REVISION 2 : Magnetic Field Question 1 a) How can the motion of a charged particle be used to distinguish between a magnetic and an electric field? b) Inside a motor, 30.0 A in anticlockwise direction passes through a 250-turn circular loop that is 10.0 cm in radius. What is the magnetic field strength created at its center and in what direction? c) How strong is the magnetic field inside a solenoid with 10,000 turns per meter that carries 20.0 A? [Ans:b) 0.047 T, c) 0.1257 T] a) A charged particle in magnetic field moves in circular motion, where as it will move in linear motion when it is in electric field. Question 2 The wire carrying 400 A to the motor of a commuter train feels an attractive force of 4.00×10−3 N/m due to a parallel wire carrying 5.00 A to a headlight. (a) How far apart are the wires? (b) (b) Are the currents in the same direction? Question 3 The force on the rectangular loop of wire in the magnetic field as in Figure below can be used to measure field strength. The field is uniform, and the plane of the loop is perpendicular to the field. (a) What is the direction of the magnetic force on the loop? (assume the loop is fully in the field) (b) If a current of 5.00 A is used, what is the force per tesla on the 20.0-cm-wide loop? (1 N T-1) Question 4 A mass spectrometer is being used to separate common oxygen-16 from the much rarer oxygen-18, taken from a sample of old glacial ice. The ratio of the masses of these two ions is 16 to 18, the mass of oxygen-16 is 2.66×10−26 kg, and travel at 5.00×106 m/s in a 1.20-T magnetic field. What is the separation between their paths when they hit a target after traversing a semicircle? Answer Question 5 A 200-turn circular loop of radius 50.0 cm is vertical, with its axis on an east-west line. A current of 100 A circulates clockwise in the loop when viewed from the east. The Earth’s field here is due north, parallel to the ground, with a strength of 3.00×10−5 T . What are the direction and magnitude of the torque on the loop? Q4 Q5 REVISION 2 : Electromagnetic Induction Question 1 a) Explain how magnetic flux can be zero when the magnetic field is not zero. b) Suppose a 50-turn coil lies in the plane of the page in a uniform magnetic field that is directed into the page. The coil originally has an area of 0.250 m2 . It is stretched to have no area in 0.100 s. What is the direction and magnitude of the induced emf if the uniform magnetic field has a strength of 1.50 T? Question 2 In the August 1992 space shuttle flight, only 250 m of the conducting catether could be let out. A 40.0 V motional emf was generated in the Earth’s 5.00×10−5 T field, while moving at 7.80×103 m/s. What was the angle between the shuttle’s velocity and the Earth’s field, assuming the conductor was perpendicular to the field. (24.22 º ) Question 3 The heating coils in a hair dryer are 0.800 cm in diameter, have a combined length of 1.00 m, and a total of 400 turns. (a) What is their total self-inductance assuming they act like a single solenoid? (b) How much energy is stored in them when 6.00 A flows? (c) What average emf opposes shutting them off if this is done in 5.00 ms? Q1-b Q2