height d distance I rotational inertia E electric field 2 2 2 a x x u u e emf J

# Height d distance i rotational inertia e electric

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= height d = distance I = rotational inertia E = electric field ( 2 2 0 2 a x x u u = + - e = emf J = impulse 0 = Ú E A i Q d H9280 K = kinetic energy F = force net m Â = = F F a k = spring constant I = current dV E dr = - d dt = p F = length J = current density L = angular momentum L = inductance m = mass = length 0 1 4 i i i q V r p = Â H9280 dt D = = Ú J F p N = normal force n = number of loops of wire per unit length P = power m = p v N = number of charge carriers per unit volume p = momentum 1 2 0 1 4 E q q U qV r p = = H9280 r = radius or distance fric F N m £ P = power r = position vector Q = charge Q C V = T = period = Ú F r i W d q = point charge t = time R = resistance U = potential energy 2 1 2 K m u = 0 A C d k = H9280 r = distance u = velocity or speed t = time W = work done on a system U = potential or stored energy dW P dt = p i i C C = Â x = position V = electric potentia l m = coefficient of friction u = velocity or speed q = angle 1 1 s i i C C = Â = F v i P r = resistivity t = torque g U mg D = h f m = magnetic flux w = angular speed dQ I dt = k = dielectric constant a = angular acceleration 2 2 c a r r u w = = f = phase angle 2 1 1 2 2 c U QV CV = = 0 m = Ú B i d I H5129 s k = - F x = ¥ r F t net I Â = = t t a 2 2 I r dm mr = = Â Ú cm m m = Â Â r r r u w = I = ¥ = L r p w 2 1 2 K I w = 0 t w w a = + 2 0 0 1 2 t t q q w a = + + 2 1 2 s U k = x ) R A r = I d d r 0 3 4 m p ¥ = r B H5129 max cos( x x t w f = + r = E J I d = ¥ Ú F B H5129 d I Ne u = A 2 1 T f p w = = 0 s B nI m = V IR = f = Ú B A i m d f e = =- Ú E i m d d dt H5129 dI L dt e = - 2 1 2 L U L = 2 s m T k p = i i s R R = Â 2 p T g p = 1 2 2 ˆ G Gm m r = - F r 1 1 i i p R R = Â P IV = I M q = ¥ F v B 1 2 G Gm m U r = -
© 2012 The College Board. Visit the College Board on the Web: . ADVANCED PLACEMENT PHYSICS C EQUATIONS DEVELOPED FOR 2012 GEOMETRY AND TRIGONOMETRY CALCULUS Rectangle A = area C = circumference A bh = V = volume Triangle S = surface area 1 2 A bh = b = base h = height A = length Circle w = width 2 A r p = r = radius 2 C r p = Rectangular Solid V w h r = A Cylinder 2 V r p = A 2 2 2 S r p p = + A Sphere 3 4 3 V r p = 2 4 S r p = Right Triangle 2 2 a b c + = 2 sin a c q = cos b c q = tan a b q = c a b 90 ° q d f d f du dx du dx = ( ) 1 n n d x nx dx - = ( ) x x d e e dx = ( ) 1 ln = d x dx x ( ) sin cos d x x dx = ( ) cos sin d x x dx = - 1 1 , 1 1 n n x dx x n n + = π + Ú - x x e dx e = Ú ln dx x x = Ú cos sin xdx x = Ú sin cos xdx x = - Ú
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