Visit http://ilectureonline.com for more math and science lectures!

To donate:
http://www.ilectureonline.com/donate
https://www.patreon.com/user?u=3236071

Two concentric circular loops, one of radius R and the other of radius 2R, lie in the xy-plane with the origin as their common center, as shown in the figure. The smaller loop carries current I1 in the anti-clockwise direction and the larger loop carries current I2 in the clockwise direction, with I2 is greater than 2I1. B(x,y) denotes the magnetic field at a point (x,y) in the xy-plane. Which of the following statement(s) is (are) correct?
A) B(x,y) is perpendicular to the xy-plane at any point in the plane.
B) B(x,y) depends on x and y only through the radial distance r=(x^2+y^2)^(1/2 B).
C) B(x,y) is non-zero at all points r les less than R.
D) B(x,y) points normally outward from the xy-plane for all the points between the two loops.

Previous video in this series can be seen at:
https://youtu.be/EyknalszD6s
Next video in this series can be seen at:
https://youtu.be/gT65VwDANLA