A single loop of wire of radius 3 cm carries a current of 2.8 A. What is the magnitude of B on the axis of the loop at the following positions?
1)the center of the loop
T
2)1 cm from the center
T
3)2 cm from the center
T
4)32 cm from the center
T
formual
B = uo i/ 2x
= 4 pi * 10^-7 i/ 2 r
(1)
r=0, B =4 pi * 10^-7 i/ 2 R
B = 4 pi * 10^-7 (2.8)/ 2 (0.03 ) = 5.86 * 10^-5 T
(2)
x = 1cm
B =4 pi * 10^-7 i R^2/ 2 ( R^2 + x^2 )^3/2
B = 4 pi * 10^-7 (2.8) ( 0.03)^2/ 2 (0.01^2 + 0.03^2 )^3/2 = 5.00 * 10^-5 T
(3)
x = 2cm
B =4 pi * 10^-7 i R^2/ 2 ( R^2 + x^2 )^3/2
B = 4 pi * 10^-7 (2.8) ( 0.03)^2/ 2 (0.02^2 + 0.03^2 )^3/2 = 3.37 * 10^-5 T
(4)
B =4 pi * 10^-7 i R^2/ 2 ( R^2 + x^2 )^3/2
B = 4 pi * 10^-7 (2.8) ( 0.03)^2/ 2 (0.32^2 + 0.03^2 )^3/2 = 4.76* 10^-8 T
A single loop of wire of radius 3 cm carries a current of 2.8 A. What...
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