PY 208 Equation Sheet Final Exam.pdf

PY 208 Equation Sheet Final Exam.pdf - PY 208 Equation...

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PY 208 Equation Sheet dV dq dA dq dl dq r r dq E r r Q E r s l pe pe = = = = = ò , , ˆ 4 1 ˆ 4 1 2 0 2 0 ! ! 0 enclosed e Q A d E A d E A E E E = × × = F × = F ò ò ! ! ! ! ! ! z V E y V E x V E r Q Q U r dq V r Q V d E V l d E V V V V q U z y x B A A B BA - = - = - = = = = × - = D × - = - = D D = D ò ò , , 4 1 4 1 4 1 2 1 0 12 0 0 pe pe pe ! ! ! ! ( ) E p pE W E p U Q p ! ! ! ! ! ! ! ´ = - = × - = = t q q 1 2 cos cos l r E E E 0 0 0 2 2 pe l e s e s = = = 0 21 2 2 1 12 4 1 ˆ pe = = = k r r Q Q k F E q F ! ! ! ( ) 2 force ve conservati by 2 2 2 1 2 1 mv K U K U K W U d F W d F W r mv F mg F t a t v r r t a v v a m F i i f f b a c g i i f i f = + = + - = D × = × = = = D + D + = D + = = ò l ! ! ! ! ! ! ! ! ! ! ! ! ! K E E K KC C C C C C C C C C C Q CV QV U d A C CV Q vacuum eq eq ! ! = = = + + + = + + + = = = = = = , , ... 1 1 1 1 ... 2 1 2 1 2 1 0 0 3 2 1 3 2 1 2 2 0 e e e Ir V R R R R R R R R R V R I IV P A R IR V dt dQ I t Q I eq eq - = + + + = + + + = = = = = = = D D = E terminal 3 2 1 3 2 1 2 2 ... 1 1 1 1 ... , l r ( ) ( ) RC e V V e Q Q e R I e C Q e V t c t t t t c = = = = - = - = - - - - - t t t t t t 0 0 1 1 E E E q q sin ˆ ) ( ˆ ) ( ˆ ) ( cos B A B A k B A B A j B A B A i B A B A B A B A B A B A B A B A B A x y y x z x x z y z z y z z y y x x !

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• Spring '08
• Riehn

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