If the current density in a conducting medium is given by determine the corresponding charge distribution...
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1. The volume current density in a medium is given as I = eBP cospê - In (cosBz)2 A/m². Determine the time rate of change of the volume charge density. (3 points)
In a non-conducting region, the medium is polarized according to the vector P = 2x î + y ^ 2 ĵ - 4z k C / m2. If the relative permittivity of this medium is εr = 2.5, determine (a) the polarization volumetric charge density ρpv at (1,1,2), (b) the polarization surface charge density ρps at (1, 1, -2) on the positive face (x) of the material.
Student name: 10/31/18 Midterm 1 Problem 3: The line segmentx z-0 -3 s y s 1,z 1, carries a linear charge density pu 2T nC/m. Let be a conducting plane and determine the surface charge density at: P(0,0,0).
Student name: 10/31/18 Midterm 1 Problem 3: The line segmentx z-0 -3 s y s 1,z 1, carries a linear charge density pu 2T nC/m. Let be a conducting plane and determine the surface charge density at: P(0,0,0).
Continuity equation for electric charge. Suppose there is a volume current density given by 7-(i)-(sinx,cosx,) a. Calculate dp(x.y.z) b. Is total electric charge conserved? (Hint: Trick question.) ote: p(x,y,z) is the charge density dt
A uniform linear charge distribution of p, charge density lies at x = -b.-b <y <b z=0. a) (3 points) Find the general expression for electric potential, V, at any point on positive x-axis. b) (2 points) Using the result on part a, find the expression for electric field intensity, Ē, at any point on positive x-axis.
E field of a uniform and planar distribution of charge A uniform surface charge density of 5nC/m2 is present in the region x=0, -2<y<2 and all z. if ε=ε0, find E at: a) PA(3,0,0) b) PB(0,3,0).
A conducting sphere of radius a has a charge of Q_1 and a
non-conducting shell of inner radius b and outer radius c has a
charge of Q_2. The volume charge density of the non-conducting
shell is given by ρ and is given to be constant. Determine the
volume charge density ρ of the non-conducting shell. Determine the
electric field in the four regions. (r < a, a ≤ r ≤
b, b ≤ r ≤ c, and r > c). Show all...
dq Given a continuous charge distribution consisting of: A line charge of length L with linear charge density X A semicircular disc of radius R with surface charge density σ 11. The charge distribution is placed along the x-axis as shown in the figure. The linear charge density is uniform, λ Λο where Λ01s a constant, and the surface charge density varies as σ-00*sin (9) where .00 1s a constant over_charge dq Assume the potential of this distribution is zero...
A charge distribution is given by pv=6x2y2 nC/m3. Determine the total charge enclosed by a cube of side 2 m centered at the origin and whose edges are parallel to the axis.
b) Figure Q1(b) describes an infinite sheet of electric surface current density (L=a,JoA /m) directed along the x-axis, and placed on the z=0 plane between free space for the region z < 0 and a dielectric medium for z > 0. It is known from the solution of 'a) above that the electric field intensity excited by this distribution of current is described by E= provided that k,-ω μ,e°, k=0)Ju,e,e'. By imposing boundary conditions as may apply, determine the constants...