# OHM'S LAW

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The magnitude of current flowing in a circuit is dependent upon both voltage and resistance.
The relationship among these three electrical properties (current, voltage and resistance) is the important and well-known **Ohm's law**, which states that the current flow in a circuit is directly proportional to the applied source voltage and inversely proportional to the resistance of the circuit.

In mathematical form:

or

In the following examples, we generally give three solutions for each problem.

- Numerical solution by TINA
- Solution by TINA's Interpreter, using Ohm's law
- Solution by formulas using Ohm's law

#### Example 1

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Using Ohm's law:

The calculated currents confirm that current is directly proportional to the source voltage.

{Using TINA's Interpreter}

I1:=VS1/R1;

I1=[2.5]

I2:=VS2/R1;

I2=[5]

I3:=VS3/R1;

I3=[10]

#### Example 2

In the following example, you can verify that the current is inversely proportional to the resistance.

Click/tap the circuit above to analyze on-line or click this link to Save under Windows
Using Ohm's law:

{Using TINA's Interpreter}

I1:=VS/R1;

I1=[5m]

I2:=VS/R2;

I2=[10m]

I3:=VS/R3;

I3=[2.5m]

#### Example 3

In this example, you can see that the voltage across a resistor is directly proportional to the value of its resistance.

Click/tap the circuit above to analyze on-line or click this link to Save under Windows
While the detailed formula isn't shown, it is used in TINA's Interpreter to evaluate the example.

{Using TINA's Interpreter}

V1:=IS1*R1;

V1=[10]

V2:=IS1*R2;

V2=[20]

V3:=IS1*R3;

V3=[30]

#### Example 4

In this example, you can check that the voltage across a resistor is directly proportional to the current flowing through the resistor and to the resistor's resistance.

Click/tap the circuit above to analyze on-line or click this link to Save under Windows
While the detailed formula isn't shown, it is used in TINA's Interpreter to evaluate the example.

{Using TINA's Interpreter}

V1:=IS1*R1;

V1=[10]

V2:=IS2*R1;

V2=[20]

V3:=IS3*R1;

V3=[50]