Practice 7)
Given a 4cm x 8cm coil in the y-z plane with a current of 5 A running in the direction from coil corners (0,0,0) to (0,0,0.08) to (0,-0.04,0.08) to (0,-0.04,0) to (0,0,0) with an applied B=0.03536ax - 0.03536ay (Wb/m2 ) Find the torque about the z-axis (ans: 5.66x10-4az N-m)
Please provide clear steps as I am unable to match the answers given
Practice 7) Given a 4cm x 8cm coil in the y-z plane with a current of...
A 20-turn coil with radius 4 cm lies in the x-y plane. The coil has a total resistance of 5 Ω. The coil is in the presence of a uniform 0.25 T magnetic field oriented 15° with respect to the positive z-axis. Give the direction (clockwise or counter-clockwise) and magnitude of the current that will be induced in the coil by the field. Additionally what happens to the value of the induced current if the magnetic field changes to a...
7. Given an infinitely long straight wire carrying a current I, in the +Z direction. Find the net force and the net torque (magnitudes) exerted on a square loop of wire of side a carrying a current I2, whose center is a distance d-a'2 away from the wire if (a.) (12 pts) the straight wire lies in the plane of the loop Side view Ans. orce Ans (Torque) the straight wire is moved directly above the center of the loop...
Q1: Consider a square loop in the yz plane. The corners of the loop are at (0.1.1) (x,y,z (0,2,1);(x.y,z)-(0,2,2); and (x.y,z)-(0,1,2).The current flowing around the perimeter of the loop is 1 mA in the direction shown in Figure. Calculate the net force acting on the square loop if (a) B 2ax (a uniform magnetic field). (b) The magnetic field is produced by a vertical current filament (I- 100A) coinciding with the z axis. Q1: Consider a square loop in the...
Im having problems understanding whats happening and why. 27. An xz-cylinder in 3-space is a surface given by an equation f(x,z) -0 in x and z alone; its section by any plane y -c perpendicular to the y-axis is always the same xz- curve. Show that if F - z2i + xy2j + xz k, then ^ F dr for any simple closed curve C lying on an xz-cylinder. (Use Stokes' theorem) 27. An xz-cylinder in 3-space is a surface...
1. This quasi-"walkthrough" problem is great practice in cross-products, vectors, and integration. Consider the current loop shown in Figure 2, with B _Bx, and the loop lying in the x - z plane of the page (y points into the page). We wish to find the net torque on this current loop. we'll do this by integrating in θ, the angle shown (a) We'll start with a little segment dl at point p as shown in the figure. What is...
PLEASE DO LETTER d.) PLEASE DO LETTER f.) The plane from e.) is 4(x-2)+6(y-1)+(z-1)=0 or 4x+6y+z=15 15. The temperature on an unevenly heated metal plate positioned in the first quadrant of the xy-plane is given by 25xy + 25 C(x, y) = 7 (x - 1)2 + (y - 1)2 +1° Assume that temperature is measured in degrees Celsius and that x and y are each measured in inches. (Note: At no point in the following questions should you expand...
(might be 1 or 2, MCQ questions were having images given with them, which we couldn't insert, so ignore those questions if you cannot answer, sorry for inconveinience created, i tried to delete them but might be couldn't done all) 3) Single phase induction motors work because: a) The oscillating magnetic field can induce starting torque in a rotor. b) The oscillating magnetic field can induce running torque in a rotor. c) A capacitance or inductance can create the phase...