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last ﬁrst 123 Section B exam Write your name and student number on all ﬁve pages. Problem VI asks for a written answer——be concise yet complete, and write legibly.
T 0 receive credit, you must brieﬂy explain the major steps you take, “naked”
answers receive none. Your job is to convince the grader that you know what you
are doing. In answering multiple—choice questions, choose the best response. Problem I Faraday’s Law [15 points] The resistance of the square loop at the right is 0.001 Q, l W '
and a 0.150 A induced current is ﬂowing ccw as shown. 1. (2 pts) The externally applied magnetic ﬁeld strength is 8‘0 cm A. adequate B. decreasing ©increasing D. constant 2. (3 pts) What is the magnitude of the induced emf (in millivolts)?
.0150 B. 15.0 C. 1.50 D. 0.50 E. 3.68 3. (5 pts) What is the direction of the induced Bﬁeld?
A. cw B. ccw C. can’t be determined D. into the page @ out of the page 4. (5 pts) At what rate (in T/s) is B changing?
0.0234 B. 2.34 C. 1.60 D. 0.50 E. 0.234 Problem 11 Motional EMF [15 points] A 30.0—cm long conducting rod moves in a plane that is
perpendicular to a magnetic ﬁeld of 0.050 T. The constant speed v of
the rod is perpendicular to its length. 5. (5 pts) When charge distribution is not changing, the magnitude
of the electric ﬁeld in the rod is given by A.E=0.00 E=vB C.E=le
D. E = Q/(4n&)l ) E. none of these 6. (5 pts) If the potential difference between the ends measures 8.00 V, then v (in m/s) is A. 400 B. 40 c. 160 533 E. 3.68
7. (5 pts) What force (in N) is require 0 keep the rod moving at speed v? 0.00 B. 0.98 C. 1.60 D. 0.50 E. 3.68 Physics 1233, Winter 2009, Version b Exam 1, page 1 Name Student ID Number
last ﬁrst Problem III. Response of an RL circuit [5 pts] 8. (5 pts) The open switch in the RL L R l
circuit shown on the right is closed at l—rmmg—Jm
time t = 0. Which curve best illustrates the variation of the magnitude of the 8
current through the inductor as a [M function of time? Battery
A. 9 C. D. E.
Problem VI. Another RL Circuit?! [10 points]
For this second RL circuit shown on the right, the switch is 10 n 20D 10 mH initially open. ‘E/
+ 9. (5 pts) What is the current I (in A) through the 10 Q m V
resistor immediately after the switch is closed? 2.00 B. 0.50 C. 1.00 D. 2.50 E. 3.00 10. (5 pts) What is the current I (in A) through the 10 Q resistor a very long time after the switch
is closed? .00 B. 0.50 C. 1.00 D. 2.50 E. 3.00 Problem V. RC response time [5 points] 11. (5 pts) Rank RC time constants of the three RC circuits below from largest to smallest. All
resistors and capacitors have the same value. A. A. 123 B. 321 C. 312 @213 E. 231 Physics 1233, VWnter 2009, Version b Exam 1, page 2 Name Student ID Number
last ﬁrst Problem VI. Driven RLC oscillator [30 points] This circuit is driven with 5 E 6' = 200 Vat resonance. 5 COS w,
peak 0 0 R = 20.0 9, L = 2.00 H, C = 2.00 11F, and recall that [peak = W ah / Z is a maximum at resonance. 12. (5 pts) Argue that the impedance Z, deﬁned as «I? + (XL — X C )2 , must equal the value of R at the resonant fre uency. IMU & I; 4 awrin 42L Mommas: {2 mar2‘
\oea MlmWIM.'TZu$ \nefwws XLzXc) So £ :JP= R 13. (5 pts) Calculate the value of [peak Imk 'TZMI‘ = ﬁgs10.04 4+ Mom 14. (5 pts) Determine the value of the resonant frequency beginning with the deﬁnitions of X L
and XC in terms of a), L, and C. 1 .. .1.
II,_ t g .—L .. ..
0‘5 4%, = "LB "‘ (2.0Hwaw’3F $0063 " 6”” H3 ’é’k. 15. (10 pts) Evaluate X L and XC, then VL peak and V0 peak, and compare their values to VRpeak XL =5q,‘ L = Phi/fan. 0H: MUdQﬁAE a: slum aha0k
{/ka =XL IML= loavnxxam =/0A V: {Iméz‘ ‘50 XL=X¢= moon. W VLPafiéwp/OH/ mam Physics 123B, Winter 2009, Version b Exam 1, page 3 ...
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