A circular ring of charge of radius a lies in the x-y plane and is centered at the origin. Assume also that the ring is in air and carries a uniform density pe. (a) Show that the electrical potential at (0,0,z) is given by V = Pia/[2o(a² +2²)¹/2]. (b) Find the corresponding electric field E.

Q: A charged particle moves with a uniform velocity 4i m/s in a region where E = 20j V/m and magnetic…

A: Given a charged particle moves with, Uniform velocity, v=4i^ ms. At constant velocity, the…

Q: Derive the Ampere's law applied to a long wire, that H will be circular, constant valued at the…

A:

Q: /hat is the electrostitic potential at the point c, with co-ordinates =5 cm, y =20 cm, z =0 cm for…

A: It is given that the co-ordinates of point c is x=5cm, y=20cm, z=0cm.…

Q: 4. A hemisphere in the upper half-plane (R = a,0 ≤ 0 ≤ 1,0 ≤ y ≤ 2π)) has a uniform charge density…

A:

Q: A conducting cylinder of radius 3.5 cm and length 5.6 cm has a total charge of 4.5 x10 ^ -9 C…

A: (a)VSurface=2.4216×10-52π8.85×10-12ln0.03250.0325=0 V

Q: ar C/m² nr² The charge is placed at the origin with electric flux density. D = a, Find the charge.?

A:

Q: (al:Determine E caused by the spherical cloud of electrons with a volume charge density of - 1.68 x…

A:

Q: 1. A cylinder of radius "a" and infinite length contains a uniform volume charge distribution pv…

A: The electrostatic potential on the axis of cylinder is calculated by first writing the expression of…

Q: 1. ELECTRIC FLUX. A rectangular flat surface with sides 0.200 m and 0.500 m is under the influence…

A: We will find out flux leaving the given surface

Q: In the solid sphere (charge throughout the volume) that has a radius of 10cm shown in the figure…

A:

Q: an infinite sheet (y=2) carries a uniform charge of p= 1µc/m² then the electric flux density at…

A:

Q: Two infinite wires are charged uniformly with linear charge density as shown in the figure. What is…

A: We need to find the electric field at point B due to infinite positive charge wire. Electric field…

Q: Two 1.20 m non-conductive wires form a right angle. A segment has +2.50 µC of charge, distributed…

A: Given Data: Q1 = Q2 = 2.5µC  d = a = 60 cm = 0.6 m

Q: Q5. Figure Q4 How does the electrostatic force between two charges is affected when the distance…

A:

Q: Two identical Conducting spheres having unequal opposite charges attract each other with a force of…

A:

Q: Two identical conducting spheres,fixed in a place, attract each other with an electrostatic force of…

A: It is given that electrostatic force of attraction between two identical spheres is 0.108N.And…

Q: the following charge distribution are present in free space : a uniform line charge density 3nC/m at…

A:

Q: A circular arc of charge has a non-uniform linear charge density ^ = Asin(e) where 0 is as shown in…

A: This is  emf question

Q: Figure shows a circuit and a conducting rod. A conducting rod moves with a constant velocity v…

A:

Q: Suppose an Electric Flux Density in the space is given by: D = 6.p.sinp a (C/m²). Determine the…

A: use the maxwell's law to determine the value of the charge density

Q: Two uniform line charge pu=1uC/m, P2=2uC/m located at y-axis and x-axis. Find the total electric…

A: We will find out electric field at given point due given lines

Q: Three point charges are initially infinitely far apart. Then, as figure shows, they are brought…

A: The order in which the charges are put on the triangle does not matter, we begin with the charge of…

Q: Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical…

A: Linear charge density can be calculated using the following relation  λ=Er2k

Spherical Coordinate System

The spherical coordinate system is a three-dimensional coordinate system for space where the position of a point is specified by three numbers- the radial distance of that point from a fixed source, its polar angle measured from a certain zenith, and the azimuth angle. Its orthogonal projection on the reference plane passes through the source and is measured from the direction of constant reference on that plane which is orthogonal to the highest level. It can be viewed as a three-dimensional version of the polar coordinate system.