A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has radius R. The wire is in the plane of the screen and carries current I. (a) What is the direction of the magnetic field at the center of the loop? O to the left O to the right O upward O downward into the screen O out of the screen R (b) Find an expression for the magnitude of the magnetic field at the center of the loop. (Use the following as necessary: R, I, and μo. Do not substitute numerical values; use variables only.) Hol 1 + π 2πr B = X Think of the total magnetic field as the superposition of the field due to the long straight wire that due to the circular loop. Find the sum of these contributions.

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Chapter1: Units, Trigonometry. And Vectors
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A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has radius R. The wire is in the plane of the screen and carries a current I.
(a) What is the direction of the magnetic field at the center of the loop?
O to the left
O to the right
O upward
Odownward
into the screen
O out of the screen.
R
B =
Q
(b) Find an expression for the magnitude of the magnetic field at the center of the loop. (Use the following as necessary: R, I, and μo. Do not substitute numerical values; use variables only.)
10² 1 + π
2πr
X
Think of the total magnetic field as the superposition of the field due to the long straight wire that due to the circular loop. Find the sum of these contributions.
Transcribed Image Text:A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has radius R. The wire is in the plane of the screen and carries a current I. (a) What is the direction of the magnetic field at the center of the loop? O to the left O to the right O upward Odownward into the screen O out of the screen. R B = Q (b) Find an expression for the magnitude of the magnetic field at the center of the loop. (Use the following as necessary: R, I, and μo. Do not substitute numerical values; use variables only.) 10² 1 + π 2πr X Think of the total magnetic field as the superposition of the field due to the long straight wire that due to the circular loop. Find the sum of these contributions.
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