{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Exam1_2003Spr

Exam1_2003Spr - Physics 8.02 Exam One Spring 2003 PLEASE...

This preview shows pages 1–3. Sign up to view the full content.

Physics 8.02 Exam One Spring 2003 PLEASE DETACH THIS SHEET AND USE AT YOUR CONVENIENCE Some (possibly useful) Relations: F = 1 4 πε o q 1 q 2 r 2 Quadratic formula: 0 2 = + + c bx ax a ac b b x 2 4 2 ± = r E ˆ 4 2 r q o πε = G Circumferences, Areas, Volumes: observer to source from points r ˆ 1) The area of a circle of radius r is π r 2 Its circumference is 2 π r 2 0 1 ˆ 4 V dq r πε = E r G 2) The surface area of a sphere of radius r is 4 π r 2 = surface closed o inside Q ε A d E G G G Its volume is 3 3 4 r π outside to inside from points A d = = b a a b b to a from moving V V V s d E G G G G 3) The area of the sides of a cylinder of radius r and height h is 2 π rh Its volume is π r 2 h 0 = path closed s d E Definition of trig functions V point charge = q 4 πε o r sin is opposite/hypotenuse; cos is adjacent/hypotenuse; = = N i i o i q V 1 4 r r K G πε charges point many tangent is opposite over adjacent; Properties of 30, 45, and 60 degrees ( π /6, π /4, and π /3 radians) : sin( π /6) = cos( π /3) = 1/2, = pairs all j i o j i q q U r r G G πε 4 sin( π /3) = cos( π /6) = 2 / 3 ; sin( π /4) = cos( π /4) = 2 / 1 ; E x = - V x , E y = - V y , E z = - V z Integrals that may be useful a b dr b a = C Q V ) / ln( 1 a b dr r b a = U = 1 2 C V 2 = Q 2 2C = b a dr r b a 1 1 1 2

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
8.02 Spring 2003 Name_____________________ Problem 1 (25 Points) Circle your choice for the correct answer to the five questions below. A: An electric dipole, consisting of two equal and opposite point charges at the ends of a insulating rod, is free to rotate about a pivot point in the center. The rod is placed in a uniform electric field E that is perpendicular to the axis of the rod . The dipole will experience 1. a noticeable electric force and no noticeable electric torque 2. no noticeable electric force and a noticeable electric torque 3. a noticeable electric force and a noticeable electric torque 4.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}