X Incorrect.In the figure, four long straight wires are perpendicular to the page, and their cross sections form a square of edge lengtha 16.5 cm. Each wire carries 8.00 A, and the currents are out of the page in wires 1 and 4 and into the page in wires 2 and 3.In unit-vector notation, what is the net magnetic force per meter of wire length on wire 4?2.88e-7-2.88e-7emi UnitsNumberteptXN/m

Question
Asked Nov 4, 2019
X Incorrect.
In the figure, four long straight wires are perpendicular to the page, and their cross sections form a square of edge length
a 16.5 cm. Each wire carries 8.00 A, and the currents are out of the page in wires 1 and 4 and into the page in wires 2 and 3.
In unit-vector notation, what is the net magnetic force per meter of wire length on wire 4?
2.88e-7
-2.88e-7
em
i Units
Number
tept
X
N/m
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X Incorrect. In the figure, four long straight wires are perpendicular to the page, and their cross sections form a square of edge length a 16.5 cm. Each wire carries 8.00 A, and the currents are out of the page in wires 1 and 4 and into the page in wires 2 and 3. In unit-vector notation, what is the net magnetic force per meter of wire length on wire 4? 2.88e-7 -2.88e-7 em i Units Number tept X N/m

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Expert Answer

Step 1

Each wire produces a field with magnitude given by,

В
2Tr
Here Iis the current and ris the distance from the corner of the square to the center
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В 2Tr Here Iis the current and ris the distance from the corner of the square to the center

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Step 2

By Pythagoras theorem, the diagonal of the square has the length a√2.

Then, r= (a√2)./2

Therefore,

4I x2
В -
2л (а/2
д1
(I)
ла
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4I x2 В - 2л (а/2 д1 (I) ла

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Step 3

The magnetic field along all the wires will be the same

That is, B1=B2=B3=B4=B

Substitute th...

47TX10- (8A)
В-.
T (16.5cm2
1.37x10- T
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47TX10- (8A) В-. T (16.5cm2 1.37x10- T

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Magnetic Effects of Current

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