Question

Explain the statement "Potential difference between two points is 1 volt".

Hint:

The potential difference of 1 volt means 1 joule of work is needed to move 1 coulomb of charge between two points. It represents the energy per unit charge in an electric circuit.

Answer 1

Voltage, also known as potential difference, quantifies the work needed to move charge between two points in an electric circuit. It's measured in volts (V), defined as: \[ 1 \, \text{Volt} = \frac{1 \, \text{Joule}}{1 \, \text{Coulomb}}. \] This implies 1 volt is the potential difference requiring 1 joule of work to shift 1 coulomb of charge. Breakdown: 1. Work in Electric Fields: Moving a charge in an electric field requires work. Moving a positive charge against the field requires work. 2. Work and Charge Relation: Potential difference is defined as work done per unit charge. 3. Mathematical Representation: The potential difference \( V \) is calculated as: \[ V = \frac{W}{Q} \] where: - \( V \) is voltage (volts), - \( W \) is work (joules), - \( Q \) is charge (coulombs). 4. Example: If 1 joule of work moves 1 coulomb of charge, the potential difference is 1 volt. This means that 1 volt exists if 1 joule of energy moves 1 coulomb of charge between two points. In essence, "Potential difference between two points is 1 volt" means 1 joule of work moves 1 coulomb of charge between those points.