Explanation Given Info: Current in the wire ( I ) is 12.0 A , radius of the circle inner arc A D ( r 1 ) is 20.0 cm and radius of the circle outer arc B C ( r 2 ) is 30.0 cm . Formula to determine the magnetic field at the center of the circular loop, B = μ 0 I 2 π r (I) μ 0 is the magnetic constant, I is the current in the wire, r is the radius of arc from point P . The arc angle from the given figure is 120 ° . Therefore each arc will have an angle of 120 ° 360 ° = 1 3 times for a complete loop. Therefore formula to determine the magnetic field due to each arc, B = ( 1 3 ) ( μ 0 I 2 π r ) (II) Formula to determine the magnetic field due to inner arc A D , B 1 = ( 1 3 ) ( μ 0 I 2 π r 1 ) (III) r 1 is the radius of the inner arc from point P . Formula to determine the magnetic field due to outer arc B C , B 2 = ( 1 3 ) ( μ 0 I 2 π r 2 ) (IV) r 2 is the radius of the outer arc from point P . Formula to determine the net magnetic field at point P . B = B 1 − B 2 (V) Substitute ( 1 3 ) ( μ 0 I 2 π r 1 ) for B 1 and ( 1 3 ) ( μ 0 I 2 π r 2 ) for B 2 in equation (V)

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Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

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Chapter 28, Problem 28.68P

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The magnitude and direction of the magnetic field at point P .

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Chapter 28, Problem 28.67P

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The magnitude and direction of the magnetic field at point P .

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