**Electric Potential and Charge Distribution Example**In this example, we have two charges, \( q_1 = 55 \, \text{nC} \) and \( q_2 \) (whose magnitude is unknown), located on the x-axis. Charge \( q_1 \) is positioned at a distance \( a = 10.5 \, \text{cm} \) from a point \( P \), and \( q_2 \) is at a distance \( b = 4 \, \text{cm} \) from point \( P \).### Problem:Calculate the unknown charge \( q_2 \) if the electric potential at point \( P \) is 200 volts.**Solution:**The calculated value of the second charge, \( q_2 \), is \( -20.06 \, \text{nC} \).### Additional Question:Identify the x-coordinates of the two points on the x-axis where the electric potential is zero.- **Left Point (x-coordinate):** \( x_1 = 10.62 \, \text{cm} \)- **Right Point (x-coordinate):** \( x_2 = \text{Error in input, correct unit missing} \, \text{cm} \)### Diagram Explanation:The diagram is a simple linear layout on the x-axis:- **q1** is placed to the left, emitting a field towards point \( P \).- **Point P** is located between \( q_1 \) and \( q_2 \).- **q2** resides on the right, opposite \( q_1 \).This example illustrates the calculation of electric potentials and the analysis of a charge configuration where potentials cancel at certain points along the axis. ### Electric Potential ProblemTwo charges, \( q_1 = 55 \, \text{nC} \) and an unknown \( q_2 \), are located on the x-axis. The positions are as follows:- \( q_1 \) is 10.5 cm away from point P.- \( q_2 \) is 4 cm away from point P.The task is to find the value of \( q_2 \) if the electric potential at point P is 200 Volts.#### Solution:- The calculated value of \( q_2 \) is \(-20.06 \, \text{nC}\).There are two points on the x-axis where the electric potential is zero. These are referred to as the left and right points.- The position of the left point, \( x_1 \), is 10.62 cm.- The position of the right point, \( x_2 \), is incorrectly marked and should be adjusted for accuracy.#### Diagram Description:The diagram shows two charges on the x-axis:- \( q_1 \) is placed on the left, and \( q_2 \) is on the right.- Point P lies between these two charges along the x-axis.This setup is used to analyze and determine the electric potential due to these point charges at specific locations on the x-axis.

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Two charges q, = 55 nC and q, (the charge is unknown) are located on the x-axis at the distances a = 10.5 cm and b = 4 cm from a point P respectively, see the picture below. Find q, if the electric potential at point P is 200 Volts. y P 9, a The second charge, q2 = -20.08 Units nC There are two points on the x-axis where the electric potential is zero. Find the x-coordinate of the left and right point with zero potential. The position of the left point, x, = 10.62 Units cm The position of the right point, x2 =4 X Units om

Two charges q, = 55 nC and q, (the charge is unknown) are located on the x-axis at the distances a = 10.5 cm and b = 4 cm from a point P respectively, see the picture below. Find q, if the electric potential at point P is 200 Volts. y P 9, a The second charge, q2 = -20.08 Units nC There are two points on the x-axis where the electric potential is zero. Find the x-coordinate of the left and right point with zero potential. The position of the left point, x, = 10.62 Units cm The position of the right point, x2 =4 X Units om

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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**Electric Potential and Charge Distribution Example**

In this example, we have two charges, \( q_1 = 55 \, \text{nC} \) and \( q_2 \) (whose magnitude is unknown), located on the x-axis. Charge \( q_1 \) is positioned at a distance \( a = 10.5 \, \text{cm} \) from a point \( P \), and \( q_2 \) is at a distance \( b = 4 \, \text{cm} \) from point \( P \).

### Problem:
Calculate the unknown charge \( q_2 \) if the electric potential at point \( P \) is 200 volts.

**Solution:**
The calculated value of the second charge, \( q_2 \), is \( -20.06 \, \text{nC} \).

### Additional Question:
Identify the x-coordinates of the two points on the x-axis where the electric potential is zero.

- **Left Point (x-coordinate):** \( x_1 = 10.62 \, \text{cm} \)
- **Right Point (x-coordinate):** \( x_2 = \text{Error in input, correct unit missing} \, \text{cm} \)

### Diagram Explanation:
The diagram is a simple linear layout on the x-axis:
- **q1** is placed to the left, emitting a field towards point \( P \).
- **Point P** is located between \( q_1 \) and \( q_2 \).
- **q2** resides on the right, opposite \( q_1 \).

This example illustrates the calculation of electric potentials and the analysis of a charge configuration where potentials cancel at certain points along the axis.

### Electric Potential Problem

Two charges, \( q_1 = 55 \, \text{nC} \) and an unknown \( q_2 \), are located on the x-axis. The positions are as follows:
- \( q_1 \) is 10.5 cm away from point P.
- \( q_2 \) is 4 cm away from point P.

The task is to find the value of \( q_2 \) if the electric potential at point P is 200 Volts.

#### Solution:

- The calculated value of \( q_2 \) is \(-20.06 \, \text{nC}\).

There are two points on the x-axis where the electric potential is zero. These are referred to as the left and right points.

- The position of the left point, \( x_1 \), is 10.62 cm.
- The position of the right point, \( x_2 \), is incorrectly marked and should be adjusted for accuracy.

#### Diagram Description:

The diagram shows two charges on the x-axis:
- \( q_1 \) is placed on the left, and \( q_2 \) is on the right.
- Point P lies between these two charges along the x-axis.

This setup is used to analyze and determine the electric potential due to these point charges at specific locations on the x-axis.

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