. The result is frac{1}{Rₑq} = 1/R₁ + 1/R₂ + ....