When a current I flows through a resistance R for time t, the electrical energy spent is :

Options

A. `IRt`
B. `I^2 Rt`
C. `IR^2 t`
D. `I^2 R// t`

Explanation

To find the electrical energy spent when a current \( I \) flows through a resistance \( R \) for a time \( t \), we can use the formula derived from the relationship between power, current, resistance, and time.

### Step-by-Step Solution:

1. **Understand the relationship between power, current, and resistance**:
The power \( P \) dissipated in a resistor can be given by the formula:
\[ P = I^2 R \]
where \( I \) is the current flowing through the resistance \( R \).

2. **Relate power to energy**:
Power is defined as the rate at which energy is consumed or converted. Therefore, the energy \( E \) consumed over a time \( t \) can be expressed as:
\[ E = P \times t \]

3. **Substitute the expression for power into the energy formula**:
By substituting the expression for power \( P = I^2 R \) into the energy formula, we get:
\[ E = (I^2 R) \times t \]

4. **Simplify the expression**:
This simplifies to:
\[ E = I^2 R t \]

5. **Conclusion**:
Thus, the electrical energy spent when a current \( I \) flows through a resistance \( R \) for a time \( t \) is given by:
\[ E = I^2 R t \]

### Final Answer:
The electrical energy spent is \( E = I^2 R t \).