formulaf - PHYS 125 Formula Sheet Spring 2008 Units and...

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Unformatted text preview: PHYS 125 Formula Sheet Spring 2008 Units and Constants e = 1.6 10-19 C me = 9.11 10-31 kg k = 8.99 109 Nm2/C2 -12 C2 /Nm2 0 = 8.85 10 0 = 4 10-7 Tm/A c = 2.998 108 m/s v = 343 m/s ELECTROSTATICS F = E= 1 q1 q2 kq1q2 = 2 r 4 0 r2 F = q0 E E= q F q0 4 0r2 = v A = vA cos = E dA 0 = qenc MATH FORMULAS AREA 2 circle : R sphere : 4R2 cylinder(curved part) : 2RL VOLUME 4 3 cylinder : R2 L sphere : R 3 OTHER d n ds = rd (x ) = nxn-1 dx xn+1 dx = ln x xn dx = n+1 x dx = ln x + x2 + a2 (x2 + a2 )1/2 x dx 1 =- 3/2 (x2 + a2 ) (x2 + a2)1/2 dx x = (x2 + a2)3/2 a2 (x2 + a2)1/2 = 0 E dA = qenc = charge volume E= 20 charge area charge length = E= 0 CHAPTER 24 Wapp = -W = Uf - Ui U V = q0 Uf Ui U V = Vf - Vi = - = q0 q0 q0 f Vf - Vi = - V = V s V Ey = - y q 4 0r i E ds CHAPTER 25 q = CV V = Ed q 0A E= C= d 0A Ceq = C1 + C2 + C3 + ... 1 1 1 1 = + + + ... Ceq C1 C2 C3 q2 1 U= U = CV 2 2C 2 q C = C0 E= 0A Es = - V x V Ez = - z 1 q1 q2 U= 4 0 r12 Ex = - PHYS 125 Formula Sheet Spring 2008 CHAPTER 26 dq dt i J= A i= vd = q= i= i dt J dA CHAPTER 30 B = B A B = B dA E = -N E = Blv i J = neA ne V = iR E = J V2 L R= P = iV = i2R = A R dB dt B 2l2 v 2 P = R CHAPTER 16 y(x, t) = ym sin(kx - t) 2 1 k= f = f= 2 T v = = = f v= k T y = 2ym cos sin kx - t + 2 2 1 2 Pavg = v 2 ym 2 v v f= n f= n 2L 4L CHAPTER 28 F =q vB n= r= mv qB f= |FB | = qvB sin qB 2m Bi V e f= qB 2m F = iL B = NiAB sin CHAPTER 17 CHAPTER 29 0 ids r 4 r3 0 ids sin dB = 4 r2 b 0 i s B= 4R s2 + R2 a 0 i 0 i B= B= 2R 4R 0 Liaib Fba = 2d dB = B ds = 0 ienc B = 0 in L t = = 2 T P P I= I= A 4r2 1 I = v 2s2 m 2 I = (10dB) log I0 = 10-12 W/m2 I0 v vD fbeats = |f1 - f2 | f =f v vS CHAPTER 35 d sin = m d sin = m+ 1 2 ...
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