Enter the voltage, cross-sectional area, resistivity, and conductor length into the calculator to determine the electric current through a uniform conductor.

Current Through a Conductor Calculator

Enter any 4 values to calculate the missing variable

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Current Through a Conductor Formula

The following formula is used to calculate the electric current through a uniform conductor (assuming ohmic behavior and constant resistivity).

I = \frac{V \cdot A}{\rho \cdot L}

Variables:

  • I is the electric current (A)
  • V is the voltage across the conductor (V)
  • A is the cross-sectional area of the conductor (mยฒ)
  • ฯ is the resistivity of the material (ฮฉยทm)
  • L is the conductor length (m)

To calculate the current, multiply the voltage across the conductor by the cross-sectional area. Then, divide this result by the product of the material resistivity and the conductor length. This gives the current for the specified voltage drop and geometry; it does not, by itself, determine safe โ€œampacityโ€ (current-carrying capacity), which depends on allowable temperature rise and cooling conditions.

What is Electric Current?

Electric current is the rate of flow of electric charge. It is typically measured in amperes (A). For an ohmic, uniform conductor, the current depends on the applied voltage, the conductor length and cross-sectional area, and the material resistivity.

How to Calculate Current Through a Conductor?

The following steps outline how to calculate the current using the given formula:

  1. First, determine the voltage across the conductor (V) in volts (V).
  2. Next, determine the cross-sectional area of the conductor (A) in mยฒ.
  3. Next, determine the resistivity of the material (ฯ) in ฮฉยทm.
  4. Next, determine the conductor length (L) in meters (m).
  5. Finally, calculate the current (I) using the formula I = (V ยท A) / (ฯ ยท L).
  6. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge:

voltage across the conductor (V) = 5 V

cross-sectional area of the conductor (A) = 0.000001 mยฒ

resistivity of the material (ฯ) = 0.0000000168 ฮฉยทm

conductor length (L) = 100 m