Here\'s an example to try on your own. On the next slide, we have four conductin
ID: 1502548 • Letter: H
Question
Here's an example to try on your own. On the next slide, we have four conducting segments of wire (labeled 1,2,3.4) Segments 1 and 2 are placed together to form a fixed L shape. Segment 3 is horizontal and moving upward at a speed of 3 m/s. Segment 4 is vertical and moving to the right at a speed of 5 m/s. 3 is horizental and moving upward at a speed of 3 m/s Segment 4 is vertical ond moving to the right at a speed of 5 m/s At the moment shown, the four segments form a conducting square 50 cm on a side, with a resistance of 20 . A magnetic field is everywhere directed out of the screen with a magnitude of 2 T. Find the magnitude and direction (CW or CCW) of the current that is induced in the square at the moment depicted in the diagram. Answer: 0.4 A, CWExplanation / Answer
Area of the square, A = xy
=> dA/dt = xvy + yvx
Induced current, I = (d/dt)/R = (B/R)(dA/dt) = B(xvy + yvx)/R = 2[(0.5 * 3) + (0.5 * 5)]/20 = 0.4 A
Since the area of the loop is increasing, magnetic flux is increasing. So, the induced current will be clockwise to oppose this increase in flux.