2) The magnetic field at point P is 300 µT into the page. You may assume that both wires are very long. Find the magnitude and direction of the current in the lower wire. P 4.0 cm 4.0 cm 10 A

5. A long cylindrical conductor of radius R carries a current I. The current density is non- uniform, and is a function of the radius according to J = br, where b is a constant. Find an expression for the magnetic field for both rR (i.e. inside and outside the conductor). Assume that R is measured from the center of the conductor.

An ion (charge = -e) enters a mass spectrometer. Mass Spectrometer BX X X X incident ions The speed of the ion is 3.30×106 m/s; the magnetic field is B = 1.99 T; the diameter of the circular path is 0.382 m. Determine the mass of the ion.

3. In the diagram below there are two long, parallel, current carrying wires. The upper wire also has a semi-circular section of radius 15.0 cm. The distance between the wires is 20.0 cm. The upper wire carries a current of 2.00 A to the right and the lower wire carries a current of 14.0 A to the right. What is the magnitude of the net or total magnetic field at point P due to both wires (in uT)? Point P is at the center of the semi-circular section. 2A (A) 5.00 (B) 7.53 (C) 9.81 •P 个 (D) 12.3 (E) 2.31 (F) 15.0 20cm 14A

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1. You are doing a study of bird migration and need to determine the strength and direction of the Earth's magnetic field B using a magnetometer (a device for measuring magnetic fields). This magnetometer consists of a long wire carrying 10.0 A of current. Assume the wire and the magnetic field are both parallel to the ground. For the two orientations of the wire shown (viewed from above), the magnitude of the force per unit length F/L is given. The orientation of the wire in Figure I is perpendicular to the orientation of the wire in Figure II I I F/L=0.0 N/cm F/L=5.00 µT/cm (I) (II) a. Draw an arrow that indicates the direction of B (when still viewed from above). Please place a box around your arrow so I can clearly identify your answer. What is the strength of the Earth's magnetic field (in µT)? Your research student is standing 5.00 m away from the wire. What is the b. с. strength of the magnetic field at that location due solely to the wire? d. The research student in part (c)…

3. In the diagram below there are two long, parallel, current carrying wires. The upper wire also has a semi-circular section of radius 15.0 cm. The distance between the wires is 20.0 cm. The upper wire carries a current of 2.00 A to the right and the lower wire carries a current of 14.0 A to the right. What is the magnitude of the net or total magnetic field at point P due to both wires (in µT)? Point P is at the center of the semi-circular section. (A) 5.00 (B) 7.53 (C) 9.81 2A 个 (D) 12.3 (E) 2.31 (F) 15.0 20cm 14A

You take a conducting wire with a total length of 10.0m and form a square with it. A uniform magnetic field is oriented 30.0° above the plane of the square. If the magnitude of the magnetic field is 1.20T, what is the magnetic flux through the square? Uniform B – field - 30° 3.75 T · m² 6.50 T · m2 12.0T· m² None of the other answers. 7.50 T · m²

A magnetic field has a magnitude of 0.0017 T, and an electric field has a magnitude of 4.7 x 103 N/C. Both fields point in the same direction. A positive 2.1-μC charge moves at a speed of 3.1 x 106 m/s in a direction that is perpendicular to both fields. Determine the magnitude of the net force that acts on the charge. B Number i 9 V 90° Units E

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