Q1) Given the following charge distributions; 2 pC at P (1,1,1), 2; (y=-3), 5 at (x=1, z=1), and 1 at (x=2), find in Cartesian pC at m m components, the (i) Resulted electrical field intensity at point Q (1,90°,1). (ii) Resulted electrical flux density at point Q (1,90°,1).

Q1) Given the following charge distributions; 2 pC at P (1,1,1), 2; (y=-3), 5 at (x=1, z=1), and 1 at (x=2), find in Cartesian pC at m m components, the (i) Resulted electrical field intensity at point Q (1,90°,1). (ii) Resulted electrical flux density at point Q (1,90°,1).

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

Related questions

Q: In free space, q1 = 3nC and q2 = −4nC charges are placed at y = 1 and y = 6, respectively, on the…

A: electric potential at a given point with respect to the ground potential V = K Q / R Q = electric…

Q: Question 5 The region 0.1 <p< 0.5, z-0 has a surface charge density p, =- -nC/m². (a) Find the…

Q: QS/ A circular ring of radius a (meter) has a non-uniform line charge density pi. = 2 cos 0 C/m on…

A: To find the electric field intensity at the centre of the ring the point (0,0,4)

Q: Q, Find th electic field and charge density at Point P(1,1,1), when the scalar function of the…

Q: 1- A point charge of 12 nC is located at the origin. Four uniform line charges are located in the…

Q: The following charges distributions are present in free space as shown in Figure, point charge 6 nC…

A: Charge: It is electrical property of atomic particle which matter consists. It is carried by…

Q: A point charge 80 pC is located at (4,–1,3) while a line y = 3,z = -3 (100 meter long) carries a…

Q: T:TO_BLU. Q4. The y-axis of the region defined by x=cos(a) and y=sin(2a) in the [-0.5n,0.5n] range…

Q: Problem 4: A point charge Q =D0.4 nC is located at (2, 3, 3) m in Cartesian coordinates. Find the…

A: In this question we will find potential difference due to point charge...

Q: Question 3. (a) The following charge distributions are present in free space: point charge 12 nC at…

A: GIVEN data:

Q: radius rb has charge -Q. The electric field E at a radial distance r from the central axis is given…

A: The expression for E between the two coaxial cylinder is given as: E=αe-ra0+βr+b0 The voltage…

Q: Q2) Evaluate both sides of the divergence theorem to find the total enclosed charge in a spherical…

Q: Consider a charged segment of circular arc with a charge density of (0) = A sin e y 45° 45° Assume…

Q: Two bidirectionally infinite line charges exist in vacuum. One has a charge density of -5 nC/m at x…

A: Given data: First charge density λ=-5 nC/m =-5×10-9 C/m Located point x = 0 , y = -6 Second…

Q: H.W. 9: Spherical surfaces at r = 2, 4, and 6 m carry uniform surface charge densities of 20 nC/m²,…

A: The spherical spheres at r=2,4and 6 carry a uniform surface charge density is shown below:…

Q: Question 3 (a) The following charge distributions are present in free space: point charge 12 nC at…

A: For the given data E at the origin is determined as:-

Q: r2 Two thin concentric spherical shells of radi and r, and r contain uniform surface charge…

A: we will use gauss law to find out electric field intensity. By gauss law , ∫s D.ds = Qenc

Q: A point charge 80 pC is located at (4, –1,3) while a line y = 3, z = -3 (100 meter long) carries a…

Q: Quiz_1) Four point charges Q, 2Q, -Q, -2Q are located at (0,0,a), (0,0,2a), (0,0,-a), and (0,0,-2a)…

A: Take a point charge in the co-ordinate axis (x,y,z) The reference point charge are on the X - axis…

Q: A sphere of radius R1 = 0.280 m and uniform charge density –16.5 µC/m³ lies at the center of a…

Q: Question 3 (a) The following charge distributions are present in free space: point charge 12 nC at…

A: For the above data Electric field at the origin is determined as shown below

Q: Question (a) The following charge distributions are present in free space: point charge 12 nC at…

A: Given: The following charge distributions are present in free space: 1) point charge 12 nC at P(2,…

Q: Three infinite uniform sheets of charge are located in free space as follows: -7 nC

