1. The units of capacitance are equivalent to: A) $\mathrm{J} / \mathrm{C}$ B) $\mathrm{V} / \mathrm{C}$ C) $\mathrm{J}^{2} / \mathrm{C}$ D) $\mathrm{C} / \mathrm{J}$ E) $\mathrm{C}^{2} / \mathrm{J}$
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Answer

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Step 1
: Recall the formula for capacitance

The formula for capacitance is $$C = \frac{Q}{V}$$, where $$C$$ represents capacitance, $$Q$$ represents charge, and $$V$$ represents voltage.
In this formula, capacitance is defined as the ratio of charge to voltage.

Step 2
: Analyze the units in the formula

In the formula, the unit of charge $$Q$$ is Coulombs (C), and the unit of voltage $$V$$ is Volts (V).
Therefore, the unit of capacitance C must be Coulombs per Volt, which can be written as \frac{\text{C}}{\text{V}}.

Final Answer

The units of capacitance are equivalent to $\mathrm{V} / \mathrm{C}$ (option B).