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2. Determine the location of a test charge between the two charges where the resultant electric field E is zero. q₁=+9.0 μC, q2=+6 μC 1μC= 1 x 10-6 C y 92 2.00 m 2.00- F23 93 F13 - 91 x

2. Determine the location of a test charge between the two charges where the resultant electric field E is zero. q₁=+9.0 μC, q2=+6 μC 1μC= 1 x 10-6 C y 92 2.00 m 2.00- F23 93 F13 - 91 x

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:** Determine the location of a test charge between the two charges where the resultant electric field \( E \) is zero. Given: \( q_1 = +9.0 \, \mu C \), \( q_2 = +6 \, \mu C \). \( 1 \mu C = 1 \times 10^{-6} \, C \) **Diagram Explanation:** The diagram depicts a linear arrangement of three charges along the x-axis: - Charge \( q_2 \) is at the origin. - Charge \( q_1 \) is at a distance of 2.00 meters along the x-axis. - A test charge \( q_3 \) is located between \( q_1 \) and \( q_2 \). Key Features of the Diagram: 1. **Coordinate System:** - The y-axis is vertical, and the x-axis is horizontal with a positive direction to the right. 2. **Charges:** - \( q_2 \) is positively charged and located at the origin (0,0). - \( q_1 \) is positively charged and placed 2.00 meters away from \( q_2 \) along the x-axis. - \( q_3 \) is the test charge placed somewhere between \( q_2 \) and \( q_1 \). 3. **Distance Markers:** - \( x \) is the distance from \( q_2 \) to \( q_3 \). - \( 2.00 - x \) is the remaining distance between \( q_3 \) and \( q_1 \). 4. **Electric Forces:** - \( \vec{F}_{23} \) is the force exerted by \( q_2 \) on \( q_3 \), pointing to the left (negative x-direction). - \( \vec{F}_{13} \) is the force exerted by \( q_1 \) on \( q_3 \), also pointing to the left. This problem involves finding the position \( x \) where the net electric field acting on \( q_3 \) is zero, considering the influences of \( q_1 \) and \( q_2 \).
Transcribed Image Text:**Problem Statement:** Determine the location of a test charge between the two charges where the resultant electric field \( E \) is zero. Given: \( q_1 = +9.0 \, \mu C \), \( q_2 = +6 \, \mu C \). \( 1 \mu C = 1 \times 10^{-6} \, C \) **Diagram Explanation:** The diagram depicts a linear arrangement of three charges along the x-axis: - Charge \( q_2 \) is at the origin. - Charge \( q_1 \) is at a distance of 2.00 meters along the x-axis. - A test charge \( q_3 \) is located between \( q_1 \) and \( q_2 \). Key Features of the Diagram: 1. **Coordinate System:** - The y-axis is vertical, and the x-axis is horizontal with a positive direction to the right. 2. **Charges:** - \( q_2 \) is positively charged and located at the origin (0,0). - \( q_1 \) is positively charged and placed 2.00 meters away from \( q_2 \) along the x-axis. - \( q_3 \) is the test charge placed somewhere between \( q_2 \) and \( q_1 \). 3. **Distance Markers:** - \( x \) is the distance from \( q_2 \) to \( q_3 \). - \( 2.00 - x \) is the remaining distance between \( q_3 \) and \( q_1 \). 4. **Electric Forces:** - \( \vec{F}_{23} \) is the force exerted by \( q_2 \) on \( q_3 \), pointing to the left (negative x-direction). - \( \vec{F}_{13} \) is the force exerted by \( q_1 \) on \( q_3 \), also pointing to the left. This problem involves finding the position \( x \) where the net electric field acting on \( q_3 \) is zero, considering the influences of \( q_1 \) and \( q_2 \).
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