Q: A point charge, Q = 40 nC, is located at the origin in cartesian coordinates. Find the electric flux…

A: In this question, Find the electric flux density D at the point P(-4, 5, -4) We are solving this…

Q: 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…

Q: In empty space there is (-∞, 0) semi-infinite linear uniform and constant charge density ρl = 4 [C /…

A: The electric field due to a wire at a point will have both parallel and perpendicular components .…

Q: 3.10 ! An infinitely long cylindrical dielectric of radius b contains charge within its volume of…

A: We need to find out electric field of given charge distribution

Q: A uniform line charge of 2 µC/m is located on the z axis. Find E in rectangular coordinates at…

A: From the Electrostatic Field Intensity due to infinite line charge

Q: Question 3 (a) The following charge distributions are present in free space: point charge 12 nC at…

A: For the given data E at the origin is determined as

Q: Quiz_1) Four point charges Q, 2Q, -Q. -2Q are located at (0,0,a), (0,0,2a), (0,0,-a), and (0,0,-2a)…

A: Given: Four point charges Q, 2Q, -Q, -2Q are located at (0,0,a), (0,0,2a), (0,0,-a), and (0,0,-2a)…

Q: A point load of Q1 = 1 Coulomb is placed at the point (-1,0,0) on the circle with a radius of 1 unit…

A: Since the point charges Q1 and Q2 are both positive in polarity, to reset the electric field at…

Q: LaTeX: R = 2mR = 2m radius is uniformly distributed over the sphere volume. Accordingly, which of…

A: Charge 5uC and R = 2m radius is uniformly distributed over the sphere volume. which of the following…

Q: A sphere with a radius of 1 relative dielectric constant 0 = 10 has a volumetric charge distribution…

A: Radius of the sphere= 1 Relative dielectric constant= 10

Q: In a Cylindrical coordinates, the volume charge density is given as Pv = sin o C/m³ for the volume 0…

A: Gauss's Law- It states that the total electric field through any closed surface is equal to the…

Q: Example 4.23 : Given a point charge of 200,nE, C at C(3,-1,+2), a line charge of 40 nE, C/m on the…

Q: 1. Assume that you are given two concentric metallic disks that are charged with a radially higher…

Q: A point load of Q1 = 1 Coulomb is placed at the point (-1,0,0) on the circle with a radius of 1 unit…

A: The equation of electric field is given by, E=14πε0Qr2 The electric field due to Q1 at origin is…

Q: Question 3 (a) The following charge distributions are present in free space: point charge 12 nC at…

A: The point charge at (2,0,6) has the charge q = 12 nC. The line charge density at x = -2, y = 3 is…

Q: A point charge QA = 1 µC is at A (0, 0, 1) & QB = -1 µC is at B (0, 0, -1), Find %3D a. E in…

Q: 8.2 A point charge of 12 nC is located at the origin. Four uniform line charges are located in the x…

A: D is calculated using the following data

Q: A hollow sphere of interior radius 3 cm and exterior radius 5 cm contains charge uniformly…

Q: a A N

A: Consider a differential charge dq at distance x from the origin. Since the charge density at each…

Q: (a) Using Gauss’ law, derive an expression for the electric field intensity at any point outside a…

A: Ans- Gauss law :- It states that flux leaving any closed surface is equal to the charge…

Q: Q (6): Two homogeneous dielectrics meet on plane z 0. For z2 0, e-3 and for z0, E=2. A uniform…

A: Homogeneous dielectric A dielectric constant that is not a function of coordinates is called a…

Q: Q5/ A circular ring of radius a (meter) has a non-uniform line charge density p, = 2 cos Ø C/m on…

A: According to question:

Q: Q1: Charges q1 and q2 are located on the x axis, at distances a and b, respectively, from the origin…

A: Total electric field due to both charges is equal to sum of the electric fields due to both charges…

Q: If the volume charge density varies linearly with radius, p= Porla (where po and a are constants)…

A: Given: The volume charge density varies linearly with radius ρ=ρora where ρo and a are constants.…

Q: Por cose c m' a Example/ Within a region of free space, charge density is given as py= where p, and…

A: The uniform charge distribution in a enclosed space system can be represented by applying the gauss…

Q: The following charges distributions are present in free space as shown in Figure, point charge 6 nC…

A: We need to find electric field at origin due to surface charge only for the the given charge…

Concept explainers

Electric field

A physical field present around an electrically charged particle that exerts a force on all other charged particles is called an electric field. The charged particles present in the field either repel or attract. From electric charges or time-varying magnetic fields, the electric field originates. One of the manifestations of electromagnetic force which is one of the four fundamental forces present in nature are the electric fields and magnetic fields.

