Name: ID: A Student Number: Physics 2140: Hour Exam 2 Wednesday, June 13,2007 Each Question is worth 10 points Please show your work in solving ~hefollowingproblems.No credit will be awardedfor answers without evidence of work supporting the answer. ~ ~ d ) 1 . How much current is flowing in one of the 1 0 - 0 resistors? ion 2 0 y = I-4-R = SO,CA10-n 00 hp PV BV - rw,,d jzlOa= 0.84 * c r O s * ) I = 104 -'d R,, 2. A 10-V-emf battery is connected in series with the following: a 2-pF capacitor, a 2-R resistor, an ammeter, and a switch, initially open; a voltmeter is connected in parallel across the capacitor. After the switch has been closed for a relatively long period (several seconds, say), what are the current and capacitor voltage readings, respectively? Name: Ke s ID: A 3. A proton is released such that it has an initial speed of 4.0 x 1 O5 m/s from left to right across the page. A magnetic field of 1.2 T is present at an angle of 30" to the horizontal direction (or positive x axis). What is the magnitude of the force experienced by the proton? (q, = 1.6 x 1 0-l9 C) 4. A proton moves across the Earth's equator in a northeasterly direction. At this point the Earth's magnetic field has a direction due north and is parallel to the surface. What is the direction of the force acting on the proton at this instant? I 7 -- BJ 6 wk r\ rirLt-hw* 368 difecfian IC"- haz earn up~4p~3 A 5. A solenoid with 500 turns, 0.1 0 m long, carrying a current of 4.0 A and with a radius of 1 0-2 m will have what strength magnetic field at its center? (magnetic permeability in empty space po = 4 n x 1 0-7 T.m/A) . kc 9 Name: ID: A =O ~ O D S ~ ~ rn A flat coil of wire consisting of 20 turns, each with an area of 50 cm2, is positioned perpendicularly to a 9th' 6. uniform magnetic field that increases its magnitude at a constant rate from 2.0 T to 6.0 T in 2.0 s. If the coil has a total resistance of 0.40 R, what is the magnitude of the induced current? f t r ~ jf , Enf ,rr&rtd df CQI-/.' 7. A large jetliner with a wingspan of 40 m flies horizontally and due north at a speed of 300 m/s in a region where the magnetic field of the earth is 60 pT directed 50" below the horizontal. What is the magnitude of the induced emf between the ends of the wing? b , , ~ i . 3 6 COLf"t-f a 4 v, 8 , h/.*k 1 0.f 8 E =~ , a r p lK+ BA 7 D p vlow: e S& VAY p +, *, + . bcr IJorfi , or&SD' g, 2 B? 5 B n h e = YC96pT h-., g=iipv- ~~ 8. A motor with a coil resistance of 10 R is attached to a voltage supply of 90 V. What is the current in the motor when it is running at its maximum speed with a back emf of 60 V? Name: ID: A &LL 9. An emf of 0.32 V is induced in a 0.40-H inductor. What is the rate of change of current through the inductor? - 10. A hair dryer draws 1 200 W, a curling iron draws 800 W, and an electric light fixture draws 500 W. If all three of these appliances are operating in parallel on a 120-V circuit, what is the total current drawn? 1 1. Resistors of values 6.OR, 4.OR, 10.0R and 7.0Q are combined as shown. What is the equivalent resistance for this combination? 14JL -+ 7R 3-k Name: c-, ID: A 12. When a 2 4 . 0 4 resistor is connected across a 12.0-V battery, a current of 482 mA flows. What is the resulting terminal voltage - of the battery? A rea[ - __ I - brmr2 ; - --7 - --. Bah)~r$ J z m ",, l h ( E-12.0V %t fi I = -v , p+r h ~ d6. p ,.,f A; at;' w t A An ' - in kmel re~i.sdm B u t , w khou ~drr(4T3 ~/82- A = D , L / ~ ~jA rovNro/w 6- r L ~ PUA &a ,R=2Y.dA rz- =r -LA&, = a - R = (0,I Y B Z A ) [ . ~ - ~ ) -- 13. A 100-m-long wire carrying a current of 4.0 A will be accompanied by a magnetic field of what strength at a distance of 0.050 m from the wire? (magnetic permeability in empty space po = 4 n x lo-' T.m/A)