## Explanation

### Volt

In an electric circuit, the unit that does work is the **volt (V)**. The volt measures electrical potential difference or electromotive force, which is responsible for driving electric current through a conductor.

### Mathematical Representation

The relationship between voltage (V), current (I), and resistance (R) is given by **Ohm's Law**:

Where:

- $V$ is the voltage in volts $(\text{V})$
- $I$ is the current in amperes $(\text{A})$
- $R$ is the resistance in ohms $(\Omega)$

### Work Done In A Circuit

The **work done** by the electrical energy in a circuit can be described by the equation for electrical power (P):

Where:

- $P$ is the power in watts $(\text{W})$
- $V$ is the voltage in volts $(\text{V})$
- $I$ is the current in amperes $(\text{A})$

### Energy Conversion

The energy ($W$) used in a circuit is related to power and time $t$:

$W = P \cdot t = V \cdot I \cdot t$Where:

- $W$ is the energy in joules $(\text{J})$
- $P$ is the power in watts $(\text{W})$
- $V$ is the voltage in volts $(\text{V})$
- $I$ is the current in amperes $(\text{A})$
- $t$ is the time in seconds $(\text{s})$

### Conclusion

Voltage (V) is the fundamental unit that **does the work** in an electric circuit by driving the movement of charges and enabling the conversion of electrical energy into other forms of energy, such as heat, light, or mechanical energy.