Phys 118 Formula Sheet 2018W Constants: c = 3.00 × 108 m/s |el = 1.60 × 10-19 C Charges, Force and Field Q = Npe - Nee F12 = Ke ~2 12 Eline = % 2|? 4TTE0 y Charge densities: D L n = D ! Dipoles: ?=p×È NA = 6.02 . 1023 mole-1 ke = - 4??? % - = 8.99 · 109 Nm2/C2 É(x, y, z = Fon g at ex9y9z4 . (Ering), = z Q 4TTE 0ER2 +z2 43/ 2 V p = 2 Ecapacitor = D T = q s E sine Gauss's Law: §? · dà = Qin €0 s b = d Dot product: À · B = A B cose Potential and Potential Energy Work done: W = Jf F . d? (general) W = qË · Af (uniform field) Potential Energy, two point charges: Po = 4Tt . 10-7Tm/ A €0 = 8.85 . 10-12 C2 / N m2 or F/m Epoint charge = ke 2 Edisk = J 9 2 60 |1- VR2+z2 Electric Potential Energy: Wel = - AUel = - (Uf - Ui Three point charges: Uel = K 9192 9192 I12 U =K 4192 +K 91 93 +K 92 93 r Potential difference: of a uniform field: I23 Potential of a point charge: V = Kª AV = AU qo AV = - J? . di Parallel-plate Capacitor: Q = C · AV C = €04 |AV| = El / dl E1 = - a dV AVloop = 0 AVc = Ed Uc =Q‘ _. 1 = = C(DV ) 2C 2 Ceq = C1+ C2+C3+ ... (parallel capacitors) Con (+ 2+ + ... ) 1. (series capacitors)
Current and Resistance: 1 = do dt J=4 A J =0 E =E |p I = AV R (Ohm's law) R = PL PR= IAVR = 12R = (AVR)2 (power dissipated by a resistor) R Req = R1 + R2 + R3 + ... (series resistors Req R1 1 = 1 + 1 ++ + ... (parallel resistors R3 Loop rule: AVloop = 0 Junction rule: ? ??? = ? ???? Discharging a Capacitor: Q = Qoe-1/T T = RC $ Charging a Capacitor: Q = Qmax (1 - e-1/7) Magnetism: 1 = 1&x [& l& = 000$0000 Cyclotron motion: F = ma > quB = mv2 r Magnetic force on a wire: FB = IL x B Magnetic fields: ? point charge Mo qvxr 4Tt r2 Bwire MOI 2TER Current loops: B 0 µ I = 2 R fc = 1ªB 2Tt m Torque on current loop: & &x & Magnetic moment: [&= [[& dF e = m Bsolenoid = ?? - I = ponI Faraday's law dt Nuclear Physics and Radioactivity: 1 u = 1.661x10-27 kg 1 u = 931.5 MeV/c2 1 Ci = 3.7 x 1010 Bq r = ro A1/3 To = 1.2 × 10-15m ! ! with F = ÒB · dA loop area 1 eV = 1.6 x 10-19J B + mnuc C2 =