a) Find the potential at the point P located at a distance d from the center of the disk. Show what you will consider as dq? Show the detail of your steps. b) Calculate the electric field from the potential you calculated above. c) Calculate the potential difference between two points at d = R and d = 2R. Integral you may need (S - ada = Vx² + a² + C) Vx2+az d

a) Find the potential at the point P located at a distance d from the center of the disk. Show what you will consider as dq? Show the detail of your steps. b) Calculate the electric field from the potential you calculated above. c) Calculate the potential difference between two points at d = R and d = 2R. Integral you may need (S - ada = Vx² + a² + C) Vx2+az d

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter26: Electric Potential

Section: Chapter Questions

Problem 10PQ: A hydrogen atom consists of an electron and a proton. Model the hydrogen atom as a dipole with...

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Question

Consider a charge disk with uniform surface charge density ?? as shown in the figure.
The radius of the disk is R.

**Problem Statement:**

a) Find the potential at the point P located at a distance \( d \) from the center of the disk. Show what you will consider as \( dq \). Show the detail of your steps.

b) Calculate the electric field from the potential you calculated above.

c) Calculate the potential difference between two points at \( d = R \) and \( d = 2R \).

**Integral you may need:**
\[
\int \frac{a \, da}{\sqrt{x^2 + a^2}} = \sqrt{x^2 + a^2} + C
\]

**Diagram Explanation:**

The diagram shows a circular disk with radius \( R \). The disk is oriented such that it is perpendicular to the line extending from its center to a point \( P \), which is located at a distance \( d \) from the center of the disk. The distance \( d \) is represented by a straight line extending horizontally from the disk's center to point \( P \).

Expert Solution

Step 1

Given

Radius of charge disc = R

Disc is uniformly charge

We have to calculate

Electric field and electric potential at a particular point p due to this disc

Step by step

Solved in 2 steps with 2 images

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Similar questions

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