# Ohm’s law equation

The Ohm’s law equation, V = I × R, mathematically expresses the relationship between voltage (V), current (I), and resistance (R). This equation demonstrates that the voltage across a conductor is directly proportional to the product of the current flowing through it and the resistance it possesses.

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## Practice problems

### Problem #1

Calculate the current flowing through an electronic device with a resistance of 4 Ω and a voltage of 8 V.

Solution

Given data:

• Current, I = ?
• Resistance, R = 4 Ω
• Voltage, V = 8 V

Applying the formula:

• V = I × R
• 8 = I × 4
• I = 2 A

Therefore, the current flowing through an electronic device is 2 A.

### Problem #2

A 5 A current is flowing through a 15 Ω resistor. Determine the voltage across the resistor.

Solution

Given data:

• Current, I = 5 A
• Resistance, R = 15 Ω
• Voltage, V = ?

Applying the formula:

• V = I × R
• V = 5 × 15
• V = 75 V

Therefore, the voltage across a resistor is 75 V.

### Problem #3

An electric circuit has a voltage of 5 V and a current of 10 A. Calculate the resistance of an electric circuit.

Solution

Given data:

• Voltage, V = 5 V
• Current, I = 10 A
• Resistance, R = ?

Applying the formula:

• V = I × R
• 5 = 10 × R
• R = 0.5 Ω

Therefore, the resistance of an electric circuit is 0.5 Ω.

### Problem #4

What is the electric current flowing through a 12 Ω resistor with a voltage of 60 V?

Solution

Given data:

• Current, I = ?
• Resistance, R = 12 Ω
• Voltage, V = 60 V

Applying the formula:

• V = I × R
• 60 = I × 12
• I = 5 A

Therefore, the electric current flowing through a resistor is 5 A.