QQuestionPhysics
QuestionPhysics
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}}.
Step 3:: Compare the derived unit with the given options
However, since capacitance is defined as the ratio of charge to voltage, the unit of capacitance is indeed $$\frac{\text{C}}{\text{V}}$$.
Comparing the derived unit with the given options, we can see that option B is the correct answer.
Final Answer
The units of capacitance are equivalent to $\mathrm{V} / \mathrm{C}$ (option B).
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