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PH 213 (Electricity and Magnetism)
You Should Have Memorized These
| Equation | Name | Eq | Page | Section | Page | |
|---|---|---|---|---|---|---|
| ·=out, ×=in | Representation of Direction | N/A | N/A | N/A | N/A | |
| F=kQ1Q2/r² | Coulomb’s Law | 21-1 | 550 | 21-5 | 549 | |
| ε0=1/(4πk) | Permittivity of Free Space | N/A | 551 | 21-5 | 549 | |
| E=F/q | Electric Field | 21-3 | 554 | 21-6 | 554 | |
| E=kQ/r² | Field From Point Charge | 21-4a | 554 | 21-6 | 554 | |
| E=σ/ε0 | Field Between Plates | 21-8 | 562 | 21-8 | 561 | |
| ΦE=E·A=EA cos θ | Flux for Uniform E | 22-1 | 576 | 22-1 | 576 | |
| ΦE=∫E·dA | Electric Flux Thru Surface | 22-3 | 577 | 22-1 | 576 | |
| ΦE=Qencl/ε0 | Gauss's Law | 22-4 | 578 | 22-2 | 578 | |
| V=U/q=-W/q | Electric Potential | 23-1 | 592 | 23-1 | 591 | |
| V=-Ed | Potential for Uniform E | 23-4 | 595 | 23-2 | 595 | |
| V=-∫E·dl | Electric Potential | 23-3 | 595 | 23-2 | 595 | |
| V=kQ/r, V=0@r=∞ | Potential, Point Charge | 23-5 | 597 | 23-3 | 597 | |
| El=-dV/dl or E=-∇V | E Determined From V | 23-8/9 | 602/3 | 23-7 | 602 | |
| U=QV=kQ1Q2/r | Potential Energy, 2 Charges | 23-10 | 604 | 23-8 | 603 | |
| Q=CV | Capacitance, Definition | 24-1 | 614 | 24-1 | 613 | |
| C=ε0A/d | C of Parallel Plates | 24-2 | 615 | 24-2 | 614 | |
| Ceq=C1+C2 | Equivalent C, Parallel | 24-3 | 618 | 24-3 | 617 | |
| 1/Ceq=1/C1+1/C2 | Equivalent C, Series | 24-4 | 618 | 24-3 | 617 | |
| U=½QV | Energy in a Capacitor | 24-5 | 620 | 24-4 | 620 | |
| u=½ε0E² | Energy Density | 24-6 | 621 | 24-4 | 620 | |
| C=KC0 | Dielectric Constant | 24-7 | 621 | 24-5 | 621 | |
| I=dQ/dt | Current, Definition | 25-1 | 637 | 25-2 | 636 | |
| V=IR | Ohm’s Law | 25-2 | 638 | 25-3 | 638 | |
| ∀(for all)R, W=0 | Vogon’s Law | N/A | N/A | N/A | N/A | |
| R=ρl/A | Resistivity | 25-3 | 640 | 25-4 | 640 | |
| σ=1/ρ | Conductivity | 25-4 | 640 | 25-4 | 640 | |
| P=IV | Electric Power | 25-6 | 642 | 25-5 | 642 | |
| Pavg=½Ipeak²R | Average Power, AC | N/A | 645 | 25-7 | 645 | |
| I=jA | Current Density | 25-11 | 647 | 25-8 | 647 | |
| j=nqvd | Drift Velocity | 25-15 | 648 | 25-8 | 647 | |
| j=σE | E, j, and σ | 25-17 | 649 | 25-8 | 647 | |
| Vtot=V1+V2 | Voltage Adds in Series | 26-1 | 660 | 26-2 | 660 | |
| Itot=I1+I2 | Current Adds in Parallel | N/A | 661 | 26-2 | 660 | |
| Req=R1+R2 | Resistors in Series | 26-2 | 660 | 26-2 | 660 | |
| 1/Req=1/R1+1/R2 | Resistors in Parallel | 26-3 | 661 | 26-2 | 660 | |
| ∑Iin=∑Iout | Junction Rule | N/A | 665 | 26-3 | 664 | |
| ∑V=0 around a loop | Loop Rule | N/A | 665 | 26-3 | 664 | |
| τ=RC | Time Constant | N/A | 670 | 26-4 | 696 | |
| Q=Cε(1-e-t/RC) | Charging Capacitor | 26-5 | 670 | 26-4 | 696 | |
| F=Il×B | Wire in a Uniform Mag Field | 27-3 | 691 | 27-3 | 689 | |
| F=qv×B | Charge in a Uniform M Field | 27-5 | 692 | 27-4 | 692 | |
| μ=NIA | Magnetic Dipole Moment | 27-10 | 696 | 27-5 | 695 | |
| τ=μ×B | Torque on a Loop | 27-11 | 696 | 27-5 | 695 | |
| U=-μ×B, U=0@θ=π/2 | Magnetic Poten Energy | 27-12 | 696 | 27-5 | 695 | |
| B=μ0I/(2πr) | Mag Field, Straight Wire | 28-1 | 710 | 28-1 | 710 | |
| μ0=4π·10-7T·m/A | Permeability of Free Space | N/A | 710 | 28-1 | 710 | |
| ∫B·dl=μ0Iencl | Ampere’s Law | 28-3 | 713 | 28-4 | 712 | |
| B=μ0nI | Mag Field in Solenoid | 28-4 | 717 | 28-5 | 716 | |
| dB=μ0Idl×r^/(4πr²) | Biot-Savart Law | 28-5 | 719 | 28-6 | 719 | |
| ΦB=∫B·dA | Magnetic Flux | 29-1 | 736 | 29-2 | 736 | |
| ε=-dΦB/dt | Faraday’s+Lenz’s Law | 29-2 | 736 | 29-2 | 736 | |
| ε=l·(v×B) | Motional Emf | 29-3 | 739 | 29-3 | 739 |