Watt is equal to

Options

A. `A Omega`
B. `A^2 Omega`
C. `A omega^2`
D. `A Omega^2 s^(-1)`

Explanation

To find out what a watt is equal to, we need to understand the relationship between power, current, and resistance. Let's break it down step by step.

### Step-by-Step Solution

1. **Understand the Definition of Power**:
Power (P) is defined as the rate at which work is done or energy is transferred. The SI unit of power is the watt (W).

2. **Use the Basic Formula for Power**:
The basic formula for electrical power is given by:
\[ P = V \times I \]
where \( P \) is power, \( V \) is voltage, and \( I \) is current.

3. **Relate Voltage to Current and Resistance**:
According to Ohm’s Law, voltage (V) can be expressed in terms of current (I) and resistance (R):
\[ V = I \times R \]

4. **Substitute Voltage in the Power Formula**:
To express power in terms of current and resistance, substitute \( V \) in the power formula:
\[ P = (I \times R) \times I \]
Simplifying this gives:
\[ P = I^2 \times R \]

5. **Identify the Units**:
Now we need to express the units of power in terms of current and resistance:
- The unit of current (I) is amperes (A).
- The unit of resistance (R) is ohms (Ω).
Therefore, the unit of power can be expressed as:
\[ \text{Watt} = \text{Ampere}^2 \times \text{Ohm} \]
or
\[ 1 \text{ W} = 1 \text{ A}^2 \times 1 \text{ Ω} \]

### Final Answer
Thus, a watt is equal to:
\[ 1 \text{ W} = 1 \text{ A}^2 \times 1 \text{ Ω} \]