A Spherical Conductor of Radius $2.0 \mathrm {~mm}$ Carries a Charge Of

question 72

Multiple Choice

A spherical conductor of radius $2.0 \mathrm {~mm}$ carries a charge of $7.1 \mathrm { nC }$ . What is the magnitude of the electrical field at $6.0 \mathrm {~mm}$ from the center of the sphere? $\left( k = 1 / 4 \pi \varepsilon _ { 0 } = 9.0 \times 10 ^ { 9 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 } \right)$

• A) \(25 \times 10 ^ { 6 } \mathrm {~N} / \mathrm { C }\)
• B) \(780 \times 10 ^ { 6 } \mathrm {~N} / \mathrm { C }\)
• C) \(0.89 \times 10 ^ { 6 } \mathrm {~N} / \mathrm { C }\)
• D) \(1.8 \times 10 ^ { 6 } \mathrm {~N} / \mathrm { C }\)
• E) \(89 \times 10 ^ { 6 } \mathrm {~N} / \mathrm { C }\)

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Definitions:

Square

A polygon with four equal sides and four right angles; also, the mathematical operation of multiplying a number by itself.

Dimensional-analysis

A method in physics and engineering to check the consistency of equations involving physical quantities by tracking units and dimensions.

Seconds

The basic unit of time in the International System of Units (SI), equal to one sixtieth of a minute.

Hours

A period of time equal to a twenty-fourth part of a day and night and universally understood to be 60 minutes.