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4. Three point charges are located at the corners of a rectangle. The electric potential at the empty corner of the rectangle is zero. 91 92 (a) Determine the value of q₁- (b) What is the electric potential energy associated with q₁? (c) What is the electric potential at the center of the rectangle? (d) What is the total electric potential energy of this collection of charges? b 92 = 2.5 µC 93 = -3 μC a = 3mm b = 4mm 93

4. Three point charges are located at the corners of a rectangle. The electric potential at the empty corner of the rectangle is zero. 91 92 (a) Determine the value of q₁- (b) What is the electric potential energy associated with q₁? (c) What is the electric potential at the center of the rectangle? (d) What is the total electric potential energy of this collection of charges? b 92 = 2.5 µC 93 = -3 μC a = 3mm b = 4mm 93

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Statement:** Three point charges are located at the corners of a rectangle. The electric potential at the empty corner of the rectangle is zero. **Diagram:** - The rectangle has three corners occupied by point charges: \( q_1 \), \( q_2 \), and \( q_3 \). - \( q_2 = 2.5 \, \mu \text{C} \) - \( q_3 = -3 \, \mu \text{C} \) - Side \( a = 3 \, \text{mm} \) - Side \( b = 4 \, \text{mm} \) **Questions:** (a) Determine the value of \( q_1 \). (b) What is the electric potential energy associated with \( q_1 \)? (c) What is the electric potential at the center of the rectangle? (d) What is the total electric potential energy of this collection of charges? --- **Explanation:** - **Diagram**: The diagram shows a rectangle with its sides labeled \( a \) and \( b \). Three of its corners are occupied by the point charges \( q_1 \), \( q_2 \), and \( q_3 \). The remaining corner is indicated as having zero electric potential. - **Constants/Values**: The values of the charges \( q_2 \) and \( q_3 \) are given, along with the dimensions of the rectangle \( a \) and \( b \). The problem revolves around determining the unknown charge \( q_1 \) and various electric potentials and energies associated with these charges.
Transcribed Image Text:**Problem Statement:** Three point charges are located at the corners of a rectangle. The electric potential at the empty corner of the rectangle is zero. **Diagram:** - The rectangle has three corners occupied by point charges: \( q_1 \), \( q_2 \), and \( q_3 \). - \( q_2 = 2.5 \, \mu \text{C} \) - \( q_3 = -3 \, \mu \text{C} \) - Side \( a = 3 \, \text{mm} \) - Side \( b = 4 \, \text{mm} \) **Questions:** (a) Determine the value of \( q_1 \). (b) What is the electric potential energy associated with \( q_1 \)? (c) What is the electric potential at the center of the rectangle? (d) What is the total electric potential energy of this collection of charges? --- **Explanation:** - **Diagram**: The diagram shows a rectangle with its sides labeled \( a \) and \( b \). Three of its corners are occupied by the point charges \( q_1 \), \( q_2 \), and \( q_3 \). The remaining corner is indicated as having zero electric potential. - **Constants/Values**: The values of the charges \( q_2 \) and \( q_3 \) are given, along with the dimensions of the rectangle \( a \) and \( b \). The problem revolves around determining the unknown charge \( q_1 \) and various electric potentials and energies associated with these charges.
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