Current I5 Circuit Calculator

Enter circuit values and solve I5. Check Ohm law and nodal steps. Use clear inputs. Export tidy results for lab reports and homework today.

Calculator

Use signed volts.
Leave blank when absent.
Leave blank when absent.
Leave blank when absent.
Positive value injects current into the node.
Enter percent from 0 to 50.

Example Data Table

Vs Rs R2 R3 R4 R5 Injected current Expected I5
12 V 100 ohm 220 ohm 330 ohm 470 ohm 680 ohm 0 A 8.3343 mA
24 V 150 ohm 330 ohm 470 ohm 680 ohm 1000 ohm 0 A 10.1506 mA
5 V 50 ohm 100 ohm 220 ohm Blank 330 ohm 2 mA 6.5185 mA

Formula Used

This calculator models a one-node circuit. A voltage source reaches the measured node through Rs. Branch resistors connect from the node to return.

Branch conductance: G = 1 / R

Total load conductance: Gload = 1/R2 + 1/R3 + 1/R4 + 1/R5

Node equation: Vn = (Vs/Rs + Iinj) / (1/Rs + Gload)

Current through R5: I5 = Vn / R5

Power in R5: P5 = I5² × R5

How to Use This Calculator

  1. Enter the source voltage in volts.
  2. Enter the source or Thevenin resistance.
  3. Enter R2, R3, R4, and R5 values.
  4. Leave optional branch resistors blank when absent.
  5. Add injected current if a current source feeds the node.
  6. Select the reference direction for I5.
  7. Press Calculate to show results above the form.
  8. Use CSV or PDF buttons to save the result.

Understanding Current I5

Current I5 is the current through the fifth branch of a circuit. Many homework diagrams label one resistor or branch as R5. The target current may flow downward, upward, left, or right. This calculator uses a clear reference direction. A positive answer follows the selected reference. A negative answer means the real current flows opposite to it.

Why This Method Helps

Complex resistor networks can look confusing. A node method removes that confusion. The circuit is reduced to one important node. The supply reaches that node through a source resistance. Branch resistors connect the node to the return line. The fifth resistor is treated as the measured branch. The tool solves the node voltage first. It then applies Ohm law to R5.

Advanced Electrical Checks

The calculator accepts optional current injection. This is useful when a current source feeds the node. It also lets you choose resistor units. You can enter ohms, kilo ohms, or mega ohms. The result is shown in amperes, milliamperes, or microamperes. Power in R5 is also calculated. Total conductance and equivalent load resistance are shown. These checks make the result easier to audit.

Example Workflow

Start with the source voltage. Add the series or Thevenin resistance. Then enter all shunt branch resistors. Leave unused branches blank. The calculator ignores blank optional branches. Enter R5 with care, because it defines the measured path. Choose the output unit before export. Press calculate to view the result above the form.

Practical Use

Use this page for laboratory notes, circuit practice, and design checks. Enter only positive resistor values. Use signed voltage values when the source polarity changes. Keep the same reference direction for every trial. Compare the answer with a simulation when the real circuit has more nodes. For a larger network, reduce the surrounding circuit to its Thevenin source first. Then enter that source voltage and resistance here. The CSV export is useful for worksheets. The PDF export gives a clean result record.

Accuracy Notes

Real resistors have tolerance. Leads also add resistance. Meters load sensitive nodes. Breadboard contacts can shift low current results. For critical work, measure actual component values. Then rerun the calculation with measured data. This improves agreement with bench readings.

FAQs

What is I5?

I5 is the current through the fifth branch or resistor. This page treats R5 as the measured branch and solves its current from the calculated node voltage.

What circuit type does this calculator solve?

It solves a single measured node fed by a voltage source through Rs. R2, R3, R4, and R5 are shunt branches connected to return.

Can I leave R2, R3, or R4 blank?

Yes. Blank optional branch values are ignored. R5 is required because it is the branch used to calculate current I5.

Why can I5 be negative?

A negative value means the actual current flows opposite to your selected reference direction. Change the direction option to view the alternate sign convention.

What does injected current mean?

Injected current represents a current source feeding the measured node. Use a positive value when current enters the node, and a negative value when it leaves.

Does this replace a circuit simulator?

No. It is a focused nodal calculator. Use a simulator for multi-node circuits, dependent sources, capacitors, inductors, and time-changing signals.

How is power in R5 calculated?

The calculator uses P5 = I5² × R5. It reports power in watts, using the current through R5 after unit conversion.

What does the tolerance range show?

It estimates low and high I5 values when each resistor varies by the selected tolerance. It is a practical worst-case check.

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