Question 3(a) The following charge distributions are present in free space: point charge 12 nC atP(2,0,6), a uniform line charge density 3 nC/m at x = -2,y = 3 and an infinite uniformsurface charge density 0.2 nC/m2 at x = 2.[1] Find E at the origin.[2] Determine the force acting on a point charge 10 µC placed at the origin.[3] Calculate the total electric flux leaving the surface of a sphere of 2 m radius centred at(2,0,6).(2,0,6)|(-2,3,0)3.

Answered: Image /qna-images/answer/1942dfca-5dd9-43fb-9ae3-349c0bdb7dc6.jpg

Question 3 (a) The following charge distributions are present in free space: point charge 12 nC at P(2,0,6), a uniform line charge density 3 nC/m at x = -2, y = 3 and an infinite uniform surface charge density 0.2 nC/m? at x = 2. [1] Find E at the origin. [2] Determine the force acting on a point charge 10 uC placed at the origin. [3] Calculate the total electric flux leaving the surface of a sphere of 2 m radius centred at (2,0,6). (2,0,6) (2,3,0) 3

Question 3 (a) The following charge distributions are present in free space: point charge 12 nC at P(2,0,6), a uniform line charge density 3 nC/m at x = -2, y = 3 and an infinite uniform surface charge density 0.2 nC/m? at x = 2. [1] Find E at the origin. [2] Determine the force acting on a point charge 10 uC placed at the origin. [3] Calculate the total electric flux leaving the surface of a sphere of 2 m radius centred at (2,0,6). (2,0,6) (2,3,0) 3

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

Two bidirectionally infinite line charges exist in vacuum. One has a charge density of -7 nC/m at x = -3, y = -4, while the other has a charge density of 7 nC/m at y = -1, z = -2. Determine the y-component of the electric field in V/m at (8, 1, 2). All coordinates are measured in meters.
In empty space there is (-∞, 0) semi-infinite linear uniform and constant charge density ρl = 4 [C / m] on the z-axis. Calculate the electrostatic field that this charge density will create at point A (5,0,0). ke = 1 / 4πεWrite numerically the components of the electrostatic field in terms of the given quantities.
Find E at the origin if the following charge distributions are present in free space: point charge, 12 nC at P(2, 0, 6); uniform line charge density, 3nC/m at x =−2, y = 3; uniform surface charge density, 0.2nC/m² at x = 2
An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as (), where ρo, a and b are positive constants and r is the distance from the axis of the cylinder. Use Gauss’s law to determine the magnitude of the electric field at radial distances (a) r < R and (b) r > R
HW: A spherical charge of (pv= 6 C/m3 ) and radius ( 4). Its center is at (1,2,3). Find settings(E) at point (3,-2,4). *note and draw
In free space, q1 = 4nC charges are placed on y = 1 and y = 6, respectively, on the y-axis as shown in the figure. Accordingly, what is the electric potential value at y = 4?
Within the sphere defined by r ≤ 8 cm, the volume charge density is ρv = 6.8 x 10-7 C/m3 . (i) Find an expression for electric field intensity for region r < 8 cm. Hence, calculate the electric field intensity at a point having rectangular coordinates of (x, y, z) = ( 3 cm, 2cm, 0 ). (ii) Assume that all of the electric charge is removed from a spherical region centered at (x, y, z) =(3 cm, 0, 0) and having a radius of 1 cm. Calculate the total electric field intensity at point (x,y,z) = (3 cm, 2 cm, 0).
Electrical Engineering 1. The point charges of +Q at (-1,0), +Q at (1,0), and -2Q at (0,1) lie in a plane where z = 0, respectively. At this time, find the electric flux density at (0,0).
Q (1): Infinite uniform line charges of 2 nC / m lie along the x and y axes in free space. Find E and D at PA (1, 2, 3).
Calculate D in rectangular coordinates at point P(2,-3,6) produce by: (a) a point charge QA=55 mC at Q(-2,3,-6); (b) a uniform line charge ρLB=20mCmρLB=20mCm on the x axis; (c) a uniform surface charge density ρSC=120μCm2ρSC=120μCm2on the plane z=-5m.
A point charge of 10uC is located x = 3, four infinite line charges of ρL = 50uC/cm and ρL = 20 uC/cm are located at x = ± 2 cm and x = ± 4 cm respectivelyand an infinite surface charge of ρS = 15μC/cm2 located at y = 4.5cm, find the totalcharge bounded by a sphere of radius 5cm with its center at the origin.
The electric potential V in a region of space is given by V(x,y,z)=A(x^2−3y^2+z^2)where A is a constant. Derive an expression for the electric field E→ at any point in this region. The work done by the field when a 1.50-μC test charge moves from the point (x,y,z)=(0,0,0.250m) to the origin is measured to be 6.00×10−5J. Determine A. Determine the electric field at the point (0, 0, 0.250 m). Show that in every plane parallel to the xz-plane the equipotential contours are circles.