Question

Q1) Given the following charge distributions; 2 pC at P (1,1,1), 2:
(y=-3), 5 at (x=1, z=1), and 12 at (x=2), find in Cartesian
pC
at
m
m.
components, the
(i) Resulted electrical field intensity at point Q (1,90°,1).
(ii) Resulted electrical flux density at point Q (1,90°,1).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Volume charge density is located in free space as ρν = 2e−100r nC/m3 for 0 < r < 3 mm, and ρν = 0 elsewhere. Find the total charge enclosed by the spherical surface r = 2 mm. By using Gauss’s law, calculate the value of Dr on the surface r = 2 mm.
A finite line charge located at (0, y, 0)m, where a≤y≤b , has a line charge density of ρL = ycosy C/m. Determine the integral that will solve for the electric field at the origin.
In free space, q1 = 3nC and q2 = 4nC charges are placed at 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?
A solid conducting sphere carrying charge q has radius a. It is inside a concentric hollow conducting sphere with inner radius b and outer radius c. The hollow sphere has no net charge. (a) What is the charge on the inner surface of the hollow sphere? On the outer surface? (b) Sketch the electric field lines of the system. (c) Derive expressions for the electric field magnitude and for the electric potential interms of the distance r from the center for the regions r < a, a < r < b, b < r < c, and r > c. (Take the electric potential to vanish at r = ∞.)(d) Graph the magnitude of the electric field and the electric potential as a function of r from r = 0 to r = 2c.
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.
Please write to text format The charge per unit length on the thin rod shown below is ?. What is the electric field at the point P? (Hint: Solve this problem by first considering the electric field dE at P due to a small segment dx of the rod, which contains charge dq = ? dx. Then find the net field by integrating dE over the length of the rod. Use the following as necessary: L, a, ?, and ?0. Enter the magnitude. Assume that ? is positive.) E
A spherical charge of radius 3 cm and a volume charge density given below. How much is the D-field at a distance of 8 cm from the center of the spherical charge and in uC/(m^2) and 3-decimal places? note: PV = 20 mC/m^3
A dielectric sphere has a radius of 5 cm and a total charge of +20μC, its center is located 10 cm to the left of point P as illustrated in the image.8 cm to the right of point P is a very long line of uniform charge with a linear density of + 6.2μC * m-1 With the given data, calculate:(A) The electric field due to the sphere at point P.(B) The electric field due to the line of charge at point P.(C) The net electric field at point P.(D) The electrostatic force (magnitude and direction) that all this configuration would exert on a point particle of +5 μC located at point P.
Calculate the electric field intensity E at M(3, -4, 2) in free space caused by: a. Charge Q1 = 2 µC at P1(0, 0, 0) b. Charge Q2 = 3 µC at P2(-1, 2, 3) c. Charge Q3 = 4 µC at P3(-3, -2, 4) d. The total field intensity of the 3 charges ( please provide complete solutions, thank you )
A sphere of radius R has total charge Q. The volume charge density (C/m3) within the sphere is ρ(r)=C/r2, where C is a constant to be determined. 1. Use Gauss's law to find an expression for the magnitude of the electric field strength E inside the sphere, r≤R, and r>- (more or equal) in terms of Q and R.
A point charge Q1 = 46 nC is located at P1(1,-4, -5) while a charge Q2= 31 nC is located at P2(9, -5,6), both in free space. Find Ex at P3(5, 3, -7).
In the 0<r<1mm cubic region, it is given as ρ_v=2e^(-100r) nC/m^3. In other places, the charge density is given as 0.a) Find the total charge inside the spherical surface r=1mm.b) Calculate the expression Dr on the r=1mm surface using Gauss's law.