P102PM1 - PHYSICS 102 9 7 - 3 Midterm I Total: 40 marks...

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Unformatted text preview: PHYSICS 102 9 7 - 3 Midterm I Total: 40 marks Constants: Coulomb's force constant k = 9.0109 Nm2/C2 Permittivity of free space so = 8.85-10'12 C2/Nn12 Permeability of free space no = 41t-10'7 Tin/A Electron charge 3 = -l.60-10'19 c Avogadro's number N A = 6.021023 Marks #1. Two small, isolated, positively charged spheres q1 = 5.0p.C and q2 = 8.0uC, are held at rest, separated by a distance of 6.0 cm. The Spheres have masses m1 = 2.0 g and 1112 = 4.0 g. (3) (a) What electric force do these charges exert on each other? Is it attractive or repulsive? ' (2) (b) What is the electric potential energy of these two charges? (2) (c) Upon releasing sphere 1, what is its initial acceleration? (3) (d) Assuming that Sphere 1 encounters no obstacles or other charges after its release, what is the final speed it will attain? (4) #2. (a) You are given three resistors: R1 = R2 = 5.009; R3 = 8.0051. List all possible equivalent resistances you can obtain from combining these three resistors. (b) Consider the following circuit: R = 60009; C = 0.25uF; V = 12.0 V Switch (1) (i) When the switch is closed. what current initially flows in this circuit? ...!2 (PTO) (l) #2. (b) (ii) After a long time (assuming the battery does not die), how much energy will be stored in the capacitor? (2) (iii) If the capacitor has plates of area 1.5 m2 and the space between them is filled with teflon (dielectric constant=2.1), what is the distance separating the plates? (2) #2. (c) The ISO-uF capacitor in the drawing is fully charged. When the switch is Opened, the capacitor begins to discharge. What is the time constant for the discharge? Switch + '1550 D. V 250.9. l50/u.F (10) #3. A long solenoid has 1400 turns per meter of length, and it carries a current of 3.5 A. A small circular coil of wire is placed inside the solenoid with the normal to the coil oriented at an angle of 90.0“ with reSpect to the long axis of the solenoid. The coil consists of 50 turns, has an area of 1.3- 10-3 m2, and carries a current of 0.50 A. Find the magnitude of the-torque exerted on the coil. #4. Two long parallel wires, 0.76 tn apart, have currents 11 = 36.2 A and 12:20.6 A. respectively. It. 12.. (4) (a) What is the magnitude of the magnetic force per unit length exerted on each wire? (1) (b) Is it attractive or repulsive? (5) (c) Is it possible to add a 3rd parallel current-carrying wire so that it experiences no magnetic force due to 11 and [2? If so. where should it be located? If not. demonstrate why not. MIDTeRHL Mates 102 0(7-3 SOL-LLIcolUS 1' (W) _ 4, .4 ® F- kqflqfl .. 1010a |\l_M'Z‘/C2 ' 5.0'lOC-8.0'l0 C rt (.06 am)?- : '00 N Repdswa ® 1'» k%1%1 ‘= F 1'“ 7'- IOON 06M '1 6:)— r @ (a) 0*- “ E - ’02:] 1 5—0 ‘0 MAL V“ 002.12% 6) (a) *‘E' '" P”; ‘ i“: ; V= [2:21]“ = 77 We 5" i a, 52 (00 W 2%: [80L 5- I a (eac- 8.0317. 3 -_ I —-_ 8+2 §~ 10 S'J7_ 4mm :7 31+]; U‘i-O 1"”! z Riv : 2.0 "A ‘0‘ éoooJ'L C. l 1. w” .) Pc—z icv = Olaf -(I2.0V\._._ 1.8-!0 J 62 2. (m7 6, €_A z KEOA J j —1 a cl = KEOA - 2.1- 3.8{10 LC/Nm?‘ |§mz '2' 0.25-10-‘LF =0~HIMM RC " (ZS‘OJL+75“O_Q_D- bu to" F = O.l§s 5" MALI = “‘2? “W041”; SSA 2h —3 L_ m A; ""0 T T— N: z /A'- c A 50 0.513;; “703%; = oszs'Am‘ 2'.— . x 1'; ‘3 u figsfla 032961410 779,} (9290) ‘— Q-oo- (o'-V Mm if. Li . (a) f = M. I: 1;, z @m/o‘77‘m/fi)(3e.zA) (2am) -_————————-I—______-__—__—-__-_- G) x avid arr - 0.79m; = N34 xo'V/u E (D (1,) fiepdfiuc . () Y T {1th (Air; uh“ ® 5 55 o n?U- eat I; Cur/£4.41» .3 .3 I3 53 + 53 :- O cQFYaZr‘x) £17— X .1; : a Jan: :5.— 1: X .‘2 I; “'29) I, X ‘-‘- I10! f' .sz x: 2214 2 20.6fl-O.76m _,_00MW j/_7-L (36«Z~ZO.LJH 3'3er :3 focal/(J 1-00m -/u ugh I‘rjtfial’op 7:.- ...
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P102PM1 - PHYSICS 102 9 7 - 3 Midterm I Total: 40 marks...

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