A 50-NC Point Charge Is Embedded at the Center of a a Nonconducting

question 76

Multiple Choice

A 5.0-nC point charge is embedded at the center of a nonconducting sphere (radius = 2.0 cm) which has a charge of −8.0 nC distributed uniformly throughout its volume. What is the magnitude of the electric field at a point that is 1.0 cm from the center of the sphere?

• A) 1.8 × 10⁵ N/C
• B) 9.0 × 10⁴ N/C
• C) 3.6 × 10⁵ N/C
• D) 2.7 × 10⁵ N/C
• E) 7.2 × 10⁵ N/C

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Definitions:

Interaction Term

A variable in statistical models that captures the effect of two or more variables simultaneously affecting a response variable.

Significance Level

The probability of inappropriately disapproving the null hypothesis in a study of statistics, generally labelled as alpha.

Linearly Related

Shows a direct correlation between two variables in which the rate of increase or decrease in one variable is consistent with the rate in the other variable.

Indicator Variables

Indicator variables, also known as dummy variables, are used in statistical models to represent categorical data by assigning a binary value (usually 0 or 1) to each category.