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In the figure point P is at the center of the rectangle. With V= 0 at infinity, 9₁ - 5.90 fC, q2 = 4.09fC, 93 = 4.83 fC, and d = 3.38 cm, what is the net electric potential in volts at P due to the six charged particles? Number Mi Units +91 D •P +93 -92 -d +91

In the figure point P is at the center of the rectangle. With V= 0 at infinity, 9₁ - 5.90 fC, q2 = 4.09fC, 93 = 4.83 fC, and d = 3.38 cm, what is the net electric potential in volts at P due to the six charged particles? Number Mi Units +91 D •P +93 -92 -d +91

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College Physics
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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### Problem Description In the figure, point P is at the center of a rectangle. With electric potential \( V = 0 \) at infinity, the charges are as follows: - \( q_1 = 5.90 \, \text{fC} \) - \( q_2 = 4.09 \, \text{fC} \) - \( q_3 = 4.83 \, \text{fC} \) The distance \( d \) between the charges is \( 3.38 \, \text{cm} \). ### Question What is the net electric potential in volts at point P due to the six charged particles? ### Diagram Explanation The diagram is a rectangle with charges at each corner and at midpoints on the longer sides: 1. Top left corner: \( +q_1 \) 2. Top right corner: \( -q_2 \) 3. Midpoint on top side: \( -q_3 \) 4. Bottom left corner: \( +q_3 \) 5. Bottom right corner: \( +q_1 \) 6. Midpoint on bottom side: \( -q_2 \) Point P is located at the center of the rectangle. All positions of charges along the edges are symmetrical relative to point P. The charges are connected with lines indicating the distance \( d \) between them.
Transcribed Image Text:### Problem Description In the figure, point P is at the center of a rectangle. With electric potential \( V = 0 \) at infinity, the charges are as follows: - \( q_1 = 5.90 \, \text{fC} \) - \( q_2 = 4.09 \, \text{fC} \) - \( q_3 = 4.83 \, \text{fC} \) The distance \( d \) between the charges is \( 3.38 \, \text{cm} \). ### Question What is the net electric potential in volts at point P due to the six charged particles? ### Diagram Explanation The diagram is a rectangle with charges at each corner and at midpoints on the longer sides: 1. Top left corner: \( +q_1 \) 2. Top right corner: \( -q_2 \) 3. Midpoint on top side: \( -q_3 \) 4. Bottom left corner: \( +q_3 \) 5. Bottom right corner: \( +q_1 \) 6. Midpoint on bottom side: \( -q_2 \) Point P is located at the center of the rectangle. All positions of charges along the edges are symmetrical relative to point P. The charges are connected with lines indicating the distance \( d \) between them.
Expert Solution
Step 1: Electric potential formula and given data

The electric potential  due to a point charge  at a distance  is given by:

Where:

Is the electrostatic constant, Error converting from MathML to accessible text..

Given the values:

straight q subscript 1 equals 5.90 text  fC end text equals 5.90 cross times 10 to the power of negative 15 end exponent text  C end text

straight q subscript 2 equals 4.09 text  fC end text equals 4.09 cross times 10 to the power of negative 15 end exponent text  C end text

straight q subscript 3 equals 4.83 text  fC end text equals 4.83 cross times 10 to the power of negative 15 end exponent text C end text

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