29. What are the magnetic field strength and direction at points 1, 2, and 3 in…
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Question “29. What are the magnetic field strength and direction at points 1, 2, and 3 in…”
29. What are the magnetic field strength and direction at points 1, 2, and 3 in the figure shown? 1. 2.0 cm 10 A 2. 4.0 cm 10 A 2.0 cm 3-
Answer
i) Point 1 Magnetic Field due to the top-wire,
Bt = ( o* I) / (2 * R), out of the page
is the vacuum permeability, I is current, and 2 cm is the distance.
Magnetic field caused by the bottom wire
Bb = (
o* I) / (2
_ 3r), into page
Total magnetic field = Bt + bb
= (
o* I)/ (2
* r)- (
o* I)/ (2
* 3r) [outer page direction is considered as positive]
= (
o * I) / (2
* r) [1 – 1/3]
Substituting values,
B = [4
*10 -7* 10]/ [2
* 2 *10 -2]
= 6.67 *10 -5T, out of the webpage.
——————————————————
iii) Point 2.
Magnetic field caused by the top wire
Bt = ( o* I) / (2 * R), into the page
Magnetic field caused by the bottom wire
Bb = ( o* I) / (2 * R), into the page
Total magnetic field = Bt + bb
= (
o * I) / (2
* r) + (
o * I) / (2
* r)
= (
o * I) / (2
* r) * 2
Substituting values,
B = [4
*10 -7* 10]/ [2
* 2 * 10 [2]
20 * 10 5 T into the page.
——————————————————–
Point 3
Magnetic field caused by the top wire
Bt = (
o* I) / (2
* 3r), into your page
Magnetic field caused by the bottom wire
Bb = ( o* I) / (2 * R), out of the page
Total magnetic field = Bt + bb
= (
o* I)/ (2
* r)- (
o* I)/ (2
* 3r) [outer page direction is considered as positive]
= (
o * I) / (2
* r) [1 – 1/3]
Substituting values,
B = [4
*10 -7* 10]/ [2
* 2 *10 -2]
= 6.67 * 10 5 T, from the page.
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Conclusion
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