Question Welcome to this IE. You may navigate to any page you've seen already using the IE tab on the right. Triangular Current Loop A wire formed in the shape of an equilateral triangle of side d = 8 cm, carries current i = 0.25 A. This loop is located in a region of space that contains a constant magnetic field of magnitude B = 1.3 T, aligned with the negative z-axis as shown in the diagram below. B X X X X X X X X X X X X X X X ► x x x x x x x x x x xxx x x Position I Position II What is Wito I), the work you would have to do to rotate the coil 180° from Position to Position II? (Note, the coil is rotated out of the plane of the page, not simply spun in the plane) Wto 1 = J Submit

A small bead, sitting at the origin, has a charge of +10 nC. At the point (3.0 cm, 4.0 cm), what is the magnitude and direction of the electric field due to this bead? A housefly walking across a clean surface can accumulate a significant positive or negative charge. In one experiment the largest positive charge observed was +73 PC. A typical housefly has A small bead, sitting at the origin, has a charge of +10 nC. At the point (3.0 cm, 4.0 cm), what is the magnitude and direction of the electric field due to this bead? A housefly walking across a clean surface can accumulate a significant positive or negative charge. In one experiment the largest positive charge observed was +73 PC. A typical housefly has a mass of 12 mg. What magnitude and direction of an electric field would be necessary to "levitate" a housefly with the maximum charge? Could such a field exist in air?

Video rankings. The InstaVid social network collects user preferences by ask ing them to rank their favorite videos. One of the features of InstaVid is offering friendship suggestions for users with similar tastes, using the following metric If user One ranks the videos using the sequence 1,2,..., n same videos using the sequence ul, U2, . . . , Un of Video rankings. The InstaVid social network collects user preferences by ask ing them to rank their favorite videos. One of the features of InstaVid is offering friendship suggestions for users with similar tastes, using the following metric If user One ranks the videos using the sequence 1,2,..., n same videos using the sequence ul, U2, . . . , Un of numbers 1, 2, . . . , n, then their social distance is computed by counting all pairs (u,リfrom the ranking of Tuo that satisfy the condition vi > vj for i < j. For example, if the user One ranks four videos as 1,2,3, 4 and Two ranks them as 3,1,2,4 then their social distance is 2 because of the pairs (3,1) and (3,2) in the rankings of Two. , and user Tu o ranks (i) Design an algorithm social_distance (prefa, prefb) with time complexity in e(n2) that computes the social distance for users with video rankings prefa and prefb. Please write your solution in the form of a Python function. Justify the run time of your code (ii) Improve your algorithm using divide and conquer approach. Fully analyse your algorithm; you may use the Master Theorem. Write your solution in the form of a Python function. (You may also write pseudocode if desired; we will not run your code anyway, but it is aceptable to actually implement your code in Python and copy it in your soluton.)

Find lambda and v The matrix. 10 1.- [ 3 -3] A= has an eigenvalue of multiplicity 2 with corresponding eigenvector i. Find , and i. has an eigenvector ū

6.62. A vapor mixture of n-butane (B) and n-hexane (H) contains 50.0 mole% butane at 120°C and 1.0 atm. A stream of this mixture flowing at a rate of 150.0 L/s is cooled and compressed, causing some but not all of the vapor to condense. (Treat this process as a single-unit operation.) Liquid and vapor product streams emerge from the process in equilibrium at

A solid sphere of radius 40 cm has a total positive charge of 26 μC uniformly distributed throughout its volume. Calculate the magnitude of the electric field (a) 0 cm, (b) 10 cm, (C) 40 cm and (d) 60 cm from the center of the sphere.

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8602 g and a standard deviation of 0.0521 g. A sample of these candies came from a package containing 456 candies, and the package label stated that the net weight is 389.2 g.​ (If every package has 456 ​candies, the mean weight of the candies must exceed 389.2 / 456 =0.8534 g for the net contents to weigh at least 389.2 ​g.) a. If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8534 g.