Question

[20 Points] Four very long straight wires located on the corners of a rectangle of width a = 2 [m] and length b = 10 [m]. Point A is located at the center of the rectangle, as shown in the figure. • Wire-1 is carrying a current $I_1$ = 3 [A] directed into the page. • Wire-2 is carrying a current $I_2$ = 10 [A] directed into the page. • Wire-3 is carrying a current $I_3$ = 4 [A] directed out of the page. • Wire-4 is carrying a current $I_4$ = 7 [A] directed out of the page. Wire-1 8 Wire-4 a b Wire-2 Wire-3 a) (4 Points] Find the magnetic field vector created by wire-1 at point A. $\vec{B}_1$ = $\hat{i}$ + $\hat{j}$ [T] b) [4 Points] Find the magnetic field vector created by wire-2 at point A. $\vec{B}_2$ = $\hat{i}$ + $\hat{j}$ [T] c) [4 Points] Find the magnetic field vector created by wire-3 at point A. $\vec{B}_3$ = $\hat{i}$ + $\hat{j}$ [T] d) (4 Points] Find the magnetic field vector created by wire-4 at point A. $\vec{B}_4$ = $\hat{i}$ + $\hat{j}$ [T] e) [4 Points] Find the net magnetic field vector created by the 4 wires at point A. $\vec{B}_{net}$ = $\hat{i}$ + $\hat{j}$ [T]

          [20 Points] Four very long straight wires located on the corners of a rectangle of width
a = 2 [m] and length b = 10 [m]. Point A is located at the center of the rectangle, as
shown in the figure.
• Wire-1 is carrying a current $I_1$ = 3 [A] directed into the page.
• Wire-2 is carrying a current $I_2$ = 10 [A] directed into the page.
• Wire-3 is carrying a current $I_3$ = 4 [A] directed out of the page.
• Wire-4 is carrying a current $I_4$ = 7 [A] directed out of the page.
Wire-1
8
Wire-4
a
b
Wire-2
Wire-3
a) (4 Points] Find the magnetic field vector created by wire-1 at point A.
$\vec{B}_1$ = ____$\hat{i}$ + ____$\hat{j}$ [T]
b) [4 Points] Find the magnetic field vector created by wire-2 at point A.
$\vec{B}_2$ = ____$\hat{i}$ + ____$\hat{j}$ [T]
c) [4 Points] Find the magnetic field vector created by wire-3 at point A.
$\vec{B}_3$ = ____$\hat{i}$ + ____$\hat{j}$ [T]
d) (4 Points] Find the magnetic field vector created by wire-4 at point A.
$\vec{B}_4$ = ____$\hat{i}$ + ____$\hat{j}$ [T]
e) [4 Points] Find the net magnetic field vector created by the 4 wires at point A.
$\vec{B}_{net}$ = ____$\hat{i}$ + ____$\hat{j}$ [T]

[20 Points] Four very long straight wires located on the corners of a rectangle of width
a = 2 [m] and length b = 10 [m]. Point A is located at the center of the rectangle, as
shown in the figure.
• Wire-1 is carrying a current I1 = 3 [A] directed into the page.
• Wire-2 is carrying a current I2 = 10 [A] directed into the page.
• Wire-3 is carrying a current I3 = 4 [A] directed out of the page.
• Wire-4 is carrying a current I4 = 7 [A] directed out of the page.
Wire-1
8
Wire-4
a
b
Wire-2
Wire-3
a) (4 Points] Find the magnetic field vector created by wire-1 at point A.
B⃗1 = î + ĵ [T]
b) [4 Points] Find the magnetic field vector created by wire-2 at point A.
B⃗2 = î + ĵ [T]
c) [4 Points] Find the magnetic field vector created by wire-3 at point A.
B⃗3 = î + ĵ [T]
d) (4 Points] Find the magnetic field vector created by wire-4 at point A.
B⃗4 = î + ĵ [T]
e) [4 Points] Find the net magnetic field vector created by the 4 wires at point A.
B⃗net = î + ĵ [T]

Added by Miranda H.

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