Assignment:
Question 1. A laboratory electromagnet produces a magnetic field of magnitude 1.50 T. A proton moves through this field with a speed of 6.00 x 10^6 m/s. (a) Find the magnitude of the maximum magnetic force that could be exerted on the proton. (b) What is the magnitude of the maximum acceleration of the proton? (c) Would the field exert the same magnetic force on an electron moving through the field with the same speed? Would the electron undergo the same acceleration? Explain.
Question 2. A wire 2.80 m in length carries a current of 5.00 A in a region where a uniform magnetic field has a magnitude of 0.390 T. Calculate the magnitude of the magnetic force on the wire for the following angles between the magnetic field and the current, (a) 60.0o (b) 90.0o, and (c) 120.0o.
Question 3. A singly charged positive ion has a mass of 2.50 x 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.
Question 4. Two wires 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 P1, 10.0 cm to the right of the wire on the right; and (c) at point P2, 20.0 cm to the left of the wire on the left
Question 5. Two parallel wires are separated by 6.00 cm, each carrying 3.0 A of current in same direction. What is the magnitude of the force per unit length between the wires? Is the force attractive or repulsive?
Question 6. A 30-turn circular coil of length 6.0 produces a magnetic field of magnitude 2.0 mT at its center. Find the current in the loop.
Question 7. A uniform magnetic field of magnitude 0.50 T is directed perpendicular to the plane of a rectangular loop having dimensions 8.0 cm by 12 cm. Find the magnetic flux through the loop.
Question 8. A circular loop of radius 12.0 cm is placed in a uniform magnetic field (a) If the field is directed perpendicular to the plane of the loop and the magnetic flux through the loop is 8.00 x 10^-3 T x m^2, what is the strength of the magnetic field? (b) If the magnetic field is directed parallel to the plane of the loop, what is the magnetic flux through the loop?
Question 9. A wire loop of radius 0.30m lies so that an external magnetic field of strength +0.30T is perpendicular to the loop. The field changes to −0.20T in 1.5 s. Find the magnitude of the average induced emf in the loop during this time.
Question 10. A pick-up truck has a width of 79.8 in. If it is traveling north at 37 m/s through a magnetic field with vertical component of 35µT, what magnitude emf is induced between the driver and passenger sides of the truck?