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(1) Shown below is a loop of wire bent into a unique shape. A current I flows through the loop as shown and axes are drawn in the picture. The field point we will be using is point P, located at the origin. (a) Use the Biot-Savart Law to find the magnetic field contributed by the curved bit with radius R. Be sure to show your ds, f, and bounds of integration explicitly. (b) Use the Biot-Savart Law to find the magnetic field contributed by the curved bit with radius 2R. Be sure to show your ds, î, and bounds of integration explicitly. (c) Use the Biot-Savart Law to find the magnetic field contributed by the straight line pieces. Be sure to show your ds, î, and bounds of integration explicitly. (d) What is the total magnetic field from this loop? I 2R R. P

(1) Shown below is a loop of wire bent into a unique shape. A current I flows through the loop as shown and axes are drawn in the picture. The field point we will be using is point P, located at the origin. (a) Use the Biot-Savart Law to find the magnetic field contributed by the curved bit with radius R. Be sure to show your ds, f, and bounds of integration explicitly. (b) Use the Biot-Savart Law to find the magnetic field contributed by the curved bit with radius 2R. Be sure to show your ds, î, and bounds of integration explicitly. (c) Use the Biot-Savart Law to find the magnetic field contributed by the straight line pieces. Be sure to show your ds, î, and bounds of integration explicitly. (d) What is the total magnetic field from this loop? I 2R R. P

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(1) Shown below is a loop of wire bent into a unique shape. A current I flows through the loop as shown and axes are drawn in the picture. The field point we will be using is point P, located at the origin. (a) Use the Biot-Savart Law to find the magnetic field contributed by the curved bit with radius R. Be sure to show your ds, î, and bounds of integration explicitly. (b) Use the Biot-Savart Law to find the magnetic field contributed by the curved bit with radius 2R. Be sure to show your ds, î, and bounds of integration explicitly. (c) Use the Biot-Savart Law to find the magnetic field contributed by the straight line pieces. Be sure to show your dš, î, and bounds of integration explicitly. (d) What is the total magnetic field from this loop? I 2R 'R P. א
Transcribed Image Text:(1) Shown below is a loop of wire bent into a unique shape. A current I flows through the loop as shown and axes are drawn in the picture. The field point we will be using is point P, located at the origin. (a) Use the Biot-Savart Law to find the magnetic field contributed by the curved bit with radius R. Be sure to show your ds, î, and bounds of integration explicitly. (b) Use the Biot-Savart Law to find the magnetic field contributed by the curved bit with radius 2R. Be sure to show your ds, î, and bounds of integration explicitly. (c) Use the Biot-Savart Law to find the magnetic field contributed by the straight line pieces. Be sure to show your dš, î, and bounds of integration explicitly. (d) What is the total magnetic field from this loop? I 2R 'R P. א
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