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

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

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