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physics_6c_f08_final_exam_solutions

# physics_6c_f08_final_exam_solutions - 5 a” 1 ‘2 m.t f...

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Unformatted text preview: 5;, a” 1 ‘2 % m .t , f at i“ ‘‘‘‘‘ l W {27\$ avg? 5 Elk «5%ng ma gram 5' if" war-em - M In the ground state of a Hydrogen atom (one electron, one proton) the radius of the electron orbit is 0.529 X 10'10 In. Find the speed of the electron in its orbit. (me=9.ll x 10'31 kg) 2,. / ~ L 6/ 2, ’57 L/ r 32% / 1 Y. T W” _ .W ' 5 F awn/mm...» s" x\ V ’3 key?“ M % [6,? M 4 'l‘l i g}: ‘Sﬁgaggﬁ ”cw! f”. -» i l . .a- (1,0)“) ;' " “WW... war” / WW v G‘Hwa‘z’iy {€ngth If 5:; Two hollow concentric conducting spheres are separated by polyethylene, with dielectric constant K = 2.25. The outer sphere has an inner radius of 20.0 cm, and the inner sphere has an outer radius of 10.0 cm. a) Assume the outer sphere is charged with a total unifome distributed charge of +Q, and the inner sphere is charged with a total uniformly distributed charge of -Q. Using Gauss’s law and an appropriate Gaussian surface, ﬁnd the ﬁeld in the region between the conductors as a function of Q and the radial distance from the center of the spheres. (Don’t forget the presence of the dielectric!) b) Using the deﬁnition of potential difference, AV = — IE - d] , ﬁnd the potential difference between the inner and outer conductors. c) From parts a) and b), ﬁnd the capacitance of the spheres. Ifl put a voltage of 10.0 V across the two spheres, what will the charge on the spheres be? /ﬁ i} Eo'tiﬂvn} ; t» ”x (or; 50>:rﬁ; E:WAT”Q {I «m it, i la ‘tﬁﬁggﬁ‘ ”WW 1‘ m M _ ”w w “wow; 404‘” It? 9“” (QM / Viva“ 4; [J/ + mic / a V. i h also”, “(3% w‘) c 5.9;“ ”taxi-v Z, L : CQ .2 ”(ﬁfties .. i C W W? ’ 5 “PM“? :a Show? ‘________ The capacitor is initially uncharged. Using your knowledge of how capacitors behave in circuits, ﬁnd a) the initial current through the battery just after the switch is closed. b) the steady state current through the battery when the switch has been closed for a long time. c) the maximum voltage across the capacitor. AV 4rmM 2+ ‘90» Se (kaish A t a imam?” 4 it “New wt ,1»va V My i 2.00 m _____.___.__.9 20.0 A A particle with a charge of +4.00 x 10'9 C is moving at a speed of 3.00 x '106 m/s directly away from an inﬁnitely-long wire carrying a current of 20.0 A to the right, as shown above. a) When the particle is 2.00 meters away from the wire, as shown above, what is the magnetic ﬁeld (magnitude and direction) at its location? b) What is the force (magnitude and direction) exerted by this magnetic ﬁeld on the particle at this location? c) What is the force (magnitude and direction) exerted by the charge’s magnetic ﬁeld on the wire? (1) Describe qualitatively what happens to the particle’s speed as it is acted upon by the magnetic ﬁeld of the wire. ,. A .3“; ' < t :2 3. W w :2 » ,, Q) g}: 2%., WW“, 3 2’ 77‘ J” i f at»? mi‘ g}? (gt/{r “Cl ‘2,“ 3: “Le: . é <27“: c ,2? ,. Bi ,{3’ .. 3333:; 2pm? * ﬂvzeJQVRMQ", '2 ineﬂﬁu - \ / +2 {if V“: 5 W: Li , C) 2 a” :3 W3 p %f‘%§:{<ﬁ if if; £5 ﬁg {’wimw‘a “a? .9 The magnetic ﬁeld of the earth at the surface at our latitude is about 0.50 X 10-4 ‘ T. Suppose you place a loop of wire oriented parallel to the magnetic ﬁeld as below: a) If the loop is 10.0 meters on the long sides and 2.0 meters on the short sides, and a current of 2.0 amps is passed through the loop, what is the torque about the axis (the dotted line) through the loop? ' b) The loop is now spun at an angular velocity of 314 s'l. What is the maximum instantaneous emf induced in the loop? Write an expression for the emf induced in the loop as a function of time. a» T If; ”2% ﬂ NI" 5’5“ i4? :2 (“f l f }L;> V2,, ,9: ‘5“ 5,33va 2: 1,63 P“ tea“; pim c, ,> An LRC series circuit is connected to a source of ac emf. R = 10.0 Q, L is unknown, C = 1.00uf, and VmX = 2.00V. a) Draw a schematic diagram of the circuit and label the components with their values. b) At what frequency will the reactance of the capacitor be 20.0 Q? c) At what value of inductance L will the circuit be resonant at that frequency? d) What is the peak current in the circuit at resonance? é “”ng M3“; m'wwg mw a H M 1:, Q! ( ,mcé’xi ...
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physics_6c_f08_final_exam_solutions - 5 a” 1 ‘2 m.t f...

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