6. On Thursday (June 6th), we have shown uo0= 1/c2, where uo is the permeability constant,...
2. On Tuesday (12 June 2018), we have shown that a charge moving at velocity v generates a mag- netic field that can be written as where E is the electrostatic field generated by that point charge. Look up the values of the permit tivity constant Eo and permeability constant uo, both in SI units, and show that where c3 x 10*m/s is the speed of light. Note: You must show how you convert the units (10 points)
9. On Thursday (June 6th), we have shown that the magnetic field at the central axis of an infinitely long solenoid is simply B HoIn with / the current passing through the wire and n the coil density (number of turns per unit length). If the solenoid is of a finite length L, the result of the magnetic field is found to be B uoln(sin02- sin 01), where 0-x 01 arctan -X 02arctan a considering 0 X I Make sketches...
9. On Thursday (June 6th), long solenoid is simply B uoln with I the current passing through the wire and n the coil density (number of turns per unit length). If the solenoid is of a finite length L, the result of the magnetic have shown that the magnetic field at the central axis of an infinitely we - field is found to be B HoIn(sin 02-sin01), where 0 x 1arctan L-x 02 arctan = a a considering: X Make...
K-means clustering Problem 1. (10 pts) Suppose that we have the gene expression values for 5 genes (G1 to G5) under 4 time points (t1 to t4) as shown in the following table. Please use K-Means clustering to group 5 genes into 2 clusters based on Euclidean distance. Find out the final centroids and their affiliated genes. The initial centroids are c1=(1,2,3,4) and c2=c(9,8,7,6). Please write down your algorithm step by step. Result without steps won't get points. t1 t2...
**Please Show All The Steps** As I mentioned in the class assume that we have a GaAs (Gallium Arsenide) sample which was doped with excessive As to produce a resistivity of 0.05 Ωm. Owing to the presence of an unknown acceptor impurity the actual resistivity was 0.06Ωm, the sample remaining n-type. What were the concentrations of donors and acceptors present? (Please take μe=0.85 m2/Vs and assume that all impurity atoms are ionized) PHYSICAL CONSTANTS Avagadro's Number NA- 6.02 x 10*23...
6. [-/1 Points) DETAILS SERCP115.5.P.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Truck suspensions often have helper springs that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below When the main leaf spring is compressed by distance you the helper spring engages and then helps to support any additional load. Suppoon the leaf spring constant is 5.60 x 10 N/m, the helper spring...
6. (10 points) Utility. Suppose we have two cities, 1 and 2. Assume every individual has the same utility function given by: u(wj, rj) = W; – 0.5 *r; where j = 1 or j = 2. Furthermore, for all parts of the problem assume the total population is fixed at 1,008 and wages in each city are given by: W1 = 200 W2 = 110 (A) What is the utility from each choice if rı = 20 and r2...
126 S. Consider the large circuit shown in Figure 3, where the components have the following values: We will use Kirchhoff's rules to calculate the current passing through each of the nineteen circuit components. ineteen components in this circuit, there are only twelve through two components that are in series. After considering this fact, draw twelve arrows on Figure 3, indicating twelve distinct currents. Label these currents as 112 These twelve currents are unknown, and we wish to find their...
Assume that we have three independent observations: where Xi ~ Binomial(n 7,p) for i E { 1.2.3). The value of p E (0, 1) is not known. When we have observations like this from different, independent ran- dom variables, we can find joint probabilities by multiplying together th ndividual probabilities. For example This should remind you the discussion on statistical independence of random variables that can be found in the course book (see page 22) Answer the following questions a...
N5D.4 (e) and (f) both sides of the x component of Newton's second lav v, and take the indefinite integral of both sides.) Rich- N5D.4 We have seen that the drag force between a fluid and an object moving through that fluid is proportional to 2 if the object is big and/or fast and/or the fluid is not a m ery viscous but is proportional to löl if the object is small Slo At kin d/or slow and/or the fluid...