106EqSheet2.doc

# 106EqSheet2.doc - Kinematics Newtons Law Conservation of...

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Kinematics v = v 0 + a ·t x = x 0 + v 0 ·t + ½· a ·t 2 v 2 = v 0 2 + 2 a ·( x x 0 ) v = ( v + v 0 ) / 2 Newton’s Law F = m· a F gravity = m· g g = 9.80 m/s 2 Conservation of Energy KE 1 + U 1 + W in/out = KE 2 + U 2 Energy Kinetik (linear): KE lin = ½ m v 2 Potential (gravity): U g = m g y Work W = F d = F d cos Power (electrical) P = W/t = E/t P = I V = I 2 R = ( V) 2 / R Coulomb force F = k e q 1 q 2 / r 2 r k e = 1/4  o Electric field E = F /q = volume e r r dq k 2 = - V E = k e q r / r 2 for a point charge Electric flux E = surface A d E Gauss Law E = ace closedsurf A d E = q inside / o = 4 k e q inside Potential energy U = U B - U A = B A s d E q = q V Potential V = U / q = B A s d E (= k e q/r point charge) Capacitance C = Q/ V [ = o A/d parallel plate C] C eq = C 1 + C 2 + C 3 + … [parallel combination] 1/C eq = 1/C 1 + 1/C 2 + 1/C 3 + …[series combination] U = Q 2 /2C = ½ Q V = ½ C ( V) 2 [energy stored in C] Charging/discharging of Capacitor q(t) = Q (1 - e -t/RC ) I(t) = ( V/R) e

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