Assume that I = 5.4A and d = 2.0cm . Part A What is the strength of the magnetic

Question

Assume that I = 5.4A and d = 2.0cm .

Part A

What is the strength of the magnetic field at the center of the loop in the figure? (Figure 1)

Express your answer to two significant figures and include the appropriate units.

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Part B

What is the direction of the magnetic field at the center of the loop?

Assume that I = 5.4A and d = 2.0cm .

Part A

What is the strength of the magnetic field at the center of the loop in the figure? (Figure 1)

Express your answer to two significant figures and include the appropriate units.

B=

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Part B

What is the direction of the magnetic field at the center of the loop?

What is the direction of the magnetic field at the center of the loop? out of the screen into the screen

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Explanation / Answer

magnetic field due to the long straight wire = B1 = uo*I/
(2*pi*r) in to the screen

magnetic field due to the circular loop = B2 = uo*I/(2*r) in to the screen

total magnietic field B = B1 + B2 = uo*I/ (2*pi*r) + uo*I/(2*r)

B = uo*I/ (2*pi*r) + uo*I/(2*r) = uo*I/(2*r)( 1 + 1/pi )

r = radius = D/2 = 2/2 = 1cm = 0.01 m

B = (4*3.14*10^-7*5.4)/(2*0.01)*(1 + 1/3.14)

B =4.5*10^-4 T

part(B)

direction = in to the screen

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