Question

A rectangular pipe, running parallel to the z-axis (from -∞ to
+∞) has three grounded metal sides, at x = 0, x = a, and y = -a.
The fourth side at y = b is at potential V_{0}(y).

Find the general formula for the potential within the pipe and
leave your coefficients as integrals with an integrand that may
depend on V_{0}(y).

Answer #1

Consider two grounded conducting plates, located parallel to
the x-y plane at z = 0 and z =a. A rectangular tube is created by
placing long strips of metal in between the plates, parallel to the
x-z plane at y = -b and y = b. The plate at y = b is held at a
constant negative potential: -V0, while the plate at y =
-b is held at a constant positive potential, V0. Write
down a general solution...

A box consists of five grounded metal plates at x=0,x=a,y=0,y=b
and z=0. The other plate located at z=c is held at a constant
potential V0. Find the potential inside the box.

Three infinite straight wires are fixed in place and aligned
parallel to the z-axis as shown. The wire at (x,y) = (-19 cm, 0)
carries current I1 = 2.9 A in the negative z-direction.
The wire at (x,y) = (19 cm, 0) carries current I2 = 0.5
A in the positive z-direction. The wire at (x,y) = (0, 32.9 cm)
carries current I3 = 6.2 A in the positive
z-direction.
1. What is Bx(0,0), the x-component of the magnetic
field...

Three infinite straight wires are fixed in place and aligned
parallel to the z-axis as shown. The wire at (x,y) = (-17.5 cm, 0)
carries current I1 = 3.2 A in the negative z-direction. The wire at
(x,y) = (17.5 cm, 0) carries current I2 = 1 A in the positive
z-direction. The wire at (x,y) = (0, 30.3 cm) carries current I3 =
7.7 A in the positive z-direction.
1)What is Bx(0,0), the x-component of the magnetic field
produced...

10. A spherical conductor of radius R = 1.5cm carries the charge of
45μ,
(a) What is the charge density (ρ) of the sphere?
(b) Calculate the electric field at a point r = 0.5cm from the
center of the sphere.
(c) What is the electric field on the surface of the sphere?
11. Two capacitors C1 and C2 are in series with a voltage V across
the series combination.
Show that the voltages V1 and V2 across C1 and...

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