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Phys 202 Midterm 2 Equations

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Physics 202 Chapter 26, 27, 28

Midterm 2 – Equations and Constants


%|' ||' |
𝐹⃗ = *() ) 𝑟̂ = 𝑞𝐸/⃗ Resistance of Wire: 𝑅 =
rt
p
𝐾|𝑞1 | Ohm’s Law: DV = IR
𝐸/⃗ = 𝑟̂
𝑟2 (hv))
1 Power: 𝑃 = 𝐼 Δ𝑉 = w
= 𝐼 2 R
𝐾𝐸 = 𝑚𝑣 2
2 Kirchhoff’s Laws
𝑞
𝑉 = 1) Current Junction Law: S Iin = S Iout
4𝜋𝜖; 𝑟
' ' 2) Voltage Loop Law: S DV = 0
( )
∆𝑈>?>@A = BCD = 𝑞ΔV Series Resistors: Req = R1 + R2 + … + RN
* E
𝑑𝑉 1
𝐸=− Parallel Resistors: 𝑅>' =
𝑑𝑥 ( (
_ _ … _
y( y)
(
ya
LM
Δ𝑉 = − K 𝐸/⃗ Ÿ 𝑑𝑥⃗ RC Circuit: tc = RC
LN
A
{|
Δ𝐸O>@P = ΔKE + ΔU = 0 𝑄(𝑡) = 𝑄; 𝑒 }

Capacitors A
{
Δ𝑉@ (𝑡) = Δ𝑉; 𝑒 |}
𝜂 𝑄 Δ𝑉Y
𝐸@ = = = {|
A
𝜖; 𝐴𝜖; 𝑑 𝐼(𝑡) = 𝐼; 𝑒 }

Q = C DVc
Constants/Symbols
𝐴𝜖;
𝐶 = K = 9 x 109 N-m2/C2
𝑑
C = kCo €o = 8.85 x 10-12 C2/N-m2

𝐸/⃗; Charge electron: -1.6 x 10-19 C


𝐸/⃗ =
𝜅 Charge proton: 1.6 x 10-19 C
1 𝑄2
2
𝑈@ = 𝐶(ΔV) = Mass electron: 9.11 x 10-31 kg
2 2𝐶
1 Mass proton: 1.67 x 10-27 kg
Series Capacitors: 𝐶>' = ( ( (
_ _ … _
^( ^) ^a Cross-sectional area: A = p r2
Parallel Capacitors Conductivity: s
Ceq = C1 + C2 + … + CN Resistivity: r
Electron current and drift velocity Electron density: ne
𝑖> = 𝑛> 𝐴 𝑣d
Number of electrons: Ne
eτ>
𝑣d =
𝑚
𝐸 mean time between electron collisions: te
hi >kl Capacitor plate separation: d
Current: I = 𝐼 = = 𝑒𝑖>
hA ∆A Dielectric constant: k
o 1
Current Density: 𝐽 = = 𝜎𝐸 𝜎=r Capacitor decay time constant: tc
p

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