CC0930 Semester 2, 2014 Page 1 of 3 PHYS1004 Physics 1 (Environmental) Formula Sheet Properties of Matter F A FB = ρf Vf g ∆V Q= = Av ∆t v1 A1 = v2 A2 ρ = m/V p= p = p0 + ρgd pg = p − patm ∆p = ρg∆d W = p∆V Fi F0 = A0 Ai ρvd NR = η πR4 ∆p Q = vavg A = 8ηL F = k∆x σ= F A F ∆L =Y A L0 F ∆V = −B A V0 2γ cos θ h= ρgr 4γ Pi − Po = r (soap bubble) Power = ∆pQ 1 1 p1 + ρv1 2 + ρgy1 = p2 + ρv2 2 + ρgy2 2 2 F dvx σs = =η A dy 2 R vavg = ∆p 8ηL 1 W = k(∆x)2 2 ∆L ε= L0 F ∆x =S A L0 F γ= l 2γ Pi − Po = (drop) r γ Pi − Po = (cylinder) r CC0930 Semester 2, 2014 Page 2 of 3 Electricity & Magnetism/Circuits F = Kq1 q2 q1 q2 = 2 r 4πε0 r2 1 K= 4πε0 Uelec V = q ε0 A C= d κε0 A C= d ∆V E= d ∆Q I= ∆t ∆V I= R µ0 N I B= 2R N B = µ0 I L ε = vBL FB = ILB mv r= |q| B ∆Φ ε = ∆t → − → − − F = q→ v ×B → − → − F E = q Q = C∆VC Kqq 0 qq 0 = r 4πε0 r Kq q V = = r 4πε0 r Q2 1 1 UC = = C(∆V )2 = Q∆V 2C 2 2 ρL R= A (∆V )2 P = Iε = I 2 R = R µ0 I B= 2πr → − | F | = |q| Bv (direction by right-hand rule) ∆ΦB ε=N ∆t µ0 LI1 I2 F = 2πd ΦB = Aeff B = AB cos θ Uelec = I = I0 e−t/(RC) Rseries = R1 + R2 + R3 + . . . −1 1 1 1 Rparallel = + + + ... R1 R2 R3 Cparallel = C1 + C2 + C3 + . . . −1 1 1 1 Cseries = + + + ... C1 C2 C3 V = IR ∆VC = (∆VC )0 e−t/(RC) Vout = Vin R2 R1 + R2 τ = RC CC0930 Semester 2, 2014 Page 3 of 3 Radiation = KEmax = hf − Φ E = hf eVs P = ασAT 4 hf h p= = c λ h h λ= = p mv λp T = b hf = Pnet √ p = mv = hc = |Ei − Ef | λ me4 13.6 = − 2 eV for n = 1, 2, 3 . . . 2 2 2 8ε0 h n n ∆x · ∆px ≥ ~/2, ∆y · ∆py ≥ ~/2, ∆z · ∆pz ≥ ~/2 En = − R = R0 e−λt 1 t1/2,eff 1 = t1/2 + 1 t1/2,bio R = λN 1 = RH λ dN = −λN dt E 2 = m2 c4 + p2 c2 Q = ∆mc h 2mK = λ ! 1 1 − 2 n2f ni ~ = h/2π N = N0 e−λt ln 2 0.693 t1/2 = = λ λ λtotal = λa + λb + .... D= 2 where b = 2.90 × 10−3 m.K = Prad − Pabs = αAσ, T 4 − TS4 Eabs m H = RBE × D R = R0 A1/3 R0 = 1.2 fm Ebinding = ∆mc2 = −Vpotential
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