๐ If youโve ever looked inside an electronic device or learned about electricity in school, youโve probably heard of parallel circuits. But how do you calculate current in one?
Donโt worryโthis guide will walk you through it step by step. No confusing jargon, just simple explanations!
Table of Contents
โก What Is a Parallel Circuit?
In a parallel circuit, electrical components are connected side by side, and each path has its own direct connection to the power source.
Think of it like:
- Multiple lanes on a highway: cars (current) can travel on different paths at the same time.
- Each bulb or resistor has its own road from the battery.
๐ Key Fact: In a parallel circuit, the voltage across each branch is the same.
๐ What Is Electric Current?
Current (I) is the flow of electric charge, measured in amperes (A).
In a parallel circuit:
- The total current (Itotal) from the power source is split between the branches.
- Each branch has its own current, depending on the resistance.
๐งฎ Step-by-Step: How to Calculate Current in a Parallel Circuit
Letโs say we have a battery and three resistors in parallel:
- Voltage (V) = 12 volts
- Resistor 1 (Rโ) = 6 ohms
- Resistor 2 (Rโ) = 4 ohms
- Resistor 3 (Rโ) = 12 ohms
Step 1: Use Ohmโs Law for Each Branch
Ohmโs Law is:
I = V / R
Calculate current for each branch:
- Iโ = 12 / 6 = 2 A
- Iโ = 12 / 4 = 3 A
- Iโ = 12 / 12 = 1 A
Step 2: Add All the Currents Together
Itotal = Iโ + Iโ + Iโ
Itotal = 2 + 3 + 1 = 6 A
๐ The total current from the battery is 6 amperes.
โ๏ธ Parallel Current Calculator
Enter
- any number of resistor values separated by commas
- voltage across the resistors
The tool will provide the total current across the resistors
๐ Total Current with Parallel Resistance Formula
Rtotal = (1/R1 + 1/R2 + 1/R3 +…. + 1/Rn)-1
Itotal = V/Rtotal
โ๏ธ Example Calculation
Consider four resistors in parallel: 1 ฮฉ, 2 ฮฉ, 3 ฮฉ, 4 ฮฉ and 5 ฮฉ. The total effective resistance is 0.44 ฮฉ.
For a voltage value of 5V, the total current is 5/0.44 = 11.42 A
๐ Quick Recap
Branch | Resistance (R) | Voltage (V) | Current (I = V/R) |
---|---|---|---|
1 | 6 ohms | 12 V | 2 A |
2 | 4 ohms | 12 V | 3 A |
3 | 12 ohms | 12 V | 1 A |
Total: 6 A |
โ Tips to Remember
- In a parallel circuit, voltage is the same across all branches
- Current splits across the branches
- Use Ohmโs Law for each branch separately
- Add all the individual currents to get the total current