2. A circular pipe of radius b is to be welded to a circular pipe of...
The 5th page of lecture 24: 2. Consider a circular current loop of radius R placed in the xy plane as shown in the figure. It is centered at the origin and viewed down from the positive z-axis the current, lo, flows anti-clockwise. Radius = R a. In what direction does the magnetic field point at the red point in the figure, Fa? Explain clearly why this is true. current b. Since B-VxA, in which plane does Alie. Explain clearly...
2. (20 marks) The fully-developed, laminar fluid flow through a circular pipe is considered to be one dimensional with a velocity profile given by u(r) = Umax(1 - 52/R2), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and Umax is the maximum flow velocity at the center of the pipe. a) Derive a relation for the drag force applied by the fluid on a section of the pipe of...
3.12 An infinite, thin, plane sheet of conducting material has a circular hole of radius a cut in it. A thin, flat disc of the same material and slightly smaller radius lies in the plane, filling the hole, but separated from the sheet by a very narrow insulating ring. The disc is maintained at a fixed potential V, while the infinite sheet is kept at zero potential. (a) Using appropriate cylindrical coordinates, find an integral expression involv- ing Bessei functions...
1 pts Question 5 Water is flowing through a circular pipe with a radius of 0.50 m at 5.60 m/s. If the pipe's radius tapers down to 0,40 m, what is the speed of water through the narrower end? Answer in m/s. 8.73 8.00 6.00 7.65 05.10 7.00 1 pts Question 6 Hide Stop sharing ard" Il app.honorlock.com is sharing your screen. MacBook Pro с o G Search or type URL ☆ 8
Question 2 [7 marks] A circular loop with a radius of 6cm and resistance of 0.020 is placed around a solenoid as shown. The solenoid has a radius of 2cm, 4000 turns, length of 0.5m, and a counterclockwise current, is, that changes with time as shown in the graph below. a) [5 marks] Find the current, op induced in the circular loop b) [l mark] Calculate the inductance, L, of the solenoid. b)[ mark] What is the required voltage, V,...
Please answer a,b and d(most important) . TQ (BEKG 2443) PART B: ANSWER ONE QUESTION ONLY QUESTION 4 Given S is a surface for a part of the sphere x2 + y2 + x2 = 4 that lies above the cone z = √ x² + y² (a) Find a parametric representation for the surface S in terms of 6 and 0. Then, determine the domain of O and e. (5 marks) (b) Based on the expression written in (a),...
answers of 5.10 5.34 Two identical circular loops of radius a are initially located a distance R apart on a common axis perpendicular to their planes. (a) From the expression W12-fd3x Ji . A2 and the result for As from Problem 5.10b, show that the mutu inductance of the loops is Show that for R>2a, M12 has the expansion, (b) 75 (a Нота а (c) Use the techniques of Scction 3.3 for solutions of the Laplace equation to show that...
(a) (10 marks] A straight wire along the ź direction with a circular cross-section of radius R, carries a total current of magnitudel, and the magnitude of the current density varies as I = ks 2 where k is a constant and s is the radial distance from the axis of the wire. i) Express the constant k in terms of I and R. Show that the magnetic field inside the wire can be expressed as B = 80. Find...
Question 10 (11 marks) In your sketches in this question, label any axis intercepts with their values. Let S be the surface in R3 given by z 2+ +yfor (r, y) R2 (a) Find an expression for the level curve of this surface when zc. For what value(s) of c does the level curve exist? (b) Sketch the level curve for c 2, and the level curve for c 5 (c) Sketch the cross section of the surface in the...
A thin disk with a circular hole at its center, called an annulus, has inner radius R1 and outer radius R2. The disk has a uniform positive surface charge density σ on its surface. (Figure 1) A)The annulus lies in the yz-plane, with its center at the origin. For an arbitrary point on the x-axis (the axis of the annulus), find the magnitude of the electric field E⃗ . Consider points above the annulus in the figure. Express your answer...