3) (25 points) a) A current path shaped as shown in Figure produces a magnetic field at P, the center of the arc. If the arc subtends an angle of 0=30.0° and the radius of the arc is R=0.400 m, what are the magnitude and direction of the field produced at P if the current is l=2.00 A? 30.0° b) A loop of a full circle of radius R=0.400 m carries a current of 1=2.00 A. What is the magnitude of the magnetic field at its center? Hint: Magnitude of the magnetic field at point P (center of the arc) due to circular arc of radius R carrying a current of I and subtending an angle of 0 is: 0. B= 4 TR 0 (0 is in terms of radians, µo= 4tt x 10´ N.A²)

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Chapter1: Units, Trigonometry. And Vectors
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3) (25 points) a) A current path shaped as shown in Figure
produces a magnetic field at P, the center of the arc. If the
arc subtends an angle of 0=30.0° and the radius of the arc
is R=0.400 m, what are the magnitude and direction of the
field produced at P if the current is l=2.00 A?
30.0°
b) A loop of a full circle of radius R=0.400 m carries a
current of 1=2.00 A. What is the magnitude of the magnetic
field at its center?
Hint: Magnitude of the magnetic field at point P (center of the arc) due to circular arc of
radius R carrying a current of I and subtending an angle of 0 is:
0.
B=
4 TR
0 (0 is in terms of radians, µo= 4tt x 10´ N.A²)
Transcribed Image Text:3) (25 points) a) A current path shaped as shown in Figure produces a magnetic field at P, the center of the arc. If the arc subtends an angle of 0=30.0° and the radius of the arc is R=0.400 m, what are the magnitude and direction of the field produced at P if the current is l=2.00 A? 30.0° b) A loop of a full circle of radius R=0.400 m carries a current of 1=2.00 A. What is the magnitude of the magnetic field at its center? Hint: Magnitude of the magnetic field at point P (center of the arc) due to circular arc of radius R carrying a current of I and subtending an angle of 0 is: 0. B= 4 TR 0 (0 is in terms of radians, µo= 4tt x 10´ N.A²)
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