Which of the following represents voltage ?

Options

A. `("Work done")/("Current" xx "Time")`
B. `"Work done" xx "Charge"`
C. `("Work Done" xx "Time")/("Current")`
D. `"Work done" xx "Charge" xx "Time"`

Explanation

To determine which of the following represents voltage, we can analyze the relationship between voltage, work done, current, and time. Here’s a step-by-step solution:

### Step 1: Understand the Definition of Voltage
Voltage (V) is defined as the electric potential difference between two points in a circuit. It can also be understood in terms of work done (W) when moving a charge (Q) through an electric field.

### Step 2: Relate Voltage to Work Done
The relationship between voltage, work done, and charge is given by the formula:
\[ V = \frac{W}{Q} \]
Where:
- \( V \) is the voltage,
- \( W \) is the work done,
- \( Q \) is the charge.

### Step 3: Relate Work Done to Power
Power (P) is defined as the rate of doing work, which can be expressed as:
\[ P = \frac{W}{t} \]
Where:
- \( P \) is the power,
- \( W \) is the work done,
- \( t \) is the time.

### Step 4: Express Power in Terms of Voltage and Current
For electrical circuits, power can also be expressed in terms of voltage and current:
\[ P = V \times I \]
Where:
- \( I \) is the current.

### Step 5: Combine the Equations
From the power equation \( P = \frac{W}{t} \) and \( P = V \times I \), we can equate the two:
\[ V \times I = \frac{W}{t} \]

### Step 6: Solve for Voltage
Rearranging the equation gives us:
\[ V = \frac{W}{I \times t} \]
This shows that voltage can also be expressed as work done per unit of current and time.

### Conclusion
From the analysis above, we can conclude that the representation of voltage in terms of work done, current, and time is:
\[ V = \frac{W}{I \times t} \]

Thus, the correct option that represents voltage is the one that states "work done per unit current into time."