Physics 155 Formula Sheet PDF

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FORMULA SHEET PHYSICS 155

Magnetic Field and Force on a Charged Particle Fm = qV × B, ac =

V2 , r

|Fm | = qV B sin θ,

V = Ω · r,

Ω=

Fe = qE

qB = 2πf, m

r=

mV qB

mV 2 (Electron gun, Φ = P otential dif f erence) 2 Force on a current carrying conductor in B field q∆Φ =

V =

E , B

FI = IL × B,

|FI | = ILB sin θ

(1)

(2) (3)

(4)

Magnetic Torque. Magnetic Field Production τ = IA × B, Force between two charged wires F =

|τ | = IAB sin θ µ0 I1 I2 L 2π d

(5)

(6)

Magnetic field produced by a wire µ0 I 2πr Magnetic Field Production. Ampere’s Law Magnetic field produced by a current loop B=

B=N

(7)

µ0 I 2R

(8)

N I L

(9)

Magnetic field in solenoid with air inside B = µ0

Magnetic field in solenoid with ferromagnetic inside B = µ0 µr

N I L

(10)

Magnetic field inside a toroid B=N

µ0 I 2πR

(11)

Ampere’s Law ΣB||∆l = µ0 I 1

(12)

Motional EMF Em = LV⊥ B

(13)

Faraday’s Law of Induction, Lenz’s Law Magnetic Field Flux Φ = B · A = BA cos θ Faraday’s Law of Induction

Em = −N

(14)

∆Φ ∆t

(15)

Root-Mean Square Value (RMS) Em0 hP (t)i = √ 2

(Em0 = peak value)

(16)

Back EMF

V − Em R Mutual and Self Inductance. energy in magnetic field Mutual Inductance ∆Ip Ns Φs = MIp , Ems = −M ∆t Self Inductance ∆I N Φ = LI Em = −L ∆t Inductance of a coil µr µ0 N 2 A L= l Inductances in series and in parallel I=

Lseries = L1 + L2 + ..., eq

1 Lparallel eq

=

1 1 + + .... L1 L2

(17)

(18) (19)

(20)

(21)

Energy in an inductor and energy density of magnetic field WL = Transformer equation

1 2 LI , 2

UB =

1 2 B 2µ0

(22)

Vs Ns = Np Vp

(23)

V = IR

(24)

P = I 2R

(25)

Ohm’s Law Power dissipated by a resistance Efficiency of Generator η=

Puseful Pmechanical 2

(26)...