In: Electrical Engineering

A current filament carrying 8A in the z a direction
lies along the entire z-axis in free space.

A rectangular loop connecting A (0, 0.2, 0) to B (0, 0.2, 0.3) to C
(0, 0.7, 0.3) to D (0, 0.7,

0) to A lies in the x = 0 plane. The loop current is 3 mA and it
flows in the z a direction in

the AB segment. Find the force on the loop due to the field of the
straight filament.

A filament conductor conducts current I in the −az direction and
extends along the entire positive z axis. At origin, it is
connected to a conductive blade that forms the xy plane. (a)
Determine K on the conductive blade. (b) Use Ampère's circuital law
to find H for z> 0. (c) Determine H for z <0.

A wire lies along the z axis and carries current
I = 23 A in the positive z direction. A small
conducting sphere of radius R = 2 cm is initially at rest
on the y axis at a distance h = 49 m above the
wire. The sphere is dropped at time t = 0. Assume that the
only magnetic field is that produced by the wire.
(a) What is the electric field at the center of the sphere...

when the current[ =Ⅰ ] flowing through the wire in the direction
of the z-axis, magnetic vector potential is
following that
A =
ez[μⅠ*ln(1/ρ)/2π]
show that magnetic field B is same as
B =
eφ[μI/2πρ]

A short section of coaxial cable consists of a line current
along the z-axis from z = -L to z = L carrying current ?0?̂
surrounded by a hollow cylindrical shell (centered on the z-axis,
top at z = L , bottom at z = -L) carrying a surface current ?⃗⃗ =
?0 (−?̂). Radius R
a. Find an expression for the magnetic field at an arbitrary
point (x, y, z)
b. Draw a qualitative graph of the magnetic field...

A positive charge is moving along the x-axis in the positive
direction. What is the direction of the magnetic field on the
y-axis?
A long straight wire lies along the y-axis carrying current in
the positive y direction.What is the direction of the magnetic
field at x = 3m, y = 3 m? What is the direction of the
magnetic field at x = -3m, y = 3 m?
A wire extends from x = - ∞ to x = 0...

A robot moves in rectilinear motion along the ? axis to the
positive ? direction. The motion starts
from rest at x = 0 at time t = 0. During the time interval 0 … 6 s
the acceleration of the robot is (in
units of m/s2, when t is in seconds)
a(t)=2t, when t=0...2s
a(t)=-t+6, when t=2...6s
Give the corresponding expressions for a) the velocity v(t) and
b) the position x(t) of the robot as functions of time in...

A meterstick lies along the optical axis of a convex mirror of
focal length -48 cm, with its nearest end 85 cm from the mirror.
How long is the image of the meterstick?

A long straight cable of radius a = 0.100 m lies along the
x-axis. Inside the cable the current density is constant and has
magnitude J = 5.00 ( Ampere m-2 ). The current density
is directed along the + x direction. Let s be cylindrical
radius.
i. What is the current running through the cable between radius
0 and s?
ii. What is the magnetic field as a function of s inside the
cable?
iii. What is the total...

A wheel is rotating about an axis that is in the z-direction.
The angular velocity ωz is -6.00 rad/s at t = 0, increases linearly
with time, and is +4.00 rad/s at t = 19.0 s . We have taken
counterclockwise rotation to be positive.
How long is the time interval during which the speed of the
wheel is increasing?

What is the direction of the magnetic field of a straight,
current-carrying wire?

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