4.22 Given the electric flux density D = 82(x + y) + ŷ(3x – 2y) (C/m²) determine (a) p, by applying Eq. (4.26). (b) The total charge Q enclosed in a cube 2 m on a side, located in the first octant with three of its sides coincident with the x-, y-, and z axes and one of its corners at the origin.

Q: With reference to Fig. 4-19, E, = £3 – §2 + 2, 6, = 2€2, €z = 18€g, and the boundary has a surface…

A: We need to find out electric field and angle for given field

Q: D4. ( In free space, two spherical surfaces at r = 1 and r 2 carrying surface charge densities…

A:

Q: A point charge of 20 nC 1s located at (4, -1, -3), and a uniform Ime charge of -25 nC/m lies along…

A: (a) The coordinates of the intersection of the plane are,  x=-4z=6=(-4, 1, 6) The total flux density…

Q: Four point charges Q1 =1nc at (4,2,0), Q2=2nc at (-4,2,0), Q3=3nc at(4,-2,0), Q=4nc at(-4,-2,0).…

A:

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

A:

Q: Q4) let V (cos 20)/r in free space; find the volume charge density at point. A(0.5,60°,1).

A: In this question we will find volume charge density from potential....

Q: Calculate the volume charge density ' p,' at a point P in free space if V = -6x³ - 7y² + 8z4 %3D at…

A:

Q: Given a surface charge of 2nC/m2 at y=3 and 3nC/m2 at y=4. Find the Electric Field at P(4,-6,7)

A:

Q: Two bidirectionally infinite line charges exist in vacuum. One has a charge density of -7 nC/m at x…

A:

Q: D4.6. If we take the zero reference for potential at infinity, find the potential at (0, 0, 2)…

A:

Q: Given a line charge density of g=nuc/m at (2,3,0) in a, direction . Find the Electric Field on point…

A: In this question,  We need to calculate the electric field on the point P due to line charge?…

Q: An infinite uniform line charge with a linear charge of -11 n C/m presented in x=-3, y=-4 and an…

A: According to the question we have to find the total charge enclosed with a spherical surface.

Q: A uniform line charge density of 5 nC/m is at y = 0, Z = 2m in frees pace, while -5 nC/m is located…

A:

Q: *4.34 Find the electric potential V at a location a distance b from the origin in the x-y plane due…

A: Electric potential

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

A:

Q: Question 14 If D = 5p2 a, nC/m2 find the total charge enclosed by the cylindrical closed surface p=…

A:

Q: 1)A ring of radius R carries a uniformly distributed positive total charge Q. Calculate the electric…

A: Electric field at a point P on the circumference of the ring due to rod,

Q: A uniform sheet charge, infinite in extent, is located at x=2 m. Given that the charge density is 5…

A: charge density =  5 nC/m^2 at x= 2 E at origin = ?

Q: An infinitely long insulating cylinder has a volume charge density given by p=a,- where is the…

A:

Q: A line charge p = 4nE. C/m is located along the x-axis. Determine the potential difference VAB in…

A: We need to find out potential difference .

Q: 4.) Point charges of 50 nC each are located at A(1,0,0), B( -1, 0, 0), C(0,1,0), and D(0, - 1, 0) in…

A: As per the guidelines, we supposed to answer one question at a time so please ask other question…

Q: A cube is defined by 1 < x, y, z < 1.2. If D = 2x²ya, +3x²y²a, C/m². (a) Apply Gauss's law to find…

A: Given data, D=2x2yax+3x2y2ay C/m2 a) Gauss law in integrated form, ψnet=∮sD¯.ds¯=Qenc. We assume…

Q: (1) There is a line of charge with uniform charge density, = +9.18 × 10-ºC/m centered at the origin…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: ctrostatic field is given by E = (x/2 + 2y)a, + 2xa, (V/m). Find the work done in moving a charge Q…

A:

Q: 47. Two very thin, infinitely large sheets of charge have equal and opposite uniform charge…

