Find all image charges for the following configurations of single point charge and infinite conducting planes. The point charge always bisects the angle: a)O = 180°(9O = 90°4.c)O = 45°d)Establish the patern for ab,c and use that toextrapolate to the cose where the angle e isexpect the imageextremely small.What doyouchorges to look like ? Sketchanswen.your

Method of Image Charges It is a method of analyzing the effects of a single charge or charge distributions. In this method charges which are already present in the charge distribution induce a virtual image charge on the opposite side of a dividing boundary. The potential difference and the electric field due to the single charge is found by the contribution of all the possible image charges. A common example of this type of analysis is seen using an infinite conducting plate. The image charge in this case is induced in the opposite side of the plate at the same distance as the source charge and carries an opposite type of charge. a) In the first question, a charge +q is present on the upper side of an infinite conducting plate. Therefore by the method of image charges, the image charge of -q will be induced on the opposite side of the conducting plate at the same distance as +q. b) In this case two infinite conducting plates are kept at an angle of 90°. Thus there will be initially two image charges each of -q induced on the opposite sides of each plate. These -q charges will again induce another image charge +q as shown in the figure. c) In the third case the angle between the conducting plates is 45°. There will be seven image charges that will be induced in the following way d) From the above three examples we can derive a formula for the number of image charges induced when the angle between the infinite conducting planes is θ. If n is the number of image charges then n+1=360θ For very small value of θ, that is, when θ→0° then n+1→∞⇒n→∞ Thus for a very small value of θ, the number of image charges goes to infinity. The image charges will form a ring with adjacent charges of opposite types. Answer: a) There is one image charge. b) There are three image charges. c) there are seven image charges. d) The number of image charges is given by n+1=360θ If the angle is very small, the image charges will form a ring.

Answered: Find all image charges for the…

Science

Advanced Physics

Find all image charges for the following configurations of single point charge and infinite conducting planes

Related questions

Q: A charge distributed over an infinite spherical space is equal in volume in which the volumetric…

A: According to Gauss law of electrostatics for a spherical gaussian surface:- E×4πr2 = qin/εo (i)…

Q: 7 C of charge are placed on a spherical conducting shell. A particle with a charge of 4 C is placed…

Q: A point charge q lies at the center of a charged spherical shell. The charged shell carries an equal…

A: Determine, The electric field in every region around a charge which is enclosed by a spherical…

Q: A rod with a uniformly distributed charge Q is bent into an arc such that it subtends an angle 20,…

A: Let electric field E at point P now consider a point charge at a distance r . We know , Electric…

Q: A pair of unlike charges equal in magnitude and separated by a small distance is known as a dipole.…

Q: Two semi-infinite grounded conducting planes meet at right angles. In the region between them, there…

A: The objective of the question is to determine the number of image charges, their respective charges,…

Q: Two spherical cavities, of radii a and b, are hollowed out from the interior of a (neutral)…

A: Two spherical cavities, of radii a and b, are hollowed out from the interior of a (neutral)…

Q: Suppose the divergence of the electrie field in some spherical region is found to be VE Skr. Find…

A: Gauss Law states that electric flux through any closed surface is proportional to the total charge…

Q: A thin rod lies on the x-axis with one end at -A and the other end at A, as shown in the diagram. A…

Q: Consider a thin semicircle of radius as shown in figure below. A positive charge q is uniformly…

A: Given: Charge=q radius=r

Q: Consider the two electric field line diagrams below: In the first diagram, there are two point…

Q: Quèstion 2 Consider a point charge Q is located at the origin. Divergence of the electric flux…

Q: A thin rod of finite length L has a uniform charge density X. Follow the steps below to show that th…

A: Let the charge given is q and the uniform charge density is given by λ. The distance on the x axis…

Q: Shown to the right, viewed edge-on, are two disks, each with a of radius R, which are very close to…

A: Given: We have to find electric field at point X.

Q: te approximation:

Q: +Q a +90 +9 +Q

Q: -7 C of charge are placed on a spherical conducting shell. A particle with a charge of 1 C is placed…

Q: The red and blue circles below are fixed point charges, which have either +q or ±Q charge, with Q >…

Q: Two point charges, q, are placed at the base of an equilaterial triangle. A charge of 2q is place at…

Q: The sphere of radius R with a point charge q at its center is filled with a linear dielectric of…

A: The problem is based on the concept of Dielectrics. We know the differential form of Gauss's law in…

Q: 11.A solid conducting sphere carrying charge q has radius a. It is inside a concentric hollow…

A: Given: A solid conducting sphere carrying charge q has radius 'a'.This solid conducting sphere is…

Q: ● 10.0 μC |-6.0 μC. +1.0 µC +5.0 µC + +4.0 μC -2.0 μC |+15.0 μC -5.0 μC Surface D +12 μC + Surface C…

Q: g-5.5 μC 92 = -8.3 µC If you put a point charge with a charge of -12.3 µC at point A, what is the…

A: An attractive and repulsive force between particles are caused due to their electric charges. The…

Q: Consider a very thin semi-circle of charge as shown, with radius of R. Explain with words and…

Q: Problem 2: It is required to hold four equal point charges q in equilibrium at the corner of a…

A: SOlution: given that charge on four corners of rectangle is q point charge Q value in terms of q.

Q: |A line of length l is uniformly charged with a linear charge density of A. a) Show that the…

A: (a)The electric field at a point P above the midpoint of the line is,The linear charge density is,

Q: Two point charges, with charges q and -2q are situated above a grounded conducting plane, as shown.…

Q: Here is a cylinder on whose surfaces there is an electric field whose direction is vertically…

A: Here, the electric field coming out of the cylinder is 800 V/m and the electric field incoming the…

Q: Two spherical cavities, of radii a and b, are hollowed out from the interior of a (neutral)…

A: Two spherical cavities, of radii a and b, are hollowed out from the interior of a (neutral)…

Q: The figure below shows six point charges that all lie in the same plane. Five Gaussi- an…

Q: Consider the following image, point P is located on the x axis with coordinates (X, 0). Two positive…

A: This question Based on Electrostatic Topic. Formula for Electric field due to a point charge.…

Q: A positively charged disk of radius R and total charge Qdisk lies in the xz plane, centered on the y…

Q: -3 of charge are placed on a sypherical conducting shell.A particle with a charge of -4 is placed at…

A: 3 of charge are placed on a sypherical conducting shell.A particle with a charge of -4 is placed at…

Q: Assume a uniformly charged ring of radius R and charge Q produces an electric field E ringat a point…

A: Given that: Q charge is distributed uniformly on a ring and a disk of radius R. To compare the…

Q: Positive charges 5q and q are distance L apart. Let them be on the x-axis with 5q at the origin.…

A: Let us consider the arrangement of the charge as shown in the figure: Let at this arrangement the…

Q: Four point charges (two with q = 3.0 µC and two with q = -3.0 µC are situated at the corners of a…

A: Given that:- Side of square=r=1m

Q: A hollow very long non-conducting cylindrical shell has inner radius R1 and outer radius R2. A very…

A: Given: The inner radius of the cylinder is R1. The outer radius of the cylinder is R2. Introduction:…

Question

100%

Find all image charges for the following configurations of single point charge and infinite conducting planes. The point charge always bisects the angle: