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Test 2 Fall 2007

# Test 2 Fall 2007 - Problem 1(15 pts An isolated large-plate...

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Unformatted text preview: Problem 1 (15 pts) An isolated large-plate capacitor (not connected to anything) with an air gap of 3.5 mm originally has a potential difference of VA — VB = 900 V. Then a plastic slab 3 mm thick is inserted into the middle of the air gap as shown in the diagram. Now the potential difference VA — VB = 310 V. Locations A and B are on the inside faces of the metal plates, directly across from one another, as shown. (a: 12 pts) Calculate the dielectric constant of the plastic slab. Show all work! N05010: VA'Vg‘: 700 V: lel'SI .8 (El: "°°" : 2.57e5‘lzé‘ 36'3‘3’“ "1 31,2}? (ASSUMFS "FK/n/6e'” new oF PLASTIC 514/3 IS SHALL W57“ 57-56: A A _ r o e:— " z E ’A£ VA VB 3! V 3/0 = ~ (— EARL 251—3) - Eswa_C3-Oe'3l ‘ grid-“MD E5945: EARL/K )so 3,0 : —- (— EM (.2re—3) - 561‘ (3.0e-33-5mr(- 9573’?” K 3H3 ; 02 EM“. 2&4) + €724} (3.08"?) 3/0 - 2 Elm (.2324) = €412 (3.0855) K rs (2.5'7e—5'Y3ﬂe ) .5 7‘ 25. :' W K 310 “2(1578506252'3) (b: 3 pts) Location C is on the outside face of the right metal plate, 4 cm below location B. What is the potential difference VA — V5? Explain brieﬂy. .4 V 1 Z: —- .— CMZT nu MeTAL FLA! O ) 50 V8 Vc_o vA—vc = vii—v0 + Ve’Vc = vk—vbrsio V Problem 2 (20 pts): A particular diatomic molecule consists of a positive ion with charge +e and a negative ion with charge —e, separated by a dis- tance of 1.5X10— m, as shown in the diagram. Locations 1, 2, :1 > 3, and 4 are shown in the diagram. 3 :1 be. so (a: 15 pts) Location 1 is 2X10_8 m from the center of the mole— T A I cule, and location 2 is 3x10‘8m from the center of the mole- g E‘ cule.Calculate the potential difference V2 — V1 , both 1‘ magnitude and sign. Show all steps in your work. ‘ /E/: 9192.0 2%; - ........ .. 3 Vﬁ—V‘: —f2E.,a-‘: "fl/E’Jr‘ a: -jrz / {fgjafr I” WW; *3 mo", V A A {516M 0K) 5 5.04? me As AZ) (b: 5 pts) Location 3 is ZXIO—8 m from the center of the molecule, and location 4 is 3><10—8 m from the center of the mole- Icule.Calculate the potential difference V4 — V3 , both magnitude and sign. Show all steps in your work. 0N J. AXIS) E m “X p/K 5 A 4Q m +7 0172 §°A?=O Problem 3 (E p11.) A ntgativcly chargad cltlmjde inn ind-urea in the: positive x I direction. {+3 is to the right. +y is up. and -z is out :1!" the [d E} page.) Draw or indicate the direction {tithe magnetic field - mad: by tht: chloride ion at IJ'it: I'uur iucatiuns marked by an E "x". Eran}r are mere. say so explicitly. : E' 'i ZERO ___'_E_"ﬂ_£_li? _ _ _ _ [email protected]—h>____x_______.-..._r Problem 4 (20 pts) A compass originally points North. You lay a wire on top of the compass, oriented North— South. The wire is about 4 mm above the compass needle. You connect the wire to a battery, and the compass needle deﬂects 14 degrees to the East, as shown. (a: 4 pts) On the diagram draw an arrow indicating the direction of conventional current in the wire. (b: 16 pts) Calculate the magnitude of the conventional current in the wire. Show all steps in your work. ASSUME L>5 r) Bwuﬂ€ Lin 7;.— I: mee r : <7.‘7?e~é)(’/e—3) R (/e *7) North ...
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