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Electromagnatics In a certain region, D 420 nC/m2 and ε-5.2e0. Find Xo E, and P. 5.15
(a) The electric field in a certain region is E = (-4,0 ) NC Determine the electric flux due to this field through an area represented by the vector A = 4.8-5.0k) m2 (b) Determine the flux due to the same electric field when the surface orientation has changed such that the area is now represented by the vector A = (4.8↑-5.0j) m2. N m2/c
a) In a certain region, u 5 sin 210 t a, A/m. Find the rate of change of flux over the surface of 20 m2 2Ho, 3E0, the magnetic field intensity is given as H = E= b) In a certain region, J (za-4yaytxa) Find py if pv (x, 0, z, t) 0 cos wt A/m2 Solution:
6. In a certain region for which o = 0,4 - Ho, E = 2ey and the current density is: J = 60 sin(10't - Bz) az, mA/m2 a) find D and H. Et 0 H. ER b) determine B. DE
Given that D=2x(1+z2)ax+2x2zaz nC/m2, (a) find pv and evaluate the answer at the Cartesian point (3,4,-5)
In a certain region of space, the charge density is given in cylindrical coordinates by the function p=20*r*e^(-r). Apply gauss's law to find D
(a) The electric field in a certain region is E = (-4.0k) N/C. Determine the electric flux due to this field through an area represented by the vector A = (3.41 – 5.4K) m2. N- m²/c (b) Determine the flux due to the same electric field when the surface orientation has changed such that the area is now represented by the vector A = (3.4 - 5.49) m2. Nm2/C
Let f : [a, b] → R and xo e (a,b). Assume that f is continuous on [a,b] \{x0} and lim x approaches too x0 f(x) = L (L is finite) exists. Show that f is Riemann integrable. 1. (20 pts) Let f : [a, b] R and to € (a,b). Assume that f is continuous on [a, b]\{ro} and limz-ro f (x) = L (L is finite) exists. Show that f is Riemann integrable. Hint: We split it into...
I need to answer a, c, and d 1. Find the limit at xo if it exists. (a) f(x, y) = xy/(x2 + y2), Xo = el + e2 (b) f(x, y) = xy/(x2 + y2), Xo = (0,0). (c) f(x) = (1-cos x)/x2, X,-0. [Hint: limx-o (sin x)/x = 1 .] (d) f(x)-|x-2le, + lx + 2le_, xo = 3. (e) f(x, y) = ye, + (xy)리[(xy)2 + (x-y)2je2, Xo = (0,0). At which points is each of these...
Consider the following hypotheses: H0: μ ≤ 420 HA: μ > 420 Find the p-value for this test based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table) a. x¯ = 430; s = 41; n = 13 p-value 0.10 0.05 p-value < 0.10 0.025 p-value < 0.05 0.01 p-value < 0.025 p-value < 0.01 b. x¯ = 430; s = 41; n = 26 0.025 p-value < 0.05...
Over a certain region of space, the electric potential is V- 2x - 5x2y2yz2 Find the expression for the x component of the electric field over this region (Use the following as necessary: x, y, and z.) Find the expression for the y component of the electric field over this region Find the expression for the z component of the electric field over this region. What is the magnitude of the field at the point P, which has coordinates (2,...