Figure 2.33 gives the general Δ -Y transformation. (a) Show that the general transformation reduces to that given in Figure 2.16 for a balanced three-phase load. (b) Determine the impedances of the equivalent Y for the following Δ impedances: Z AB = j 10 , Z BC = j 20 , and Z CA = − j 25 Ω . Z AB = Z A Z B + Z B A C + Z C Z A Z C Z A = Z AB Z CA Z AB + Z BC + Z CA Z BC = Z A Z B + Z B A C + Z C Z A Z A Z B = Z AB Z BC Z AB + Z BC + Z CA Z CA = Z A Z B + Z B A C + Z C Z A Z B Z A = Z CA Z BC Z AB + Z BC + Z CA
Figure 2.33 gives the general Δ -Y transformation. (a) Show that the general transformation reduces to that given in Figure 2.16 for a balanced three-phase load. (b) Determine the impedances of the equivalent Y for the following Δ impedances: Z AB = j 10 , Z BC = j 20 , and Z CA = − j 25 Ω . Z AB = Z A Z B + Z B A C + Z C Z A Z C Z A = Z AB Z CA Z AB + Z BC + Z CA Z BC = Z A Z B + Z B A C + Z C Z A Z A Z B = Z AB Z BC Z AB + Z BC + Z CA Z CA = Z A Z B + Z B A C + Z C Z A Z B Z A = Z CA Z BC Z AB + Z BC + Z CA
Figure 2.33 gives the general
Δ
-Y transformation. (a) Show that the general transformation reduces to that given in Figure 2.16 for a balanced three-phase load. (b) Determine the impedances of the equivalent Y for the following
Δ
impedances:
Z
AB
=
j
10
,
Z
BC
=
j
20
, and
Z
CA
=
−
j
25
Ω
.
Z
AB
=
Z
A
Z
B
+
Z
B
A
C
+
Z
C
Z
A
Z
C
Z
A
=
Z
AB
Z
CA
Z
AB
+
Z
BC
+
Z
CA
Z
BC
=
Z
A
Z
B
+
Z
B
A
C
+
Z
C
Z
A
Z
A
Z
B
=
Z
AB
Z
BC
Z
AB
+
Z
BC
+
Z
CA
Z
CA
=
Z
A
Z
B
+
Z
B
A
C
+
Z
C
Z
A
Z
B
Z
A
=
Z
CA
Z
BC
Z
AB
+
Z
BC
+
Z
CA
"I need an expert solution with detailed steps for
integration."
The normalized Far-field pattern of an antenna is given by:
E = √√sine (cosq)
Determine:
1) Beam solid angle
2) Exact Directivity
0≤0≤ 180, while 0≤≤180, and 270 ≤≤ 360
3) HPBW in both azimuth and elevation
"I need an expert solution with detailed steps for
integration."
Find Directivity, the effect aperture and aperture efficiency of the antenna, if it has physical
aperture of 2.4 x 10-2-2 and the radiation intensity can be approximated by:
U(0, 4) = (sesce
0°s0<20°
20°ses600
1.0°≤≤ 360°
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