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Three Point Charges Are Placed at the Following Points in a Horizontal

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Three point charges are placed at the following points in a horizontal xyx - y plane: +4.0μC+ 4.0 \mu \mathrm { C } is at (0.00 m,0.50 m),+1.0μC( 0.00 \mathrm {~m} , 0.50 \mathrm {~m} ) , + 1.0 \mu \mathrm { C } is at (0.20 m,0.00 m)( 0.20 \mathrm {~m} , 0.00 \mathrm {~m} ) , and 5.0×μC- 5.0 \times \mu \mathrm { C } is at (0.20 m,0.50 m)( 0.20 \mathrm {~m} , 0.50 \mathrm {~m} ) . Calculate the electrical potential (relative to infinity) at the origin due to these three point charges. (k=1/4πε0=9.0×109 Nm2/C2)\left( k = 1 / 4 \pi \varepsilon _ { 0 } = 9.0 \times 10 ^ { 9 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 } \right)

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Definitions:

Significance Level

A threshold in hypothesis testing that determines the probability of rejecting a true null hypothesis, usually denoted as alpha (α).

Chi-squared Test

An analytical tool designed to assess if the observed frequencies differ significantly from those that were expected in one or more categories.

Normal Distribution

The distribution exhibits a symmetrical pattern centered on the mean, demonstrating the more common appearance of close-to-mean data than those at a distance.

Degrees Of Freedom

The number of values in a study that are free to vary when statistics, like variance, are being calculated, influencing the shape of various distributions.

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