Question

Two infinitely long parallel wires have a uniform charge per unit length lambda and -lambda respectively. The wires are parallel with the z axis. The positively charged wire intersects the x axis at x = -a. and the negatively charged wire intersects the ,r axis at ,r = +a. (a) Choose the origin as the reference point where the potential is zero, and express the potential at an arbitrary point (x. y) in the xy plane in terms of .v, y, lambda. and a. Use this expression to solve for the potential everywhere 0n the y axis, (b) Using a = 5.00 cm and lambda = 5.00 nC/m. obtain the equation for the equipotential in the xy plane that passes through the point , x =1/4, y = 0

Answer #1

Two long straight wires carry currents perpendicular to the
xy plane. One carries a current of 45 A and passes through
the point x = 5.5 cm on the x axis. The second
wire has a current of 80 A and passes through the point y
= 4.3 cm on the y axis. What is the magnitude of the
resulting magnetic field at the origin?

two long straight wires are in the xy plane and parallel to
the x axis. one wire is at x=10 cm and the other is on the y-axis.
the current in each wire is 1.5 A and are antiparallel. the
magnetic field on the x-axis at x=20 cm is...?

Two infinitely long straight currents are parallel to z axis.
One of them, carrying a current I1, intersects at the x-y plane at
the point (x1, y1); the other, with current I2, intersects at the
x-y plane at the point (x2, y2). Find the resultant B produced by
them at any point (x, y, z).

There are two long parallel wires that have same directions of
currents with a separation 4 m from each other. One wire with a
current of 2 A intersects the origin and the other one with a
current of 4 A intersects the x axis ( horizontal axis) at x = 4 m.
Find the magnitude of the net magnetic field at x= 1 m.

There are two long parallel wires that have same directions of
currents with a separation 4 m from each other. One wire with a
current of 2 A intersects the origin and the other one with a
current of 4 A intersects the x axis ( horizontal axis) at x = 4 m.
Find the magnitude of the net magnetic field at x= -1 m.

Two parallel, uniformly charged, infinitely long wires carry
opposite charges with a linear charge density ? = 2.37
?C/m and are 5.47 cm apart. What is the magnitude of the electric
field at a point midway between them and 51.9 cm above the plane
containing the two wires?

Consider an infinitely long flat sheet of charges of width
2a. It is parallel to the axis y and lies in
(xy) plane in between x=-a and x=+a. The
charges are distributed uniformly, with surface density σ. Find an
expression for the electrostatic field E
at height Z above the midline of the charged sheet (i.e.
above y axis).
Hint: As a starting point, you can use
the formula for infinitely long line of charges.

Two long, parallel, current-carrying wires lie in an
xy-plane. The first wire lies on the line y =
0.310 m and carries a current of 25.5 A in the +x
direction. The second wire lies along the x-axis. The
wires exert attractive forces on each other, and the force per unit
length on each wire is 300 µN/m. What is the
y-value (in m) of the line in the xy-plane where
the total magnetic field is zero?

An infinite sheet of charge that has a surface charge density of
19 nC/m2 lies in the yz plane, passes through the origin, and is at
a potential of 0.7 kV . A long wire having a linear charge density
of 91 nC/m lies parallel to the y axis and intersects the x axis at
(4.2 m, 0, 0). What is the potential energy of a 1.9 nC charge
placed at (1.1 m, 0, 0) ? The value of the...

3) A very long uniform line of charge has charge per unit length
(lambda)1 = 4.72 (Mu)C/m and lies along the x-axis. A second long
uniform line of charge has charge per unit length (lambda)2 = -2.42
(Mu)C/m and is parallel to the x-axis at y1 = 0.400 m .
Part A What is the magnitude of the net electric field at point
y2 = 0.200 m on the y-axis?
Part C What is the magnitude of the net electric...

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