Question

Which of the following statements is true?

• A. joule = volt $\times$ ampere
• B. joule = coulomb $\times$ volt
• C. joule = $\dfrac{\text{ampere}}{\text{volt}}$
• D. joule = $\dfrac{\text{coulomb}}{\text{volt}}$

Hint:

From \( V = \frac{J}{C} \), always remember: Joule = Volt $\times$ Coulomb.

Answer 1

The Correct Option is B

Concept: Electric potential difference is defined as work done per unit charge: \[ V = \frac{W}{Q} \] Rearranging the formula: \[ W = V \times Q \] Here,

\( W \) = work done (Joule)
\( V \) = potential difference (Volt)
\( Q \) = charge (Coulomb)
Thus, \[ 1~\text{Joule} = 1~\text{Volt} \times 1~\text{Coulomb} \]
Step 1: Using the definition of voltage: \[ V = \frac{J}{C} \]
Step 2: Rearranging: \[ J = C \times V \] Hence, joule equals coulomb multiplied by volt.