# Light and Matter

This library contains subcategories for chapters in the entry level general physics textbook, Light and Matter by Dr. Benjamin Crowell. Each chapter and sub-chapter has a dedicated web page that includes the complete open-source text and graphics.  However, these pages also have the unique feature of vCalc enabled formulas.  Wherever the user sees a solvable formula, vCalc has activated a link behind the formula that pops-up a calculator with that formula preloaded.  This give the reader the ability to use the formula in an accurate calculator at the moment they encounter it.  Furthermore, at the top of every page is a formulary box containing a quick reference to all of the formulas that appear in the chapter.  This formulary box is useful for homework assignments associated with that chapter.

Note that Light and Matter has been adopted by a number of high schools, colleges and universities.  You can see a list of adopters <here>.  Please let vCalc know if your high school, college or university had chosen to adopt Light and Matter.

Special thanks to Dr. Crowell for his open source physics textbook, Light and Matter.

## Light and Matter Equations

• v_x = w*sqrt(g/(2h))
• Escape Velocity
• I (Ohm's Law)
• Kinetic Energy [m,v]
• Momentum of a Photon (p)
• Velocity [Distance, Time]
• Velocity from Kinetic Energy and Mass
• wavelength (velocity/freqency)
• "efficiency"=1/(1+(I^2*R_T)/P_L)
• "efficiency"=1/(1+(IDeltaV_T)/P_L)
• "efficiency"=1/(1+P_T/P_L)
• "efficiency"=P_L/(P_L+P_T)
• ("average lifetime")=ln2/t_(1"/"2)(t_(1"/"2)/ln2)^2
• a = F / m (acceleration)
• a=(4Th)/(muw^2)
• a=(dF)/(dm)
• d_i
• d_i angular equation
• d_o angular equation
• Deltap=(2h)/L
• Deltatheta=lambda/d
• DeltaV=(kQ)/r_2-(kQ)/r_1
• DeltaV_T=IR_T
• dq
• E=(h/lambda)^2/(2m)+PE
• E=(kq)/(2b^2)
• E=p^2/(2m)+PE
• E_A=((kq)/r_B^2)((4pir_B^2)/(2pir_AL))
• E_A=E_B(A_B/A_A)
• E_x=(1-2^(-3/2))(kq)/(b^2)
• E_y=(kq)/(2^(3/2)b^2)
• F=(4Th)/w
• f=E/h
• gammatilde=1+v^2/(2c^2)
• h=1/2at^2
• I(t)=omegaCtildeVcos(omegat)
• I=-1/(RC)q
• I=C(DeltaV)/(Deltat)
• I_"total"=(DeltaV)/R_1+(DeltaV)/R_2
• KEtilde=m(1+v^2/(2c^2)-1)c^2
• L=1/(Comega^2)
• L=C/(2pi)*(hl)/C
• lambda=(2h)/(mv)
• lambda=(2h)/p
• lambda=(vh)/(1/2mv^2)
• lambda=(vh)/E
• omega=1/sqrt(LC)
• omega=2pif
• P=((1/(8pik)|E|^2+c^2/(8pik)|B|^2)v)/(hf)
• p=(hf)/(flambda)
• p=(hl)/C
• P=2((1/(8pik)|E|^2)v)/(hf)
• q'=2q
• r=d-z
• rho=m/(4/3pir^3) (density)
• rr'=k^2
• t=sqrt((2*h)/a)
• theta=(mlambda)/d
• theta_i
• theta_i (small angles)
• theta_o (small angles)
• tildeItilde=omegaCtildeV
• tildeItilde=tildeV/Z_C
• V(t)=tildeVsin(omegat)
• v=(ah)/c
• v=aDeltat
• V=IR
• v_g=(dE)/(dp)
• v_g=p/m
• V_L=(DeltaI)/(Deltat)
• V_L=L(DeltaI)/(Deltat)
• x=h/f
• z=p/h
• z of the envelope
• A line of charge
• Absolute Value of Electrical Energy of Electron
• Amount of power dissipated
• Angular Magnification
• Angular Momentum
• Angular Momentum (rp)
• Approximate group velocity
• average lifetime of an atom
• Capacitor's Energy
• Change in electrical energy of a particle
• Change in Potential Energy between two points
• Change in voltage between two points
• Charge per unit length
• Complicated Circuit (switch closed)
• Complicated Circuit (switch open)
• Correspondence Principle
• Coulomb's Law
• Cumulative Charge
• Current