Which relations below regarding magnetic field and electric field lines are true? 1. Magnetic field lines never begin nor end but always loop around on themselves while electric field lines begin at positive charges and end at negative charges. 2. Magnetic field lines never begin nor end but always loop around on themselves while electric field lines begin at negative charges and end at positive charges. 3. Magnetic field lines begin at north poles and end at south poles while electric field lines loop around on themselves. 4. Magnetic field lines begin at south poles and end at north poles while electric field lines loop around on themselves. 5. Magnetic field lines come out of north poles outside the magnet and into north poles inside the magnet. Magnetic field lines go into south poles outside the magnet and out of south poles inside the magnet. Electric field lines begin at positive charges and end at negative charges.

Find the steady-state temperature at the center of the plate = /2, = /2) for sums of w from n=1 to n=19 (only odd values). find the value of n for which the change in /2, /2) is less than 1% from the value at the previous n. at this point, we consider the solution converged. does the value of the temperature at the center seem reasonable? in this part, the values of x and y are constant scalar values. you should produce a plot of the value of n on the horizontal and the estimate of the temperature at the center of the plate on the vertical. b. using the value of n (or larger) that resulted in convergence in part (a), create a contourf plot of the temperature distribution across the entire plate. use enough spatial subdivisions to create a useful plot. comment on the results. hint: you need to determine what “x” and “y” values to use to make your t matrix. i recommend using a different number of x and y values. use enough x and y values so that the plot is “smooth”.