3. (a) Three infinitely long wires parallel to the z-axis are shown in Fig. 3.1. The currents are: I₁ =10 A (flowing out of the page), I2 = 5 A (flowing out of the page) and 13 = 8 A (flowing into the page). y (m) I. + -1.0 -0.5 1.0 * 0.5+ 0 P 13 + 0 0.5 50 1.0 10 -0.5 + 12 -1.0 x (m) Figure 3.1. (i) Calculate the vectorial magnetic field strength H2 at point P due to current 12 (ignore currents I₁ and 13). (ii) Calculate the vectorial magnetic field strength H1,2,3 at point P due to all three currents I₁, 12 and 13. (iii) Imagine a fourth infinitely long wire (parallel to the z-axis) carrying current 14 = 6 A (flowing out of the page) which has been introduced to cancel the magnetic field at point P you have calculated in part (ii). Calculate the x and y coordinates of this fourth wire.
3. (a) Three infinitely long wires parallel to the z-axis are shown in Fig. 3.1. The currents are: I₁ =10 A (flowing out of the page), I2 = 5 A (flowing out of the page) and 13 = 8 A (flowing into the page). y (m) I. + -1.0 -0.5 1.0 * 0.5+ 0 P 13 + 0 0.5 50 1.0 10 -0.5 + 12 -1.0 x (m) Figure 3.1. (i) Calculate the vectorial magnetic field strength H2 at point P due to current 12 (ignore currents I₁ and 13). (ii) Calculate the vectorial magnetic field strength H1,2,3 at point P due to all three currents I₁, 12 and 13. (iii) Imagine a fourth infinitely long wire (parallel to the z-axis) carrying current 14 = 6 A (flowing out of the page) which has been introduced to cancel the magnetic field at point P you have calculated in part (ii). Calculate the x and y coordinates of this fourth wire.
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.1P: Given the complex numbers A1=630 and A2=4+j5, (a) convert A1 to rectangular form: (b) convert A2 to...
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Transcribed Image Text:3. (a) Three infinitely long wires parallel to the z-axis are shown in Fig. 3.1. The currents are:
I₁ =10 A (flowing out of the page), I2 = 5 A (flowing out of the page) and 13 = 8 A
(flowing into the page).
y (m)
I.
+
-1.0
-0.5
1.0
*
0.5+
0
P
13
+
0
0.5
50
1.0
10
-0.5 +
12
-1.0
x (m)
Figure 3.1.
(i) Calculate the vectorial magnetic field strength H2 at point P due to current 12
(ignore currents I₁ and 13).
(ii) Calculate the vectorial magnetic field strength H1,2,3 at point P due to all three
currents I₁, 12 and 13.
(iii) Imagine a fourth infinitely long wire (parallel to the z-axis) carrying current 14 =
6 A (flowing out of the page) which has been introduced to cancel the magnetic
field at point P you have calculated in part (ii). Calculate the x and y coordinates
of this fourth wire.
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