7T Problem [1] <15 points> -ĉ on a surface given by r = 5—10,0=1,2=4 →8. Calculate...
ºz hºz Problem [1] <15 points> Magnetic flux density is given as B = -2 on a surface given by r=5—10,0=5,2 = 48. Calculate the total flux o passing through this surface. r
Magnetic flux density is given as B =* = 6+ Problem [1] <15 points> on a surface given by r = 510,= = 48. Calculate the total flux o passing through this surface. For Problems 2 to 4: Figure shows a resistive loop with resistance of 2 Ohms. Magnetic flux density in this region is B = (2zł + 3xý)e ^. Calculate the current on this loop at t-0.1 seconds. 2 2 2 10 Problem [2] <10 points> Calculate the...
Problem [2] <10 points> Calculate the total flux o passing through the surface of this loop at t=ls. Problem [3] <10 points> Calculate the current on this loop at t =ls. Problem [4] <5 points> What is the direction of the current at t=1s ? Clockwise or counter-clockwise? I For Problems 2 to 4: Figure shows a resistive loop with resistance of 2 Ohms. Magnetic flux density in this region is B = (2zî + 3xý)e-21. Calculate the current on...
Problem 1 <15 points> Figure shows a volume that conforms to the spherical coordinate system. The volume current density on the top surface is given as J R cos 0+ in0 + pR .Calculate the total current / passing through the top surface (4,00,360°) 4,300,00) You can use an online integral calculator if you need to find the closed form solution of a complex integral. Here is one: http://www.wolframalpha.com/calculators/integral-calculator/ 0,00,00)
Problem 1. 15 points] Let X be a uniform random variable in the interval [-1,2]. Let Y be an exponential random variable with mean 2. Assunne X and Y are independent. a) Find the joint sample space. b) Find the joint PDF for X and Y. c) Are X and Y uncorrelated? Justify your answer. d) Find the probability P1-1/4 < X < 1/2 1 Y < 21 e) Calculate E[X2Y2]
Problem 4 (20 points): A long, solid conducting cylinder of radius R has a current density within it described by: (r)-C( ) for r< R where C is a constant to be determined. The total current running through the whole cylinder is I. a) Calculate an expression for the constant C, given that the total current is I. (Hint: the current density is not uniform.) b) Why can Ampere's law be used here, and what Amperian loop is appropriate? c)...
#4 TEST 2, PHYS 1442. Instructor: Dr. G. Kolmakov Student Name Date: 5/1/2018 Notes: 1. Show equations you use and show your work. Answers without work shown will not be given any credit. 2. Box the final answers. 3. Show units in the answers. 4. Maximum point for the test is 100. 1. (10 points) What is the resistance of a 35-meter long wire that has a diameter of 0.812*10- m and is made of copper? The resistivity of copper...
5. Using a surface integral calculation, find the current (in Amps) in a circular wire given a current density of)s 15(1-e-1000r)ez Amps/㎡ . That is, J has a magnitude of 15(1-e-1000r)as it is a function of distance r from the center to the outer surface. J points in the z direction. Draw the wire in a diagram with the cylindrical coordinate system and solve for I using a double integral. Hint- what is the surface area of the end of...
1. Conceptual questions: (This one should take less than 5 minutes. Manage your time!) a) For a total internal reflection to occur, the incident angle of a light should be (greater/smaller) than the refractive angle. N S N s . b) Two identical bar magnets are given to the right. At point a, b, and c, the directions of the net magnetic fields are to the and (left? Or right?), respectively. b C c) A polarized electromagnetic wave passes through...
Problem 2. Multiple-choice: (15 pts) 2-1. A solenoid has 500 turns per meter length and radius of 5 cm. When the current in the solenoid is 8 A, what is the magnetic flux though the cross-sectional area of the solenoid? (B) 6.03 x 104 T m2 (D) 3.95 x 105 T m2 (A) 5.03 x 103 Tm2 (C) 1.58 x 103 Tm2 2-2: In an RLC circuit, resistor is R-0.7 Ω, capacitor is C 0.04 F, the inductor is L...