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### 68 Cards in this Set

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 What are the two forms of Coulomb's Law? F= ke*qs*qf*r hat/r^2 F=ke*qs*qf*r vector/r^3 What is the relationship between potential energy and force? U(x) = -∫ Fdx F = -dU/dx What is the equation for the potential energy of two point charges? U(r)=ke*qs*qf/r What changes occur to an object as it approaches the speed of light? length contracts, mass increases, time slows down What is the equation of a stub? s=rh hat X l What is the stub force proportional to? the charge of the field particle, the thread density, and betaXs What is the Lorentz force equation? F=qfEs+qfvf X Bs What are the equations for electric potential? V=U/q V(x) = -∫ Edx How can you tell the direction of a field by it's field lines? The direction is tangent to the line at a given point. What are two ways of estimating the strength of a field? Number of lines thru contour/area number of contours thru line/length What is the change in kinetic energy of a particle in an electric field? DeltaK = -qDeltaV What is the general motion of a charged particle in a uniform magnetic field? a helical path What is the equation for the cyclotron radius? p=qBr What two equations do we need to know to derive the cyclotron radius equation? F=mv^2/r F=qvB What is the equation for a mass spectrometer radius? (1/B)*(sqrt(2mDeltaV/q)) What is the general equation for current? I=Delta q/Delta t Relate an electron's circuit voltage to its potential energy? U=qV What are the three equations that have to do with resistors? V=IR P=IV R=rho l/A What is the potential energy of the earth? 0V What is the charge on an object with respect to charge density? q= ∫rho dV What is dA for a square? dA=L dx What is dA for a disk? dA=2 pi r dr What is dV for a cylinder? cut in little cylinders: dV=2 pi r L dr cut into disks: dV=pi r^2 dz What is dV for a sphere? dV=4 pi r^2 dr What is Gauss's Lavv of Electricity? EA = 1/epsilon ∫rho dV How many junction equation are there in a circuit? One less than the number of junctions. How many loop equations do you need to analyze a circuit? # loop eq.=# currents-#junction eq. What is the magnetic field of a long, current-carrying wire? B= (mu0 i )/(2pi r) What is the equation for charge and capacitance? Q = CV What is the equation for the electric field inside a capacitor? E=V/d What is the geneeral equation for capacitance? C=epsilon0*A/d What is the eq. for the energy stored in a capacitor? U=.5*C*V^2 What is the equation for an RC time constant? tao = RC What is the eq. for Q in RC charging? Q(t)= Q(f)*(1-exp(-t/tao)) What is the eq. for an electric field inside a spherically symmetric charge distribution? E= Qenc/(4*pi*epsilon0*r^2) Give 2 practical expression for flux. flux = field*area Flux=EA=qenc/epsilon0 What is the eq. for a line intergal? A=Bl=mu0*ienc What is the Biot-Savart law? B=(mu0*i/4*pi)∫(dlXR)/R^3 What is the eq. for the force on a segment of current carrying wire? F= iLXB What is the equation for the magnetic dipole moment of a current loop? mu=iA, where A is the direction of your thumb when your fingers wrap in the direction of the current. What is the torque on a magnetic dipole in a magnetic field? tao=muXB What is the potential energy of a magnetic dipole in a magnetic field? U=<-mu, B> What is the torque on an electric dipole in an electric field? tao=pXE What is the potential energy of an electric dipole in an electric field? U=<-p, E> What is the magnetic susceptibility? Bint=chi Bext The electric and magnetic fields of accelerating charges fall of as what with respect to r? 1/ r rather than 1/ r ^2 How are the directions of E, B and r related for an accelerating charge? EXB=r How do you find the E of an accelerating point charge? E=rX(rXa) How do you find the B of an accelerating point charge? B= rXE How are the magnitudes of the electric and magnetic fields are related? E=cB If current increases or decreases in a wire, an induced electric field points _____ the acceleration. opposite What is displacement current? hypothetical current that would give rise to the magnetic fields between capacitors. What is the equation for displacement current? i dis = mu0 epsilon0 dflux/dt Define inductance. V=-Ldi/dt What is eq. for the energy stored in an inductor? U=.5Li^2 What is the LR time constant? tao=L/R What is the angular freq. of an LC circuit?q omega=1/(LC)^(1/2) What is the impedance for series LRC circuits? Z=((Xl-Xc)^2 +R^2)^(1/2) What is Xl? Xl=omegaL What is Xc? Xc=1/(omegaC) What is the eq. for freq. in and LRC circuit? f=omega/(2pi) How do you find theta in an LRC circuit? tan(theta)=(Xl-Xc)/R What colors represent hot wiring? black and red or black tape What colors represent neutral wiring? white What colors represent grounded wiring? green and bare What are the advantages/disadvantages of copper vs. aluminum? copper is better aluminum is cheaper Which slot is hot in an outlet? short What's the wavenumber? k=2pi/lambda