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Problem 3: A q₁ = -10.0 nC point charge and a q2 = +20.0 nC point charge are 15 cm apart on the x-axis. 1. What is the electric potential at the point on the x-axis where the electric field is zero? 2. What is the electric field at the point on the x-axis, between the charges, where the electric potential is zero? a) In the figure below, where could a point with E = 0 be located (to the left, to the right, or between the charges)? If the distance between this point and q₁ is r, what should its distance from ¹92 be? (use 1921/1911: = 2 and the fact that electric field strength is proportional to q/r2) Mark the point E = 0 in the figure and compute its coordinate.

Problem 3: A q₁ = -10.0 nC point charge and a q2 = +20.0 nC point charge are 15 cm apart on the x-axis. 1. What is the electric potential at the point on the x-axis where the electric field is zero? 2. What is the electric field at the point on the x-axis, between the charges, where the electric potential is zero? a) In the figure below, where could a point with E = 0 be located (to the left, to the right, or between the charges)? If the distance between this point and q₁ is r, what should its distance from ¹92 be? (use 1921/1911: = 2 and the fact that electric field strength is proportional to q/r2) Mark the point E = 0 in the figure and compute its coordinate.

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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can you help me with Part D, thank you so much

**Problem 3:** **Given:** - \( q_1 = -10.0 \, \text{nC} \) (negative charge at \( x = 0 \)) - \( q_2 = +20.0 \, \text{nC} \) (positive charge at \( x = L = 15 \, \text{cm} \)) These point charges are placed 15 cm apart on the x-axis. **Questions:** 1. Determine the electric potential at the point on the x-axis where the electric field is zero. 2. Identify the electric field at the point on the x-axis, between the charges, where the electric potential is zero. **a) Finding \(\vec{E} = 0\):** - Consider where a point with \(\vec{E} = 0\) could be located. - Discuss if the point is to the left, right, or in between the charges. - If the distance between this point and \( q_1 \) is \( r \), what should its distance from \( q_2 \) be? - Use \(|q_2| / |q_1| = 2\) and the fact that electric field strength is proportional to \( q / r^2 \). - Mark the point \(\vec{E} = 0\) and compute its coordinate. **Diagram:** The diagram shows a horizontal line representing the x-axis. Two charges are placed on this axis: - \( q_1 = -10 \, \text{nC} \) at \( x = 0 \) - \( q_2 = +20 \, \text{nC} \) at \( x = L = 15 \, \text{cm} \) **b) Electric Potential at \(\vec{E} = 0\):** - Compute the electric potential at the point \(\vec{E} = 0\) as the sum of potentials from \( q_1 \) and \( q_2 \). **c) Marking \( V = 0 \):** - Identify the point between the charges where the electric potential is zero (\( V = 0 \)). - Use \(|q_2| / |q_1| = 2\) and the fact that electric potential is proportional to \( q / r \) for a simple
Transcribed Image Text:**Problem 3:** **Given:** - \( q_1 = -10.0 \, \text{nC} \) (negative charge at \( x = 0 \)) - \( q_2 = +20.0 \, \text{nC} \) (positive charge at \( x = L = 15 \, \text{cm} \)) These point charges are placed 15 cm apart on the x-axis. **Questions:** 1. Determine the electric potential at the point on the x-axis where the electric field is zero. 2. Identify the electric field at the point on the x-axis, between the charges, where the electric potential is zero. **a) Finding \(\vec{E} = 0\):** - Consider where a point with \(\vec{E} = 0\) could be located. - Discuss if the point is to the left, right, or in between the charges. - If the distance between this point and \( q_1 \) is \( r \), what should its distance from \( q_2 \) be? - Use \(|q_2| / |q_1| = 2\) and the fact that electric field strength is proportional to \( q / r^2 \). - Mark the point \(\vec{E} = 0\) and compute its coordinate. **Diagram:** The diagram shows a horizontal line representing the x-axis. Two charges are placed on this axis: - \( q_1 = -10 \, \text{nC} \) at \( x = 0 \) - \( q_2 = +20 \, \text{nC} \) at \( x = L = 15 \, \text{cm} \) **b) Electric Potential at \(\vec{E} = 0\):** - Compute the electric potential at the point \(\vec{E} = 0\) as the sum of potentials from \( q_1 \) and \( q_2 \). **c) Marking \( V = 0 \):** - Identify the point between the charges where the electric potential is zero (\( V = 0 \)). - Use \(|q_2| / |q_1| = 2\) and the fact that electric potential is proportional to \( q / r \) for a simple
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