Final_CribEdited

# Final_CribEdited - Coulombs Law F=k(q1q2/r2...

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Coulombs Law F=k*(q 1 q 2 )/r 2 E field =F/q 0 =k(q)/r 2 [vector] Electric Potential ΔU=U f -U i =-W if =-∫F* d s F=q 0 *E field ΔU=-q 0 *∫E* d s ΔV=ΔU/q 0 =-∫E* d s V=k(q)/r [scalar] U=qV Gauss Law §E*dA=q/ε 0 Φ electric =§E*dA semi-conductor= φ E =EL(2r) q/ ε 0 =EA Capacitance C=q/V= ε 0 (A/d) Parallel Series C=q/V= ε 0 *A/d V 1 =q/C 1 q=C 1 V, q=C 2 V V 2 =q/C 2 q total =q 1 +q 2 V tot =V 1 +V 2 C total =C1+C2+ 1/C tot = 1/C 1 +1/C 2 V is constant emf same, all R q is constant i is constant 1/R=1/R 1 +1/R 2 R=R 1 +R 2 U=(1/2)(q)/V=(1/2)CV 2 =q 2 /2C u =.5 ε 0 E 2 =U/(A*d) Energy Density Maxwell’s Equations §E* d A=q/ ε 0 §E* d s= - d φ B /d t §B* d A=0 §B* d s= μ 0 ( i + ε 0 ( d φ E /d t)) Current Flow i= d q/ d t R=V/I (In ohms law, R is constant) R= ρ (L/A) [ ρ is density] ρ - ρ 0 = ρ 0 *α(T-T 0 ) [in semi conductor as temp decreases, resistance increases] P=iV [rate of energy usage] Є= d W/ d q [Є=emf] Є-ir 0 -ir=0 Є=i(r+r 0 ) P=i 2 R=V 2 /R=(Є/(r+r 0 )) 2 R [power] Biot Savart Law dB=(μ 0 /4π)*((i* d s*sinθ)/r 2 ) semi-circle=B=(μ 0 /4)*((i)/r) circle=B=(μ 0 /2)*((i)/r) Amps Law §B* d s= μ 0 *i enc B=( μ 0 *i)/(2πr) [outside conductor] B=(( μ 0 *i)/(2πr))*(r 2 /R 2 ) [inside conductor] B= μ 0 i 0 n [in solenoid] Faradays Law (Henrys Law) Є=- d Ф B / d t=iR [through loop] Є=-N*( d Ф B / d t) [through coil with N turns] d Ф B / d t=A* d B/ d t Gauss’ law relates the electric fields at points on a closed Gaussian surface and the net charge enclosed by that surface. The electric flux Ф through a Gaussian surface is proportional to the net number of electric field lines passing through that surface. If an excess charge is placed on an isolated conductor, that amount of charge will move entirely to the surface of the conductor. None of the excess charge will be found within the body of the conductor. When a potential difference V is applied across several capacitors connected in parallel, that potential difference V is applied across each capacitor. The total charge q stored on the capacitors is the sum of the charges stored on all the capacitors Capacitors connected in parallel can be replaced with an equivalent capacitor that has the same total charge q and the same potential difference V as the actual capacitors. When a potential difference V is applied across several capacitors connected in series, the capacitors have identical charges q. The sum of the potential differences across all the capacitors is equal to the applied potential difference V Capacitors that are connected in series can be replaced with an equivalent capacitor that has the same charge q and the same total potential difference V as the actual series capacitors The potential energy of a charged capacitor may be viewed as being stored in the electric field between its plates A current arrow is drawn in the direction in which positive charge carriers would move, even if the actual charge carriers are negative and move in the opposite direction Ohms law is an assertion that the current through a device is always directly proportional to the

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Final_CribEdited - Coulombs Law F=k(q1q2/r2...

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