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Main >> Applications >> Sample problems

Ohm's law - QuickField simulation example

The example is about the Ohm's law for an electric circuit. Two cases are simulated: direct current and alternating current.

Engineering question

How to calculate the voltage drops across a resistor and inductor and verify against Ohm's law?

Answer
Model the series circuit in DC, AC, and transient magnetic formulations and compare the calculated resistor and inductor voltages with analytical values.

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Typical applications
electrical conductors, DC circuits, basic wiring systems

Ohms law

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Simulation problem

Problem Type
Plane-parallel problem of AC magnetics.

Geometry
Ohm's law The example is about the Ohm's law for an electric circuit. Two cases are simulated: direct current and alternating current. L R I

Given
Resistor R = 20 Ohm;
Inductance L = 0.02 H;
Current I = 1 A;
Frequency f = 0 Hz; 50 Hz.

Task
Find the voltage drops across the circuit elements L, R and compare them with the analytical solutions

Solution
In QuickField, an electrical circuit can be simulated in AC magnetics and in Transient magnetics modules. To simulate a DC current mode we use the transient problem with the time-constant current source.

Analytical solution* for the direct current:
U(R) = I * R = 1 * 10 = 10 V.
U(L) = 0 V.

Analytical solution for the alternating current:
U(R) = I * R = 1 * 10 = 10 V.
U(L) = I * 2 * π * f* L = 1 * 2 * 3.14 * 50 * 0.02 = 6.28 V.

*Wikipedia: Ohm's law.

Result
Voltage drop calculated by QuickField

DC

V(R) = 20 V,    V(L) = 0 V
Ohm's law DC

AC, 50 Hz

V(R) = 20 V,    V(L) = 6.28 V
Ohm's law AC

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