1 V equals

Options

A. `1J`
B. `1JC^(-1)`
C. `1CJ^(-1)`
D. `1JC`

Explanation

To solve the question "1 V equals", we need to understand the relationship between volts, joules, and coulombs. Here’s a step-by-step breakdown:

### Step 1: Understand the Definition of Volt
1. **Definition**: A volt (V) is defined as the potential difference that will move one coulomb of charge with one joule of energy.
2. **Formula**: This can be expressed with the formula:
\[ V = \frac{W}{Q} \]
where \( V \) is the potential difference in volts, \( W \) is the work done in joules, and \( Q \) is the charge in coulombs.

### Step 2: Rearranging the Formula
1. **Rearranging**: From the formula, we can rearrange it to find the relationship between volts, joules, and coulombs:
\[ V = \frac{W}{Q} \implies 1 \text{ V} = \frac{1 \text{ J}}{1 \text{ C}} \]
This means that 1 volt is equal to 1 joule per coulomb.

### Step 3: Conclusion
1. **Final Answer**: Therefore, we conclude that:
\[ 1 \text{ V} = 1 \text{ joule per coulomb} \]

### Step 4: Check the Options
1. **Options**: The options given were:
- 1 joule
- 1 joule per coulomb
- 1 coulomb per joule
- 1 joule per coulomb (repeated)

2. **Correct Option**: The correct answer is "1 joule per coulomb".

### Final Answer
Thus, we conclude that:
\[ \text{1 V equals } 1 \text{ joule per coulomb.} \]

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