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mid2sol - PROBLEM 1 The figure shows an arrangement of...

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Unformatted text preview: PROBLEM 1. The figure shows an arrangement of four charged particles, with angle 6 = 30° and distance d 2 2.00 cm. Particle 2 has charge (12 = +8.00 )(10_19 C; particles 3 and 4 have charges q3 = (14 = «—1.60 x 10—19 C. I" needed, use k = 1/(47reo) 2 8.99 x 109 N - mz/C2 (a) What is distance D between the origin and particle 2 if the net electrostatic force on particle 1 due to the other particles is zero? (b) f charge ql is removed and particle qg is moved gradually along the 3; axis, at what value of a: will the magnitude of the electrostatic force on g? from the other two particles (gs and q4) be maximum? (c) What is the maximum magnitude of this force? (0») F: cl/cOsa' ”-114 ri-e'l £0FKQ On I Glut +0 o‘lLer --5 Pqfllklel l2”) taro :3 E = 0 °" I E 3' E£+E5*Eu low-l £23.20 [o‘cw 0'3: OIL' / QWOI Tl’bt Jaw-malnrxj bf. ”llnt. tarot-3’9“- Thgrefor-e/ m.) CI“; 4» mqlCc)8 - Rut]. " O fi> [‘1 Fl (cl-t9)?- 23 D: ol( W‘y—‘Ur 0.96i0)ol :3 D- (E) -" A A EMU) : 41m t +0 3 1. Ex“) = eulasl wa’ (C13: alt) (W x ----— ,) (6&1+X1)(G\+X‘)|2 I 0|“:le '1' O :> PROBLEM 2. The electric field at point P just outside the outer surface (r = b) of a hollow spherical conductor of inner radius a = 10 cm and outer radius 5 = 20 cm has magnitude 450 N / C and is directed outward. Whe-n an unknown positive point charge (1 is introduced into the center of the Sphere, the electric field at P is still directed outward but it is now 675 N / C. If needed, use is = 1/ (47mg) 2 8.99X 109 N-mz/C2 (a) What was the net charge Q on the conductor before q was introduced? (b) ’Nhat is charge q? And after q is introduced, what is the charge on the inner and outer surface of the conductor? (0) if the conductor is replaced by an identical spherical nonconducting shell with the same charge Q spread uniformly throughout the volume, what is the magnitude and direction of the electric field at a radial distance of 15 cm? Ignore the point charge q. (a) From E 7— Q =3 Q: E L71 _ .01 7 .| ‘6) 'qurgLDI'Q’ a: +€_OOXIO C. PROBLEM 3. The figure shows a 12.0 V battery and four uncharged capacitors of capacitances Cl 2 1.00pF, 02 =: 2.00MF, 03 = 3.00pF, and C4 = 4.00pF. (a) if both switches are closed, what is the equivalent capacitance of the combination? (1’)) 'With both switches still closed, what is the charge on capacitor 1? (c) If only switch 81 is closed, what is the charge on capacitor 1? C1 l I‘ l C C C II Cil'C-L: g/‘AF his (3 also The clrICkf‘ae 0/) Cl .‘ l , 4:.V = B ; 2.5.2. _ 8? ‘1 \/ c' 3 Therefore, Q 2 C AV! : C' ‘ . fl (<3 a [—I _._l—- ; _I_ _.L =3 C l _ CI Cl (II + (a (B/Lt>/‘(F 8 —L 1: —L— 4 J— 2?) C/(- l, F CI" (‘1 '(q ( /3>/( ...
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