Parallel total
5kΩ
5000 Ω
Combined tolerance ±5% (±250 Ω)
Developer Tools
Calculate the total resistance of resistors in parallel or series. Adds per-resistor power, voltage drop, branch current, and a worst-case tolerance band.
Network mode
Pick how the resistors are connected
Parallel: all resistors share the same two nodes. Series: each resistor connects end to end into a single chain.
Resistor list
Add up to 20 resistors
2 resistors in calculation
Quick presets
Load a worked example
One click replaces the current resistor list. Useful for sanity checking the math against known textbook answers.
Optional source (for power and current)
Apply a voltage or current to the network
Skip this if you only need the total resistance. When set, the tool reports per-resistor voltage drop, branch current, and power dissipation.
Parallel total
5kΩ
5000 Ω
Combined tolerance ±5% (±250 Ω)
Formula
R = 1 / (1/R1 + 1/R2 + ...)
1 / (1/1.000e+4 + 1/1.000e+4)
Total in every unit
Reference
Formulas at a glance
Series
Resistors share the same current. The voltage across each resistor adds up to the source voltage.
R_total = R1 + R2 + R3 + ...
V_i = I × R_i
P_i = I² × R_i
Parallel
Resistors share the same voltage. The currents through each branch add up to the total current.
1/R_total = 1/R1 + 1/R2 + 1/R3 + ...
I_i = V / R_i
P_i = V² / R_i
Two-resistor parallel shortcut
For exactly two resistors in parallel, the product-over-sum form avoids a reciprocal sum.
R_total = (R1 × R2) / (R1 + R2)
Equal resistors in parallel
N equal resistors in parallel give a total that is the value divided by N. Tolerances stay the same percent.
R_total = R / N
Notes
What this calculator assumes
Resistor Parallel / Series Calculator computes the total resistance of any number of resistors connected in parallel or in series, the current flowing through each branch when a voltage or current source is applied, the voltage drop across each resistor, and the power each resistor dissipates so you can match the wattage rating you actually need. Series mode adds every resistor end to end so the total is the sum and every resistor shares the same current; parallel mode connects every resistor across the same two nodes so each branch sees the same voltage and the total is the reciprocal of the sum of conductances. Each row accepts a value in milliohms, ohms, kilohms, or megaohms, an optional tolerance percentage (1%, 5%, 10%, or any value you read off a color band), and a remove button when you want to thin out the network. Up to twenty resistors can be added at once, which is enough for most real circuits including pull-up networks, ladder dividers, current-sense banks, snubbers, and matched audio attenuators. The output panel reports the total in the most natural unit (a 5kΩ total is shown as 5 kΩ, not 5000 Ω), a precise exact value in ohms for reference, the formula being evaluated so you can verify the math, the total in every unit at once for cross-checking with other tools, and a combined tolerance band that uses additive deltas in series and a conductance-weighted first-order worst case in parallel. When a voltage or current source is configured, a per-resistor table appears with the voltage across each resistor, the current through it, and the power it dissipates, plus the total current and total power for the network as a whole. Quick presets cover the most common worked examples in electronics textbooks and real circuits (two 10kΩ in parallel, the classic 1kΩ + 2kΩ voltage divider, a 330Ω LED limiter, three 1kΩ in parallel, a 10k + 4.7k + 2.2k stack, and an asymmetric 100Ω + 1kΩ parallel pair) so you can sanity check the tool against textbook answers. A reference panel shows the formulas at a glance, including the product-over-sum shortcut for exactly two resistors in parallel and the divide-by-N shortcut for equal resistors in parallel. Useful for electronics hobbyists building one-off circuits on a breadboard, EE students working through homework problems, makers picking through a parts drawer to hit a target resistance, embedded engineers sizing pull-ups and current-limit resistors, audio enthusiasts tuning attenuators, and anyone wiring up an LED, a sensor divider, or a power rail and asking what total resistance these resistors give. Everything runs locally in your browser. Resistor values, voltages, and currents never leave your device.
Free to use. Works in your browser. No signup, no login.
Related tools
Compute volts, amps, ohms, and watts from any two known values with auto-scaled units.
Open tool
DeveloperVisual decoder and builder for 3, 4, 5, and 6 band resistor color codes.
Open tool
CalculatorCost per hour, day, week, month, and year for any appliance you enter.
Open tool
DeveloperBit-by-bit AND, OR, XOR, NOT, shift, and rotate over two operands at any width.
Open tool