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Unformatted text preview: PHYS102: GENERAL PHYSICS  FINAL, llil‘lawir 21, 200?
Duration: 120 minutes Instructions: 1. Read questions carefully. 2. Write solution with clarity.r and necessaryr comments {explanations}. 3. Use legible writing especially in formulas. 4. Do not forget to check vow results by means ofanalvsis of dimensions. Note: Solutions will be available at abysmallicensees #thsfﬂlhtrnl just after the exsFrTj
GOO D LU CK Question 1: _ A materia! of. resistivity .9 is formed into a solid,_ '
truncated cone of height 1, and radiia and: bat
either end; Calculate the reiistancgof the cone I
between the two flat end faces (You can assume
L>>(b—a)). ' ' ' ' _ A; D7 Q9“ij ,_ wt. QM fWk a": rLLEs'mM. as MaJLup off— 'I . wasﬁtm' he Suits . radii/S. (5‘ X CCIVILL; 'W’ﬁm as PIOA (G—q 35.,
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d l TO‘_t%l I 'Question 2: A rectanguiar loop of dimensions! and w is placed near . aninﬁnitely long wire earring a tirﬁe dependent current ' .
I =*_ 103‘” T. The total' resistance'of'the ioop is R. " .. ' ' 5'
3) Find indUced‘ emf in the keep. ' '  ' I b} Determine the direction and thelvaluepf iihduced' cunrenth). 1    .  .
iAe ' = ndd‘rreetion of the force _ _ c) Findthe
between the w L a i the IoOparrls thewtire pullingor pushing the loop? 7 a) L@*.\S.l'ﬂ¥flAA +LL ﬂux ikrovukihiwp :' .
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W“ l Adamo} on? is I I : VQLMI‘ o§ ._ I fj/z/I I. I I I “Hie; Calm3’ '_ {‘04§1;C loo’cwiszE Question 3.: Inside a cylindrical tube of'radius R, there ista; uniform
magnetic ﬁeld. B parai'lei'to the cylinder axis. A'particie of _ ' _
charge I; and mass m is initiaiiy at test at a distance r (r 4?).
The magnetic field begins to change at a steady rate
dB/dt'= aria > 0). _ . ' '
3) Find. the induced eiectric field .at'thes'éistancenfrom the b) Find the magnit§ and direction0f acceleration of the
particle, as the'mra etic field starts to change. . ' Question 4:
A 100 pF capacitor is connected with a 10 mH inductor to form an LC circuit. initially (at t=0) there is 1 mA current in the circuit and the capacitor is uncharged.
a) Find the initial energy stored in the magnetic field of the (I inductor. ,,
b) Find the oscillation frequency (w) of the circuit. c) What is the period (T) of the circuit. d) Find the energy stored on the capacitor at time t=T/4. e) Find the charge on the capacitor at time t=T/4.
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3 2L 7. i ( J l #3 Question 5: An RLC circuit is connected to an AC voltage
source with frequency f= 50 Hz and maximum
voltage 30 V. The resistance is R = 5.0 Q and
the inductance is L = 50 mH. a) For which value of capacitance would the
average power dissipated across the resistor be
maximum? b) What is the phase constant of the circuit for
the value of Cyou found in part (a). —:>C;'SOH;.: wzlmg dl gar MC:lequ JlSS'lponl Envoy tluz Clr'cult MUS’l’ (>9. O/L [movich *l  in, l
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“ll”: the Walt. 6mm M voltL4 Wel WW “1'04 (2/: O ...
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This note was uploaded on 02/01/2010 for the course PHYS PHYS102 taught by Professor Atillaaydınlı during the Fall '09 term at Bilkent University.
 Fall '09
 AtillaAydınlı

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