hw2_solns

# hw2_solns - the number of points rather than the step size...

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from pylab import * ################## # Problem 1 ################# def expdecay(x,lam=1.,A=1.): return A*exp(-x*lam) def dampedsine(x,lam=1.,k=1.,A=1.): apass=A lampass=lam return expdecay(x,lam=lampass,A=apass)*sin(k*x) def gauss(x,A=1.,sig=1.,x0=5.): return A*exp(-(x-x0)**2/sig) x=arange(0,10,0.02) subplot(211) #following commands go to the upper (1) plot plot(x,dampedsine(x,lam=0.4,k=10),'r<') title("A damped sine curve") xlabel("Time (S)") ylabel("Displacement (m)") subplot(212) #following commands go to the lower (2) plot plot(x,gauss(x, x0=x[len(x)/2]),'g-.',linewidth=2) title("A Gaussian function") xlabel("Frequency (Hz)") ylabel("Signal (mV)") #This tweaks the layout of the subplots so labels don't overlap. subplots_adjust(hspace=0.4) #show() ####################### #Problem 1b - Add a second figure ###################### figure(2) b=4 #Can use "linspace" as an alternative to "arange" either work # but linspace includes the final point and you give it

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Unformatted text preview: # the number of points rather than the step size theta=linspace(0,2*pi,200) #Eccentricity eps1=0.8 eps2=0.4 # Polar equations for an ellipse r1=b/sqrt(1-eps1**2*(cos(theta)**2)) r2=b/sqrt(1-eps2**2*(cos(theta)**2)) polar(theta,r1,theta,r2) #Tweak the legend location legend(('Eps=%2.2f' % eps1, 'Eps=%2.2f' % eps2), loc=(.9,.9)) ########### #Quiver plot of dipole field ############ figure(3) #grid point spacing dx=0.05 #location and magnitude of charges d=0.83 x1,y1=(-d,0) x2,y2=(d,0) q1=+1 q2=-1 #Setup grid of point in x and y xvals=arange(-1,1,dx) yvals=arange(-1,1,dx) x,y=meshgrid(xvals,yvals) #Evaluate vector field on grid points h1=(x-d/2)**2+y**2 h2=(x+d/2)**2+y**2 U=q1*(x-d/2)/h1+q2*(x+d/2)/h2 V=q1*y/h1 +q2*y/h2 #Plot the vector field # #quiver(x,y,U,V,color='b') #colorcode arrows by magnitude qp=quiver(x,y,U,V,sqrt(U**2+V**2),scale=100) quiverkey(qp,0,10,20,30,labelpos='N') show()...
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