A: The electric filed generated by the single infinite long plane sheet is, Imagine a Gaussian surface…

Q: A long current carrying pipe consists of two conducting layers. The first layer has an inner radius…

A: Given: A long current carrying pipe consists of two conducting layers. The first layer has an inner…

Q: Find E at the origin if the following charge distributions are present in fiee space: point charge,…

A:

Q: A uniform sheet charge, infinite in extent, is located at x=2 m. Given that the charge density is 5…

A: In  this question, A uniform sheet charge, infinite in extent, is located at x=2 m. the charge…

Q: 4.20 In a certain region, the electric field is given by D = 2p(z + 1)cos o a, – p(z + 1)sin o as +…

A:

Q: A uniform volume charge distribution Pv=3  (nC/m3) exists in a sphere that has a radius of 3 cm.…

A:

Q: Q3 Three point charges of 4nC each are located at A(3,3,3), B(-3,-3,-3) and C(0,0,5) in free space.…

A: In this question,  We need to total electric force and electric filed density at the point C.  We…

Q: Determine the electric flux density D and its magnitude at (4, 0, 0) in Cartesian coordinate system…

A: We need to find out the electric field due  to line and surface at given point .

Q: Four point charges Q1 =1nc at (4,2,0), Q2=2nc at (-4,2,0), Q3=3nc at(4,-2,0), Q4=4nc at(-4,-2,0).…

A: Given  Q1= 1nC at (4,2,0) Q2 = 2nC at (-4,2,0) Q3 = 3nC at (4,-2,0) Q4 = 4nC at (-4,-2,0) Let us…

Q: Hayt (9th edition): Problem 4.25 Consider an electric field in free space that exhibits a Gaussian…

A:

Q: The dielectric constant of the region between two nested cylinders as shown E-4Ee filled with…

A:

Q: H.W: Two point charges ,( Q1= 4 µC) at ( 1,-2 ,3) and (Q2 = 6 µC) at (-2, 3,-4). Find (D) at point (…

A:

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: Q/ Point charges of 50nC each are located at A(1, 0, 0), B(-1, 0, 0), C(0, 1, 0), and D(0,-1, 0) in…

A: In this question we have given point charges located at 4 points....We have to find out total force…

Q: Uniform line charge density of 5 nC/m is at y-0, z-2m in free-space while-5 nC/m is located at y 0,…

A: Given the Uniform line charge density at different different location.  Find the electric field at…

Q: Example 4.15: Given the potential field, V = 2x²y - 5z, and a point P(-4, 3, 6), find several…

A: Given data, The potential field,V = 2x2y-5z at point P(-4,3,6)

Q: EX- Lot D= 20rar う @ What is the volume charge density (fv) at the point plo.5,60, 2)? . BUse two…

A: (a) Write the expression for the electric field density and then calculate its divergence.…

Q: Consider a point charge 4Q is located at the origin. Divergence of the electric flux density…

A: Given, A point charge is located at origin is Q = 4 coulomb

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

A: We need to find out electric field at origin due to point charge only.

Q: D4.6. If we take the zero reference for potential at infinity, find the potential at (0, 0, 2)…

A: Given data  Linear charge density ρL=12nC/m  The given location is ρ=2.5m  z=0

Q: Problem 1: Given the electric field E = 2xa_ -4ya (V/m), find the work done in moving a point charge…

A:

Q: Two bidirectionally infinite line charges exist in vacuum. One has a charge density of -9 nC/m at x…

A: The given data are, λ1=-9 nC/m at -9,-4,z. λ2=6 nC/m at x,-9,-8. The expression of the electric…

Q: Q4) Assume a 2 V conductor wire with a 3 cm diameter is embedded in silica with a relative…

A:

Q: Q2. Consider two concentric spherical shells of radii a and b. Suppose the inner one carries a…

A:

KVL and KCL

KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.

Sign Convention

Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.