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Which of the following represents voltag...

Which of the following represents voltage?

A

`"Work done"/("current" xx "Time")`

B

`"Work done" xx "Charge"`

C

`("Work done" xx "Time")/"Current"`

D

`("Work done" xx "Charge")/"Time"`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options represents voltage, we can analyze the relationship between work done, charge, and voltage. ### Step-by-Step Solution: 1. **Understand the Definition of Voltage**: Voltage, also known as electric potential difference, is defined as the work done per unit charge to move a charge between two points in an electric field. 2. **Use the Formula for Voltage**: The formula for voltage (V) can be expressed as: \[ V = \frac{W}{Q} \] where: - \( V \) = Voltage - \( W \) = Work done - \( Q \) = Charge 3. **Relate Charge to Current and Time**: We know that charge (Q) can be expressed in terms of current (I) and time (t): \[ Q = I \times t \] where: - \( I \) = Current - \( t \) = Time 4. **Substitute Charge in the Voltage Formula**: By substituting \( Q \) in the voltage formula, we get: \[ V = \frac{W}{I \times t} \] 5. **Rearranging the Formula**: Rearranging the equation gives us: \[ V = \frac{W}{I \cdot t} \] This shows that voltage is directly related to work done and inversely related to the product of current and time. 6. **Conclusion**: Therefore, voltage can be represented as the work done per unit of charge, or in terms of current and time as shown above. ### Final Answer: The correct representation of voltage is given by the formula \( V = \frac{W}{I \cdot t} \).

To determine which of the given options represents voltage, we can analyze the relationship between work done, charge, and voltage. ### Step-by-Step Solution: 1. **Understand the Definition of Voltage**: Voltage, also known as electric potential difference, is defined as the work done per unit charge to move a charge between two points in an electric field. 2. **Use the Formula for Voltage**: ...
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