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The formula that expresses potential difference (V) in relation to work done (W) and charge (Q) is derived from the fundamental concept of electric potential. The potential difference, or voltage, is defined as the amount of work done per unit charge to move a charge from one point to another in an electric field. This relationship can be mathematically represented by the formula:

V = W / Q

Here, V is the potential difference in volts, W is the work done in joules, and Q is the charge in coulombs. This formula is essential because it quantifies the energy transfer associated with moving a charge within an electric field, illustrating how much work is required to move the charge and, consequently, the energy associated with electric circuits.

The other options do not accurately represent the relationship between potential difference, work, and charge. For instance, Q divided by W does not correspond to a meaningful physical quantity in this context, while the expressions involving multiplication of V with Q or W with V do not reflect the correct relationship defined by the concept of potential difference.