Supplementary Notes for Physics 2 Discussion

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# Supplementary Notes for Physics 2 Discussion - PowerPoint PPT Presentation

Supplementary Notes for Physics 2 Discussion. Tomoyuki Nakayama a.k.a Tom I just started to make the notes so don’t expect too much . Electric Field is produced by charges. Electric field due to point charge q is given by: E = (1/4 π ε )(q/r 2 ) (Coulomb’s law)

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### Supplementary Notes for Physics 2 Discussion

Tomoyuki Nakayama a.k.a Tom

I just started to make the notes so don’t expect too much

Electric Field is produced by charges.

Electric field due to point charge q is given by:

E = (1/4πε)(q/r2)

(Coulomb’s law)

If you can choose a closed surface on which E is constant, you can use

E┴A = Qin/ε (Gauss’s Law)

Magnetic Field is produced by moving charges or currents.

Magnetic field due to a moving charge or current element is given by:

B = (μ/4π)(qvsinθ/r2)

= (μ/4π)(IΔLsinθ/r2)

(Biot-Savart Law)

If you can choose a closed loop on which B is constant, you can use

B║L = μIin (Ampere’s Law)

Fundamentals of Electric & Magnetic Field
Electric field due to a uniform charge distribution along a long, straight line.

Magnetic field due to a steady current in a long, straight wire.

Application of Gauss’s Law & Ampere’s Law
RLC in Series

I is common. (So we use I as a reference.)

ΔV across R is in phase w/ I & ΔVR = RI

ΔV across L is 90º ahead of I & ΔVL = XLI.

ΔV across C is 90º behind I & ΔVC = XCI.

RLC in Parallel

ΔV is common. (So we use ΔV as a reference.)

I in R is in phase w/ ΔV & IR = ΔV/R.

I in L is 90º behind ΔV & IL = ΔV/XL.

I in C is 90º ahead of ΔV & IC = ΔV/XC.

RLC Series/Parallel AC Circuit
RLC in Series

Total voltage drop is the vector sum of the voltages across each element.

RLC in Parallel

Total current is the vector sum of the currents in each element.

Impedance &Phase Angle of RLC Series/Parallel AC Circuits