What voltage will produce 0.25 A of current through a 5400-Ω resistor?

Verified step by step guidance

1. Identify the relationship between voltage, current, and resistance using Ohm's Law: \( V = I \cdot R \), where \( V \) is the voltage, \( I \) is the current, and \( R \) is the resistance.
2. Substitute the given values into the formula: \( I = 0.25 \; \text{A} \) and \( R = 5400 \; \Omega \). The equation becomes \( V = 0.25 \cdot 5400 \).
3. Perform the multiplication to calculate the voltage. This step involves multiplying the current (in amperes) by the resistance (in ohms).
4. Ensure the units are consistent: amperes for current, ohms for resistance, and volts for voltage. The result will be in volts.
5. The calculated voltage represents the potential difference required to produce the given current through the resistor.

Key Concepts

Ohm's Law

Ohm's Law is a fundamental principle in electronics that relates voltage (V), current (I), and resistance (R) in a circuit. It states that V = I × R, meaning the voltage across a resistor is equal to the product of the current flowing through it and the resistance. This law is essential for calculating the voltage required to achieve a specific current in a resistor.

Resistance

Resistance is a measure of the opposition to the flow of electric current in a conductor. It is measured in ohms (Ω) and depends on the material, length, and cross-sectional area of the conductor. In the context of the question, the 5400-Ω resistor indicates how much it resists the flow of current, which directly affects the voltage needed to achieve a certain current.

Current

Current is the flow of electric charge in a circuit, measured in amperes (A). It represents the rate at which charge is flowing through a conductor. In this question, a current of 0.25 A is specified, and understanding how current interacts with voltage and resistance is crucial for determining the necessary voltage to achieve this current through the given resistor.