Calculate the Current I3 in the Following Configuration

Find branch current I3 from common circuit relationships. Choose divider, Ohm law, or KCL mode. Review power, tolerance, and exportable steps for clear records.

Current I3 Calculator

Choose the circuit method that matches your known values. Leave unused fields blank.

Formula Used

Ohm law: I3 = V3 / R3

Two branch current divider: I3 = IT × R2 / (R2 + R3)

Three branch current divider: I3 = IT × (1 / R3) / [(1 / R1) + (1 / R2) + (1 / R3)]

KCL node balance: I3 = IT - I1 - I2

Power in branch three: P3 = I3² × R3

How to Use This Calculator

  1. Select the mode that matches the given circuit data.
  2. Enter voltage, total current, branch currents, or resistances.
  3. Select the correct units for each input group.
  4. Choose the I3 reference direction from your diagram.
  5. Add tolerance when resistor or meter uncertainty matters.
  6. Press calculate and review I3, voltage, power, and steps.
  7. Use CSV or PDF download for reports and records.

Example Data Table

Mode Known values Formula Expected I3
Ohm law V3 = 12 V, R3 = 100 Ω I3 = V3 / R3 0.12 A
Two branch divider IT = 0.5 A, R2 = 100 Ω, R3 = 200 Ω I3 = IT × R2 / (R2 + R3) 0.166667 A
Three branch divider IT = 1 A, R1 = 100 Ω, R2 = 200 Ω, R3 = 300 Ω Conductance ratio 0.181818 A
KCL IT = 2 A, I1 = 0.7 A, I2 = 0.9 A I3 = IT - I1 - I2 0.4 A

Understanding Current I3

Current I3 often names the current through a third branch. It may appear in a resistor network, a divider problem, or a node equation. The label is simple. The method depends on the circuit information you have. This calculator lets you choose the method before you solve.

Why I3 Matters

Branch current is used for heat checks, fuse sizing, transistor biasing, and load analysis. A small current error can change power loss. It can also change a safety margin. That is why each result includes power, voltage across the third branch, and a tolerance band.

Main Circuit Ideas

Ohm law is used when voltage across R3 is known. The current is voltage divided by resistance. Current divider rules are used when parallel branch resistances share a known total current. A smaller resistance draws more current. KCL is used at a node. It states that current entering and leaving a node must balance.

Practical Use

The same label I3 may point downward, upward, left, or right. The direction matters. If your assumed arrow is opposite to the real direction, the result becomes negative. This does not mean the calculation failed. It means the actual current flows opposite to your chosen reference arrow.

Advanced Checks

Tolerance is useful when parts are not exact. Real resistors may vary from their marked value. The calculator gives a nominal current and a simple tolerance range. This helps you compare best case and worst case conditions. It is helpful for lab reports and design notes.

Power Review

Power in the third branch is estimated with I squared times R. This value helps you choose a resistor rating. Always select a part with a safe margin above the calculated power. Heat, enclosure size, and airflow can change the final choice.

Better Results

Use consistent units. Enter kilo ohms as kΩ, or convert them to ohms. Use milliamps for small currents when it makes results easier to read. Check your circuit drawing first. Then choose the mode that matches the known data.

Record each input before changing values. Compare the exported table with your handwritten steps. This creates a clear audit trail. It also makes repeated homework, troubleshooting, and field checks easier. during later review.

FAQs

What is current I3?

I3 is usually the current through the third branch, third resistor, or third labeled path in a circuit. Its exact meaning depends on your circuit diagram.

Which mode should I choose?

Use Ohm law when voltage across R3 is known. Use current divider for parallel branches. Use KCL when total current and two branch currents are known.

Why is my I3 value negative?

A negative value means current flows opposite to your selected reference direction. The magnitude is still useful. The sign explains actual direction.

Can I use kilo ohms?

Yes. Select kΩ as the resistance unit. The calculator converts the entered resistance values to ohms before solving the circuit.

What does tolerance range mean?

It shows a simple possible range around nominal I3. Use it when resistor tolerance or measurement uncertainty may affect the final branch current.

Does this replace circuit simulation?

No. It helps solve common resistor and node current cases. Complex circuits with sources, dependent elements, and transients may need simulation.

How is power calculated?

Power is calculated as P3 = I3² × R3 when R3 is available. This helps estimate branch heating and resistor wattage needs.

Can I download the result?

Yes. After calculation, use the CSV button for spreadsheet data. Use the PDF button for a simple printable result summary.

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