What is the voltage across a 10-ohm resistor if a current of 1 ampere flows through it?

What is the voltage across a 10-ohm resistor if a current of 1 ampere flows through it?

• A. 10 volts
• B. 5 volts
• C. 15 volts
• D. 20 volts

Answer: (A)

To determine the voltage across a resistor when a current is flowing through it, Ohm's Law is utilized. Ohm's Law states that the voltage (V) across a resistor is equal to the current (I) flowing through the resistor multiplied by the resistance (R) of that resistor. The formula is given as: \[ V = I \times R \] In this scenario, the resistance is 10 ohms and the current is 1 ampere. Plugging those values into the formula: \[ V = 1 \, \text{A} \times 10 \, \Omega = 10 \, \text{V} \] This calculation shows that the voltage across the 10-ohm resistor, when a current of 1 ampere flows through it, is indeed 10 volts. Understanding the relationship established by Ohm's Law is crucial for calculating voltage in electrical circuits, ensuring that one can regulate and analyze current flow effectively.

To determine the voltage across a resistor when a current is flowing through it, Ohm's Law is utilized. Ohm's Law states that the voltage (V) across a resistor is equal to the current (I) flowing through the resistor multiplied by the resistance (R) of that resistor. The formula is given as:

[ V = I \times R ]

In this scenario, the resistance is 10 ohms and the current is 1 ampere. Plugging those values into the formula:

[ V = 1 , \text{A} \times 10 , \Omega = 10 , \text{V} ]

This calculation shows that the voltage across the 10-ohm resistor, when a current of 1 ampere flows through it, is indeed 10 volts. Understanding the relationship established by Ohm's Law is crucial for calculating voltage in electrical circuits, ensuring that one can regulate and analyze current flow effectively.