A Tiny Particle Carries a Charge Of $6.0 \mu \mathrm { C }$

question 19

Multiple Choice

A tiny particle carries a charge of $6.0 \mu \mathrm { C }$ . What is the energy density in the electric field at a distance of $4.0 \mathrm {~m}$ from this charge? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , k = 1 / 4 \pi \varepsilon _ { 0 } = 9.0 \times 10 ^ { 9 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 } \right)$

• A) \(0.81 \mathrm {~mJ} / \mathrm { m } ^ { 3 }\)
• B) \(0.050 \mathrm {~mJ} / \mathrm { m } ^ { 3 }\)
• C) \(3.2 \mathrm {~mJ} / \mathrm { m } ^ { 3 }\)
• D) \(0.20 \mathrm {~mJ} / \mathrm { m } ^ { 3 }\)

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Definitions:

Quarter

One fourth of a given quantity, often referring to a quarter of a year or a quarter of an hour (15 minutes).

Percent Decrease

A measure of how much a quantity has decreased in percentage terms compared to its previous value.

Percent Increase

The process of determining the ratio of the increase in a quantity to the original amount, expressed as a percentage.

Stock Value

The price of a single share of a company's stock, representing ownership in the company and its potential profitability.