Duration: 6:36

2 views

0

Two concentric circular loops, one of radius \( R \) and the other of radius \( 2 R \), lie in the \( x y \)-plane with the origin as their common center, as shown in the figure. The smaller loop carries current \( I_{1} \) in the anti-clockwise direction and the larger loop carries current \( I_{2} \) in the clockwise direction, with \( I_{2}2 I_{1} . \vec{B}(x, y) \) denotes the magnetic field at a point \( (x, y) \) in the \( x y \)-plane. Which of the following statement(s) is(are) correct?
(a) \( \vec{B}(x, y) \) is perpendicular to the \( x y \)-plane at any point in the plane.
(b) \( |\vec{B}(x, y)| \) depends on \( x \) and \( y \) only through the radial distance \( r=\sqrt{x^{2}+y^{2}} \).
(c) \( |\vec{B}(x, y)| \) is non-zero at all points for \( rR \).
(d) \( \vec{B}(x, y) \) points normally outward from the plane for all the points between the two loops.
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live