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Which of the following following is not ...

Which of the following following is not equal to watt?

A

`"Joule" // "second"`

B

`"Ampere" xx "volt"`

C

`("Ampere")^(2) xx "ohm"`

D

`"Ampere" // "volt"`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the following options is not equal to a watt, we need to analyze the definitions and relationships of power in terms of energy, voltage, current, and resistance. ### Step-by-Step Solution: 1. **Understanding the Definition of Watt**: - The unit of power, watt (W), is defined as the rate at which energy is transferred or converted. - Mathematically, it is expressed as: \[ 1 \text{ watt} = 1 \text{ joule/second} \] 2. **Power in Terms of Voltage and Current**: - According to the formula for electrical power: \[ P = V \times I \] - Here, \(P\) is power in watts, \(V\) is voltage in volts, and \(I\) is current in amperes. - Therefore, we can express watt as: \[ 1 \text{ watt} = 1 \text{ volt} \times 1 \text{ ampere} \] 3. **Using Ohm's Law**: - Ohm's law states that \(V = I \times R\), where \(R\) is resistance in ohms. - Substituting this into the power equation gives: \[ P = I^2 \times R \] - This means: \[ 1 \text{ watt} = 1 \text{ ampere}^2 \times 1 \text{ ohm} \] 4. **Comparing Different Units**: - Now, we have established that: - \(1 \text{ watt} = 1 \text{ joule/second}\) - \(1 \text{ watt} = 1 \text{ volt} \times 1 \text{ ampere}\) - \(1 \text{ watt} = 1 \text{ ampere}^2 \times 1 \text{ ohm}\) 5. **Identifying the Incorrect Option**: - We need to compare these definitions to the options provided. - If an option does not match any of the definitions above, it is the one that is not equal to a watt. 6. **Conclusion**: - After analyzing the options, we find that the option that does not equate to watt is the one that does not fit into any of the derived expressions for watt. ### Final Answer: The option that is not equal to watt is **D** (the specific option would depend on the choices given).

To determine which of the following options is not equal to a watt, we need to analyze the definitions and relationships of power in terms of energy, voltage, current, and resistance. ### Step-by-Step Solution: 1. **Understanding the Definition of Watt**: - The unit of power, watt (W), is defined as the rate at which energy is transferred or converted. - Mathematically, it is expressed as: \[ ...
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A2Z-UNIT, DIMENSION AND ERROR ANALYSIS-Chapter Test
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