Transcribed Text
QIB) Given two waves characterized by
yl(t) 2cos( cot 40°
y2(t) 3sin( +60°
y3(t) 5sin( o 10°),
Find the following
a) Does or lag y1(t) and by what phase angle?
b) Does lag y3(t) and by what phase angle?
c) Does y1(t) and by what phase angle?
Q2A) The voltage of an electromagnetic wave traveling on a transmission line is given by
b (y,t) Ae ay sin(4 <106 80x (V), where is the distance in meters from the generator
(a) Find the frequency, wavelength and phase velocity of the wave
(b) Aty m and ==ms,and A=20 the wave was measured to be 10V. Find a
and the direction of wave propagation
Q2B) Complex numbers zl and z2 are given by
Z1 30+j40
Z2' 50260
(a) Determine the sum Z1 in polar form
(b) Determine the product Z1 Z2* in rectangular form
(c) Determine the ratio Z1/Z2 in polar form
(d) Determine the ratio Z1*/22* in rectangular form
Q3 The voltage source showni Fig below is given by
expression voltage Vo(t)
Let R 49, L4mH,
L
.
+
Vs(t)
R
c

Q4)A two wire line 0.505
G'=0,
and
8(pF/m).
(a)
constant(@)=
(c) phase
characteristie Impedance (Zo)
Q5A)Use the appropriate expression for differential surface arca ds to determine the arca of
each fthe following surfaces:
a) 35r56; a/3 ;45254
b) R=4;
Q5B) Find the volume described by, 00R<4
Q6 A)A sphere of radius 30 cm contains volume charge density 9.= sin (C/m³)
Find the charge Q contained the sphere, where0 <6 9Q6B) Given E(R,8, ©) R²cos 6 find the divergence
Q7) Find the total electric field point P=(2. 3) of the coordinates system due to
the three charges, ql= 4uC and q2= 5uC. The three charges are located free
space at these positions (1. 2) and (2. 3)respectively
Q8)1 Cartesian system a8 m long straight wire carrying current of 1 A in the
ydirection d located aix 20em 30em and 4sys4m.IfB 82x+93y+252
(tesla), what the magnetic force acting wire?
+/
8m
.
y,
infinitely long, parallel wires both carrying 10A current in the same directions
n
12
Point 8
c)
Point C
75cm
:
20cm
30cm
100cm
below Find the magnitude and the direction of B point
Hint use and sin(02)
a)If
:
b) the length
Radius (a)
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