A Parallel-Plate Capacitor with Plate Separation Of $4.0 \mathrm {~cm}$ Has a Plate Area Of

question 102

Multiple Choice

A parallel-plate capacitor with plate separation of $4.0 \mathrm {~cm}$ has a plate area of $6.0 \times 10 ^ { - 2 } \mathrm {~m} ^ { 2 }$ .What is the capacitance of this capacitor if a dielectric material with a dielectric constant of $2.4$ is placed between the plates, completely filling the space? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } 2 / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right.$ )

• A) \(32 \times 10 ^ { - 14 } \mathrm {~F}\)
• B) \(32 \times 10 ^ { - 12 } \mathrm {~F}\)
• C) \(3.7 \times 10 ^ { - 14 } \mathrm {~F}\)
• D) \(16 \times 10 ^ { - 14 } \mathrm {~F}\)
• E) \(3.7 \times 10 ^ { - 12 } \mathrm {~F}\)

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Definitions:

Variance

A measure of the spread of scores within a set of data, indicating how much the numbers differ from the mean of the data set.

Scores

Refers to the numerical or categorical values obtained from tests, evaluations, or assessments.

Standard Deviation

A statistic that measures the dispersion of a dataset relative to its mean, indicating how spread out the data points are.

Unbiased Estimates

Refers to statistical estimates that are expected to be equal to the true values of the parameter being estimated, showing no systematic error.