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A wire is formed so as to make a circular loop connecting two long, straight sec

ID: 1259692 • Letter: A

Question

A wire is formed so as to make a circular loop connecting two long, straight sections as shown in the figure below. If the radius of the loop is R = 11 cm and the wire carries a current I = 2.5 A, what are the magnitude and direction of the magnetic field at the center of the loop?

magnitude______T

direction__________?

A wire is formed so as to make a circular loop connecting two long, straight sections as shown in the figure below. If the radius of the loop is R = 11 cm and the wire carries a current I = 2.5 A, what are the magnitude and direction of the magnetic field at the center of the loop? magnitude______T direction__________?

Explanation / Answer

B = field from full circle + field from two long half wires =

.

         = ?I / 2R    +   ? I / 2?R =     4? x 10-7 * 2.5 / 2 *0.11 + 4?x 10-7 * 2.5 / 2? *0.11 =

.

           = 1.88 x10-5 T

.

direction, using right hand rule, is    into the page (or into the screen)

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