A Square Is $1.0 \mathrm {~m}$ On a Side Point Charges Of \mathrm

question 94

Multiple Choice

A square is $1.0 \mathrm {~m}$ on a side. Point charges of $+ 4.0 \mu \mathrm { C }$ are placed in two diagonally opposite corners. In the other two corners are placed charges of $+ 3.0 \mu \mathrm { C }$ and $- 3.0 \mu \mathrm { C }$ . What is the potential (relative to infinity) at the midpoint of the square? $\left( k = 1 / 4 \pi \varepsilon _ { 0 } = 9.0 \times 10 ^ { 9 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 } \right)$

• A) \(1.0 \times 10 ^ { 4 } \mathrm {~V}\)
• B) infinite
• C) \(1.0 \times 10 ^ { 6 } \mathrm {~V}\)
• D) \(1.0 \times 10 ^ { 5 } \mathrm {~V}\)
• E) \(0 \mathrm {~V}\)

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Definitions:

Autonomous C

Consumer spending that does not depend on current income, influenced by factors like confidence and wealth, key for understanding economic fluctuations.

Induced C

Refers to the consumption that varies with income levels; as income increases, so does the consumption level.

Autonomous Consumption

the level of consumption that occurs when income is zero, representing the expenditures necessary to meet basic needs.

Disposable Income

Available cash for households to utilize in saving and spending after income taxes have been processed.