Positive Charge Q Is Distributed Uniformly Throughout an Insulating Sphere $\pi$

question 12

Multiple Choice

Positive charge Q is distributed uniformly throughout an insulating sphere of radius R, centered at the origin. A particle with a positive charge Q is placed at x = 2R on the x axis. The magnitude of the electric field at x = R/2 on the x axis is:

• A) Q/4 \(\pi\)\(\varepsilon\)₀R²
• B) Q/8 \(\pi\)\(\varepsilon\)₀R²
• C) 7Q/18 \(\pi\)\(\varepsilon\)₀/R²
• D) 11Q/18 \(\pi\)\(\varepsilon\)₀R²
• E) none of these

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Definitions:

Variable Demand

Fluctuations in customer demand for products or services over time, which can significantly impact supply chain, inventory management, and planning processes.

Poisson Distribution

A discrete probability distribution that often describes the arrival rate in queuing theory.

Exponential Service

A service mechanism in which the service times follow an exponential distribution, commonly used to model random service processes in queueing theory.

Monte Carlo Analysis

A statistical technique that utilizes random sampling and variability to calculate risks and predict outcomes in a wide range of applications.