This problem involves the use of cylindrical coordinates to find the acceleration of a particle in a plane.
Derive the equation e/m = (3.29x106)*(Va)/(I2)(R2) for the charge to mass ratio of an electron using the following equations: (1): (e)(Va) = 1/2 mv2 (2): R = mv/eB (3): B = ((4/5)3/2 ) * (µ0)(N)(I)/r where µ0 = 4π × 10−7 H/m ; N = 130; and r = 0.15m
Derive the equation e/m = (3.29x106)*(Va)/(I2)(R2) for the charge to mass ratio of an electron using the following equations (Make sure to include how you divided out the units for each component to end up with a final answer that is in C/kg): (1): (e)(Va) = 1/2 mv2 (2): R = mv/eB (3): B = ((4/5)3/2 ) * (µ0)(N)(I)/r where µ0 = 4π × 10−7 H/m ; N = 130; and r = 0.15m
Derive time dependence of voltage and current for a capacitor equation v(t)=V(1-e-t/RC) i(t)=(V/R)(e-t/RC)
derive the Rayleigh scattering equation 2 m2-1 ANa (1+ Cos ) I Is m+2
Derive Equation f = V1 + B fo for the case where the source is fixed but the receiver approaches it with velocity v. B V According to the fixed source (K) the signal and receiver move at speeds c and v, respectively, in the same direction, so their relative speed is The time interval between receipt of signals is the following. • At = = N(v2) = to At = 1/(c2) = 1/60 At = 1/(c - v) =...
derive the transfer function Image posted twice for clarity r)n) A(n) 82()8(m) out ut fo (n) a)fn) f(n) m- out pu r)n) A(n) 82()8(m) out ut fo (n) a)fn) f(n) m- out pu
Derive time equation but for that first we have to derive acceleration using the following equations: [1] mg*sin(θ) – fs = ma [2] Rfs = Iα [3] I = cmR2 [4] α = a/R Once we have derived acceleration in terms of sin(θ), g, and c , we are then asked to derive time based on kinematic equation. The time equation should be based on of y, c, g, and d. d=length of Ramp.y=Height of ramp.
F Fosin t m k 2 Figure Qla: System is subjected to a periodic force excitation (a) Derive the equation of motion of the system (state the concepts you use) (b) Write the characteristic equation of the system [4 marks 12 marks (c) What is the category of differential equations does the characteristic equation [2 marks fall into? (d) Prove that the steady state amplitude of vibration of the system is Xk Fo 25 + 0 marks (e) Prove that...
Define the density parameter N. Hence derive the following forms of the Friedman equation: A) (i) in terms of , (where i can be matter, radiation or kc2 m - ) H2 (1 (ii) in terms of N0, k0A0a2 (1) + including in your answer the definition of k0 Define the density parameter N. Hence derive the following forms of the Friedman equation: A) (i) in terms of , (where i can be matter, radiation or kc2 m - )...
Io = axial intensity w = beam waist (i.e. 1/e^2 radius) at r= w, I(r) is at 1/e^2 (13.5%) of the axial intensity 2r2 I(r) I,e 2 W 0 Derive this formula to translate it into Resolution and DOF 2r2 I(r) I,e 2 W 0 Derive this formula to translate it into Resolution and DOF