8.022pset1

# 8.022pset1 - -q is at coordinate x = 0 y =-b-2b x y(a...

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Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Assignment 1: Electric forces and electric fields Post date: Thursday, February 5th Due date: Thursday, February 12th Be sure to write your name and section number on your pset Please staple multiple pages together 1. Purcell 1.3: Charged volleyballs (5 pts) 2. Purcell 1.5: Electric feld o± a charged arc (10 pts) 3. Purcell 1.9: Potential energy o± a sphere o± charge (10 pts) 4. Purcell 1.11: Pair o± point charges (10 pts) 5. Purcell 1.16: Sphere o± charge with a spherical hollow (10 pts) 6. Purcell 1.17: Flux and cube (10 pts) 7. Purcell 1.34: Equilibrium angle o± charge distribution (15 pts) 8. Electric dipole (15 pts): a pair o± charges lie in the x - y plane. The charge q is at coordinate x = 0, y = b ; the charge

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Unformatted text preview: -q is at coordinate x = 0, y =-b . +-2b x y (a) Evaluate the electric feld (magnitude and direction) on the x axis. Show that ±or x À b , | ~ E |∝ 1 /r 3 . What is the direction in this limit? (b) Evaluate the electric feld on the y axis. Find the magnitude and direction ±or y À b . 9. Coulomb ±orce between line charges (15 pts): A rod o± length l 1 with line charge density λ 1 and a rod o± length l 2 with line charge density λ 2 lie on the x axis. Their ends are separated by a distance D as shown in the fgure. l l D 1 2 (a) What is the ±orce ~ F between these charges? (b) Show that for D À l 1 and D À l 2 , this force reduces to the Coulomb forces between a pair of point charges, q 1 = l 1 λ 1 , q 2 = l 2 λ 2 ....
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8.022pset1 - -q is at coordinate x = 0 y =-b-2b x y(a...

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