Question

1.Planes x = 0 and x = 4 carry current K = -10 ̂az A/m and K = 10 az A/m, respectively. Determine H at (a) (1, 1, 1) (b) (0, - 3, 10) (c) (-1, -1, -1) (d) (7, 1, 0)

2.. A current distribution gives rise to the vector magnetic
potential A =
Z^{2}Yax+X^{2}Y^{2}Z^{2}ay-8XYZ^{2}az
Wb/m. Calculate (a) B at (1, -2, 5) (b) The flux through the
surface defined by x = 1, 0 <= y<=
5, 0 <= z <=
4.

Answer #1

Let S be the surface z = m + x^2 + y^2 above the rectangle [0,
3] x [0, 4].
Compute the flux of the vector field F(x, y, z) = 4 x i + 2 y j
+ 4 z k across S.
Your answer should be an exact expression.
Please help me I need this ASAP

A long straight wire carries a current of 5.00 A along the
x axis in the positive x direction. In addition
to the magnetic field produced by the current carrying wire, there
is a uniform magnetic field
B0 = (2.90 ✕ 10−6 T
k).
Determine the total magnetic field (in VECTOR NOTATION) at the
following points in the yz plane.
(a) Point 1: y = 0.200 m, z = 0
(b) Point 2: y = 0, z = 0.200 m...

QUESTION 5
1. A 0.45 m metal pole moves 0.11 m in a direction that is
perpendicular to a 0.80 T magnetic field in a time of 0.036 s.
Assuming the club acceleration is zero, determine the "emf" on the
club.
a. 0.27 V
b. 9.1 x 10 ^ -5 V
c. 0.076 V
d. You cannot determine without knowing the orientation of the
club relative to the magnetic field
e. 1.1 V
QUESTION 6
1. The units for "fem"...

A 1000 turns solenoid,
1 m long and 1 cm in diameter, carries a current of 500 A. The
magnetic flux through a cross-section of the solenoid is :
A.
50 μWb
B.
1 Wb
C.
471 T
D.
29 H
E.
None of the above

Evaluate the outward flux ∫∫S(F·n)dS of the vector
fieldF=yz(x^2+y^2)i−xz(x^2+y^2)j+z^2(x^2+y^2)k, where S is the
surface of the region bounded by the hyperboloid x^2+y^2−z^2= 1,
and the planes z=−1 and z= 2.

The plane surface at y=0 (the x-z plane) has a uniform surface
current in the z (k) direction. Think of a thin sheet of water
flowing in the z direction along some a surface at y=0. Answer the
following T/F questions. Use ideas of symmetry and recall that the
magnetic field at a point is perpendicular to the current causing
it and perpendicular to the line from the current element causing
the field to the point where it is evaluated....

A function f”R n × R m → R is bilinear if for all x, y ∈ R n and
all w, z ∈ R m, and all a ∈ R: • f(x + ay, z) = f(x, z) + af(y, z)
• f(x, w + az) = f(x, w) + af(x, z) (a) Prove that if f is
bilinear, then (0.1) lim (h,k)→(0,0) |f(h, k)| |(h, k)| = 0. (b)
Prove that Df(a, b) · (h, k) = f(a,...

Consider a two-dimensional potential problem for a region
bounded by four planes x=0, y=0, and y=1. There are no charges
inside the bounded region. The boundaries at x=0, x=1, and y=0 are
held at zero potential. The potential at the boundary y=1 is given
by V(x,1)=V0sin(pi*x)
a.) find the electrostatic potential V(x,y) everywhere inside
this region by solving the Laplace equation in two dimensions using
the method of separation of variables.
b.) Calculate the surface charge density on the boundary...

2. Consider the plane with a normal vector 〈−9, 18, 18〉 which
contains the point (0, 1, −5), and the plane containing the lines
l1 and l2 where l1 is parametrically defined by x = 4 − 2m, y = m +
1, and z = 1 − 2m, and l2 is parametrically defined by x = 4 + 4n,
y = 2 + n, and z = n − 1. Determine whether the planes are
parallel, orthogonal, or neither.

1.
A rectangular loop of wire with sides 0.142 and 0.528 m lies in
a plane perpendicular to a constant magnetic field (see part
a of the drawing). The magnetic field has a magnitude of
0.604 T and is directed parallel to the normal of the loop's
surface. In a time of 0.104 s, one-half of the loop is then folded
back onto the other half, as indicated in part b of the
drawing. Determine the magnitude of the average...

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