3. (a) Three infinitely long wires parallel to the z-axis are shown in Fig. 3.1. The currents are I₁ =2A (flowing out of the page), I2 = 2 A (flowing out of the page), and 13 = 2 A (flowing into the page). -1.0 -0.5 1.0 0.5 0 -0.5 y (m) P -1.0 O ® 13 0 0.5 1.0 12 x r (m) Figure 3.1. (i) Calculate the vectorial magnetic field strength H₁ at point P due to current I₁ (ignore currents 12 and 13). (ii) Calculate the vectorial magnetic field strength H₁,2,3 at point P due to all three currents 1, 2 and 13. (iii) Imagine a fourth infinitely long wire (parallel to the z-axis) carrying current I₁ = 3 A (flowing out of the page) which has been introduced to cancel the magnetic field at point P you have calculated in part (iii). 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 =2A (flowing out of the page), I2 = 2 A (flowing out of the page), and 13 = 2 A (flowing into the page). -1.0 -0.5 1.0 0.5 0 -0.5 y (m) P -1.0 O ® 13 0 0.5 1.0 12 x r (m) Figure 3.1. (i) Calculate the vectorial magnetic field strength H₁ at point P due to current I₁ (ignore currents 12 and 13). (ii) Calculate the vectorial magnetic field strength H₁,2,3 at point P due to all three currents 1, 2 and 13. (iii) Imagine a fourth infinitely long wire (parallel to the z-axis) carrying current I₁ = 3 A (flowing out of the page) which has been introduced to cancel the magnetic field at point P you have calculated in part (iii). Calculate the x and y coordinates of this fourth wire.
Chapter3: Magnetic Starters
Section: Chapter Questions
Problem 30SQ
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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 =2A (flowing out of the page), I2 = 2 A (flowing out of the page), and 13 = 2 A
(flowing into the page).
-1.0
-0.5
1.0
0.5
0
-0.5
y (m)
P
-1.0 O
®
13
0
0.5
1.0
12
x
r (m)
Figure 3.1.
(i) Calculate the vectorial magnetic field strength H₁ at point P due to current I₁
(ignore currents 12 and 13).
(ii) Calculate the vectorial magnetic field strength H₁,2,3 at point P due to all three
currents 1, 2 and 13.
(iii) Imagine a fourth infinitely long wire (parallel to the z-axis) carrying current I₁ =
3 A (flowing out of the page) which has been introduced to cancel the magnetic
field at point P you have calculated in part (iii). Calculate the x and y coordinates
of this fourth wire.
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