Exam 3 Problems

# Figure 1 6 a singly charged positive ion has a mass

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6. A singly charged positive ion has a mass of 2.50 × 10 26 kg. After being accelerated through a potential difference of 250 V, the ion enters a magnetic field of 0.500 T, in a direction perpendicular to the field. Calculate the radius of the path of the ion in the field. 7. The two wires shown in Figure 2. carry currents of 5.00 A in opposite directions and are separated by 10.0 cm. Find the direction and magnitude of the net magnetic field (a) at a point midway between the wires; (b) at point P 1 , 10.0 cm to the right of the wire on the right, and (c) at point P 2 , 20.0 cm to the left of the wire on the left. Figure 2. 8. A wire carries a 7.00-A current along the x-axis, and another wire carries a 6.00-A current along the y-axis, as shown in Figure 3.. What is the magnetic field at point P, located at x = 4.00 m, y = 3.00 m? Figure 3.
9. Find the flux of the Earth’s magnetic field of magnitude 5.00 × 10 5 T through a square loop of area 20.0 cm 2 (a) when the field is perpendicular to the plane of the loop, (b) when the field makes a 30.0° angle with the normal to the plane of the loop, and (c) when the field makes a 90.0° angle with the normal to the plane. 10. A 500-turn circular-loop coil 15.0 cm in diameter is initially aligned so that its axis is parallel to the Earth’s magnetic field. In 2.77 ms, the coil is flipped so that its axis is perpendicular to the Earth’s magnetic field. If an average voltage of 0.166 V is thereby induced in the coil, what is the value of the Earth’s magnetic field at that location?

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