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Final

# PCS 211 Final: Chapter 23.3-23.7 Premium

5 Pages
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School
Ryerson University
Department
Physics
Course
PCS 211
Professor
Alexandre Douplik
Semester
Winter

Description
Multiple charges:rd law: The electric force exerted on q23.3 Coulomb’s Law 0▯ k ek ˆ r: d1stanFor maFnitude: particles = 8.854= : Coulomb co, qant = 8.2175d from q 4 : charges on the two particles (+ or -) ▯ 1 k 0▯ e q r2 q 10 2 1 -12 ˆ = F C 21 F 1 F F 21 = k 12 12 12 /N m (1785, Charles Coulomb) + = e q F F 2 |q 2due to a charge q 1 13 12 , permittivity of free space1||q + 2| / r r 14 10 1to q 2 +••• N m 2 r r 2 /C 2q 2 : F 21 F 21 2 Examples: q 1 2q q q 2 1 3q 3q Example = y xF 31 32 = = = = F 31 31 ▯ ▯ ▯ k ▯ ▯ ▯ k =5 =-2 x 2 y x 8 e | 8 e| + = + 99 ( 3q 99 3 C ▯ : Find the Resultant Force on q yF2 11 32 ▯ a || ▯ a2 || a C = Ns x 10 )2 1q 10 2 in = 9 | 9 | y ▯ 45 11 N C N . N C2 m 2 m a=0.1m N °= cos 2 2 )2 7 ▯ (▯ ▯ ( + 9 45 5 ▯ 7 N ° 10 10 a 9 9 2 ( ▯ F N N 0 C 6 . C6 32 )2 = 1 )( m )( = ▯ m 5 ) ▯ 3 . . )2 10 2 10 3 98 N ▯ x =5 N 6 C6 ▯ F ) ) C 31 = = 11 0 N N NegaPositive charge: q>0q<0 q Thr electric2) DireUtot:of ewton/CoulombThe E(N/C)ic Field Electric field E E is the field produced by other charge, not by test charge. E F rˆ E E E E q▯ k d generated bis the dqrection of point radially toward itfrom it E 0 F electric force F = r2 qq e r0 0 the magnitude of the test charge q r2 q ˆ rˆ on a positive test charge q rˆ F (test charge q E q 0 >0) 0 0 If y >>a,a a dibta2ipole Ex. ElectriThe electric field due to E E = 2E 1 : two charges q and –q separated (comparEng point ch2kge: = E ▯ ▯ ▯ ▯ cos E = e y2 ye 2 1 y aq + 2 ▯ k + 3 a + q e E ▯ ▯2 a2 r2 q + r3 1 y ▯ ▯ ▯ = .... a group of point charges 2 (y k + 2 e E
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