in a rectangular wave guide for which a = 1.5cm b=0.8cm o=0,m
=m0 and E=4e0 Hz=...
in a rectangular wave guide for which a = 1.5cm b=0.8cm o=0,m
=m0 and E=4e0 Hz= 2 sin (pi x /a) cos (3piy/b) sin (pi x 10^11 t
-bz)a/m. assume TE13 determine of the field components for this
mode.
A hollow waveguide has dimensions a = 1.5cm and b = 0.8cm. the
guide is operating in TE10 mode. The operating frequency (f) is
12GHz. If the component in z for the magnetic field is given
by:
H_z = 5 * cos? ((?/a) x) *cos? (wt-?z)
a) Determine expressions in the time domain of the transverse
electric fields (Ex, Ey). substitute any variable in the expression
with its values (i.e. ?, ?, k_c, a, b, etc.).
b) Determine the maximum...
Let's consider a rectangular wave guide with dimensions of ? =
1.58 cm and ? = 0.79 cm, filled with air inside and copper
outside.
a) Calculate the cutoff frequency for the first three advancing
modes. Specify the name of the
dominant (basic) mode.
b) Draw roughly the electric field and magnetic field lines in
the waveguide sections (sections taken from the xy, yz and xz
planes) for the basic mode. For drawing, consider that the
waveguide extends in the...
In a location where the speed of sound is 332 m/s, a 2,000 Hz
sound wave impinges on two slits 30 cm apart.
(a) At what angle is the first-order maximum located?
°
(b) If the sound wave is replaced by 4.60 cm microwaves, what slit
separation gives the same angle for the first-order maximum?
cm
(c) If the slit separation is 1.00 μm, what frequency of
light gives the same first-order maximum angle?
Hz
A sound wave has a propagation speed of 349 m/s, a frequency
1026 Hz, and has a maximum displacement of ym=
3.02x10-7 m. At time t= 0, and x= 0, the displacement is
ym = 1.00x10-7 m.
(a) Using these values, find an equation of form:
y(x,t) =
ym sin(kx - ωt + ϕ)
(b) Differentiate the expression and find the maximum speed of
the oscillating air molecules.
(c) Find the maximum magnitude of acceleration of the...
A thin, rectangular sheet of metal has mass M and sides of
length a and b. Find the moment of inertia of this sheet about an
axis that lies in the plane of the plate, passes through the center
of the plate, and is parallel to the side with length b. Express
your answer in terms of some or all of the variables M, a, and
b
Find the moment of inertia of the plate for an axis that lies...
Prove the language of strings over {a, b} of the form (b^m)(a^n)
, 0 ≤ m < n-2 isn’t regular.
(I'm using the ^ notation but your free to make yours
bman instead of (b^m)(a^n) )
Use the pumping lemma for regular languages.
In a rectangular waveguide for which a = 1.5 cm, b = 0.8 cm, ? =
0, ? = ?o and ? = 4?o Hx = 2 sin
(?x/a) cos (3?y/b) sin (? x 1011t – ?z) A/m. Assume
TE13, determine other field components for this
mode.
A rectangular channel of bottom width B = 7 m carries an average
discharge of Q = 8 m3/s. There are two successive long
reaches. The first reach has s01=0.015 and
n1=0.010; and the second reach has s02=0.0017
and n2=0.021. Classify the slopes.