- A Rectangular Loop Of Length 2a And Width S Is Positioned Such That The Plane Of The Loop Makes An Angle Ss With Respect 1 (301.65 KiB) Viewed 23 times
for this problem. I will leave a thumb's up for a unique solution
only.
A rectangular loop of length 2a and width s is positioned such that the plane of the loop makes an angle ß with respect to the Z-axis, as shown in Figure 1. The loop is exposed to a magnetic flux density B varying as a function of time: 2Bo To 0 ≤t< To B = 2B. (2-) το St < Στο a. [5 marks] Find the expression for the magnetic flux through the loop. Use the direction of dl in the sketch to determine if the flux is positive or negative. b. [5 marks] Find the expression for electromotive force induced in the loop. c. [5 marks] The electromotive force induces a current in the loop. What is the direction of this current for 0 ≤ t < To? Indicate the current direction using a sketch in XY plane, similar to the Figure 1, showing the front view of the rectangular loop. State which law you used to determine the current direction. d. [5 marks] The magnetic flux density is also the source for a torque acting on the loop. Determine the direction of the induced torque for the increasing B, 0 ≤ t < To. Show the vector of the magnetic force acting on the loop using a sketch in XZ plane (the side view). e. [5 marks] We now make the magnetic flux density invariant with time such that B = 2B₁. The loop is then made to rotate around Y-axis such that ß = wt. Calculate the electromotive force induced in the loop. X₁ B X dl y B Z N B S