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Which of the following represents a volt...

Which of the following represents a volt?

A

Joule/second

B

Watt/Ampere

C

Watt/Coulomb

D

Coulomb/Joule

Text Solution

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The correct Answer is:
To determine which of the following represents a volt, we need to understand the definition and the units associated with it. ### Step-by-Step Solution: 1. **Definition of Volt**: A volt (V) is defined as the unit of electric potential difference or electromotive force. It measures how much potential energy is available to move a unit charge between two points in an electric field. 2. **Potential Energy**: The potential (V) can be expressed in terms of potential energy (U) and charge (Q). The relationship is given by the formula: \[ V = \frac{U}{Q} \] where: - \( V \) is the voltage in volts, - \( U \) is the potential energy in joules, - \( Q \) is the charge in coulombs. 3. **Units of Potential Energy**: The unit of potential energy is joules (J). Therefore, we can rewrite the equation as: \[ V = \frac{J}{C} \] where \( C \) is the unit of charge (coulombs). 4. **Relating to Power**: We know that power (P) is defined as the rate of doing work or the rate of energy transfer. The formula for power is: \[ P = \frac{W}{t} \] where: - \( P \) is power in watts (W), - \( W \) is work done in joules (J), - \( t \) is time in seconds (s). 5. **Current Definition**: Current (I) is defined as the charge per unit time: \[ I = \frac{Q}{t} \] where \( I \) is in amperes (A). 6. **Combining the Equations**: From the power equation, we can express power in terms of voltage and current: \[ P = V \cdot I \] Rearranging this gives: \[ V = \frac{P}{I} \] Since power is measured in watts (W) and current in amperes (A), we can express voltage as: \[ V = \frac{W}{A} \] 7. **Conclusion**: Therefore, the unit of volt can be expressed as watts per ampere: \[ 1 \text{ V} = 1 \frac{\text{W}}{\text{A}} \] ### Final Answer: The correct representation of a volt is **Watt per Ampere (W/A)**. ---

To determine which of the following represents a volt, we need to understand the definition and the units associated with it. ### Step-by-Step Solution: 1. **Definition of Volt**: A volt (V) is defined as the unit of electric potential difference or electromotive force. It measures how much potential energy is available to move a unit charge between two points in an electric field. 2. **Potential Energy**: The potential (V) can be expressed in terms of potential energy (U) and charge (Q). The relationship is given by the formula: \[ ...
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