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Which of the following terms does not re...

Which of the following terms does not represent electrical power in a circuit :

A

`I^2 R`

B

`I R^2`

C

`VI`

D

`V^2/R`

Text Solution

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The correct Answer is:
To determine which term does not represent electrical power in a circuit, we will analyze each option based on the formulas for electrical power. ### Step-by-Step Solution: 1. **Understanding Electrical Power**: The electrical power (P) in a circuit can be defined using the formula: \[ P = VI \] where \( V \) is the voltage and \( I \) is the current. 2. **Analyzing Each Option**: - **Option A: \( I^2 R \)**: From Ohm's Law, we know that \( V = IR \). Substituting \( I \) in the power formula: \[ P = I^2 R \] This is a valid expression for power. - **Option B: \( IR^2 \)**: This expression does not directly relate to any standard power formula. It does not simplify to any known power equation. Thus, we need to investigate further. - **Option C: \( VI \)**: This is the basic definition of electrical power. Therefore, this is a valid expression for power. - **Option D: \( \frac{V^2}{R} \)**: Using Ohm's Law \( V = IR \), we can also express power as: \[ P = \frac{V^2}{R} \] This is also a valid expression for power. 3. **Conclusion**: After analyzing all options, we find that: - Option A (\( I^2 R \)) is valid. - Option B (\( IR^2 \)) does not represent electrical power. - Option C (\( VI \)) is valid. - Option D (\( \frac{V^2}{R} \)) is valid. Therefore, the term that does not represent electrical power in a circuit is: \[ \text{Option B: } IR^2 \] ### Final Answer: **Option B: \( IR^2 \)** does not represent electrical power in a circuit.

To determine which term does not represent electrical power in a circuit, we will analyze each option based on the formulas for electrical power. ### Step-by-Step Solution: 1. **Understanding Electrical Power**: The electrical power (P) in a circuit can be defined using the formula: \[ P = VI ...
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