PES 1120 General Physics II Practice Exam 3 One (4” x 6”) index card may be used for formulas or other notes or diagrams. Definitions & Concepts (2 pts each) ⃗⃗⃗⃗ about the ⃗ ∙ ds 1. What is the value of the line integral ∮ B Amperian loop shown? a. I* b. 2*I* c. -I* d. -2*I* 2. Which of the units below are equivalent to Henrys times Farads? a. Ohm b. Hertz c. Seconds2 d. Ampere 3. A simple circuit has an AC source and a capacitor. As the voltage cycles through the circuit from the source, which is true of the current for every cycle? a. The current maximum occurs before the voltage maximum occurs. b. The current maximum occurs at the same time as the voltage maximum occurs. c. The current maximum occurs after the voltage maximum occurs. 4. This material exhibits a magnetic field only in the presence of an external magnetic field, and it is aligned with the external field. a. Ferro-magnetic b. Paramagnetic c. Diamagnetic Applications (4-6 pts each) 5. Two long parallel wires are separated by 4.0 cm. One of the wires carries a current of 20 A and the other carries a 30 A current in the same direction. Determine the magnetic force per unit length experienced by the wire carrying the greater current. 6. A long solenoid is wound with 960 turns per meter of thin wire through which a current of 300 mA is maintained. What is the magnetic field strength at the center of the solenoid? R. Gist 1 of 3 Short Semester Ver. A, Rev 1 PES 1120 General Physics II Practice Exam 3 7. A straight wire carries a current of 40 A in the region of a uniform magnetic field that is oriented perpendicular to the wire. If the force per unit length on this wire is 2.0 N/m, determine the magnitude of the magnetic field. 8. A solenoid is to be made from a long tightly-wrapped coil of wire. The solenoid will have a diameter of 2 cm, with a wrapping density of 20 coils per cm. How long must the solenoid be to achieve an inductance of 2 mH? How much magnetic energy is stored in the solenoid when 2 A of current is passing through it? What voltage does the solenoid produce when the current is changed from 2 A to zero in 0.2 seconds? 9. A coil is wrapped with 300 turns of wire on the perimeter of a square frame (side length = 20 cm). Each turn has the same area as the frame, and the total resistance of the coil is 1.5 . A uniform magnetic field perpendicular to the plane of the coil, changes in magnitude at a constant rate from 0.50 T to 0.90 T in 2.0 s. What is the magnitude of the induced current in the coil while the field is changing? 10. A rectangular loop (area = 0.15 m2) turns in a uniform magnetic field with B = 0.20 T at an angular rate of 0.6 rad/s. At an instant when the angle between the magnetic field and the normal to the plane of the loop is /2 rad, what is the magnitude of the emf induced in the loop? 11. In the arrangement shown, a conducting bar of negligible resistance slides along horizontal, parallel, frictionless conducting rails connected as shown to a 2.0- resistor. A uniform 1.5-T magnetic field is perpendicular to the plane of the paper. If length = 60 cm, what is the current through the resistor at the instant the speed of the bar is equal to 4.2 m/s? R. Gist 2 of 3 Short Semester Ver. A, Rev 1 PES 1120 General Physics II Practice Exam 3 12. A DC circuit contains a 10 Ω resistor and a 1 mH inductor connected in series with a 12-V battery. What is the steady state current through this circuit? How long after the circuit is interrupted does the current reach half of this value? 13. An AC voltage of the form E(t) = 140 sin(500*t) volts is supplied to a series RLC circuit, with R = 1 kΩ, L = 1 H, and C = 1 μF. Find the natural (or resonance) frequency of this circuit. Find the impedence of the circuit, and the maximum voltage across the resistor and the capacitor at the driving frequency of 500 rad/s. 14. What is the ratio of primary turns to secondary turns in a step-down transformer that steps down a voltage of 120-V to 10-V? If the current in the secondary loop is 0.1 ampere, what was the supplied current (assuming 100% efficiency in the transformer)? Permittivity of free space Permeability of free space Speed of light in vacuum R. Gist Constants o=8.854 x 10-12 C2/(N·m2) o=4 x 10-7 T·m/A c=2.98 x 108 m/s 3 of 3 Powers of Ten kilo- (k) milli- (m) micro- () nano- (n) pico- (p) 103 10-3 10-6 10-9 10-12 Short Semester Ver. A, Rev 1