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fin-2007-soln

# fin-2007-soln - PHYS-102 GENERAL PHYSICS || FINAL llil‘...

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Unformatted text preview: PHYS-102: 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 abysmal-licensees #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 reiistancg-of 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 MaJL-up off—- 'I . wasﬁtm' he Suits . radii/S. (5‘ X CCIVILL; 'W’ﬁm as- PIOA (G—q 35., 3L—_ -. TL”? mikes: fell‘S‘tCACﬂ. \IS SQM 0F- }.Apﬂhcsfmaﬁ fwgbfmqj:. _ Krfdkz j . 4K. ' Q 511-34er {S d l -T-O‘_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 thelvalue-pf iihduced' cunrenth). 1 - - - . - . iAe ' = ndd‘rreetion of the force _ _ c) Find-the between the w L a i the IoOparr-ls thew-tire pulling-or pushing the loop? 7 a) [email protected]*.\S.l'ﬂ¥fl-AA +LL ﬂux ikrovukihiwp :' . ‘ ‘ I”) V‘or M I' 't [’W'ﬁ‘“ 5‘ 5”“ Sam’ch 46 " - _ cier Hwioltl.‘ CL} “Inﬁeld Qéive.) ' 5Q . N0 . ci-Qé: am {0.12: .. u I. I i .. _ Mufftit _' 3 4M: 4% Tom; gm .13 (Efﬁgy :-_/mi1)£ . : I _ -ﬂ - . . "-5 W“ l Adamo} on? is I I : VQLMI‘ o§ ._ I fj/z/I I. I I I “Hie; Calm-3’ '_ {‘04§1;C loo’cwisz-E 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 direction-0f 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. lipic°=1°'”l (Um; mfg-lit) Q; If ——’)_ "i H “(1 a} (,Lzl—Lio r-LUO )103 :lio‘gd“ 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 WR—aﬂ C3” “‘ ‘1ch mg. H woof £7063 ‘ .1: 2 l0 , x ' @200 l:1 Q) ffLL sz‘tjtli‘t 3:: {Sift fﬁéii-Acm.¢;a€, ﬂ “ll”: the Walt. 6mm M volt-L4- W-el WW “1'04 (2/: O ...
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