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physics_6c_sp09_exam_2_solutions

physics_6c_sp09_exam_2_solutions - 1(30 points a Find the...

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Unformatted text preview: 1. (30 points) a) Find the current through (including direction) and voltage drop across each resistor. b) Find the power dissipated in each resistor. . Q 3 MVV-«J‘r i 9‘ “(A i / ’k’gpou “'Q'A‘sawl‘ﬂ‘f'go 31+“) @ QIWWJ.‘ but 1 I ;‘ /"\\ *§,Go + L{.,W3,2 " 3393;: *2th i; 3 (g Ar Gi ﬁght“? A l f T e S H f“; ' \ ﬁ" (4" 3 CV” ( r 47 i, Q ‘7 _ 3 7/ (wk/Q“? G) .4; Q) , ‘on‘ ‘5’.001§+1co ’0 thaw A " ‘ - 2. (30 points) Two ﬂat metal plates, each of area 2.00 m2, are placed parallel to each other in air (K = 1.00) and charged, one with +10.0 MC and one with ~10.0 “C. a) What is the magnitude of the electric ﬁeld between the plates? b) The space between the plates is ﬁlled with mica (K = 5.40). What is the electric ﬁeld between the plates now? c) The potential difference across the plates (with the mica) is measured to be 1.00 x 102 volts. What is the separation between the plates? d) What is the capacitance of this arrangement? - C. 2?" , “5;"; .2 10220 4“,,” 3.. ,2 ,. 2.5“ @Cl \ E O / {72) W ”2,,megb ‘7 \$v3ﬁ§f {Vanna 23 r{?\ Xi ‘3 Vfﬂ (”ML ' g :’,‘f 3" E3.“ .7 0 5 I? 2 a“; V}! i\\2§/) L3,) L K ( I i " m t 70) >2 ; , 42%;? 2:22 M . 2mm 7 a.) g; 22/... 202m, . g (.OL) 7‘2 <> 1’ VI 22 C Q :5 {2.2 T) Q? 9 if “3;: T) 3. (40 points) A metal sphere of radius 10.0 cm is charged by a Van de Graaff generator to a potential of 1.00 x 105 volts. - a) What is the total charge on the sphere, surface charge density, and electric ﬁeld just outside the surface of the sphere? The sphere is now disconnected from the generator and then connected by a long, thin wire to another metal sphere, of radius 1.00 cm, several meters away. Before the connection is made, the other sphere is uncharged. After equilibrium is reached, b) what is the total charge and charge density on each sphere? c) what is the electric potential of each sphere? (1) what is the electric ﬁeld just outside the surface of each sphere? Assume the amount of charge left on the wire is negligible. Hint: What is conserved? \¢@ (:23 «A « My , «:3 g; :3: «w! I V- r‘ / g £4? iwi/[email protected] @C ;;E:> ’” i A ”r, {’9 "1’ «£3« - MW e/w a ,7». "r“ xi: «3 la“: 75;”; (Wm) «Am {3/ b\ f’imw‘va‘ “WE agar??? 5in 9%”)A {alfwéﬁxwki ...
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