What are the magnetic field strength and direction at points 1 to 3 in the figur

Question

What are the magnetic field strength and direction at points 1 to 3 in the figure below, in which I = 7 A, d = 3 cm, and D = 6 cm?

point 1   T --Direction-- up down right left out of page into page point 2 T --Direction-- up down right left out of page into page point 3 T --Direction-- up down right left out of page into page What are the magnetic field strength and direction at points 1 to 3 in the figure below, in which I = 7 A, d = 3 cm, and D = 6 cm? point 1 T --Direction-- up down right left out of page into page point 2 T --Direction-- up down right left out of page into page point 3 T --Direction-- up down right left out of page into page

Explanation / Answer

uo = 4*pi*10^-7

B1 = uo*I/(2*pi*d) - uo*I/(2*pi*(D+d) = (uo*I/2*pi)*((1/d) - (1/(D+d))

B1 = ((2e-7*7)*((1/0.03)-(1/0.09)) = 311.11*10^-7 T out of the page

+++++++++++++++++++++++

B2 = uo*I/(2*pi*D/2) + uo*I/(2*pi*(D/2) = (uo*I/2*pi)*((1/d) + (1/(D-d))

B2 = ((2e-7*7)*((1/0.03)+(1/0.03)) = 933.33*10^-7 T into the page

++++++++++++++++++++++++++++++++

B3 = uo*I/(2*pi*d) - uo*I/(2*pi*(D+d) = (uo*I/2*pi)*((1/d) - (1/(D+d))

B3 = ((2e-7*7)*((1/0.03)-(1/0.09)) = 311.11*10^-7 T out of the page

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