Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismBiot-savart's & Ampere's Circuital lawHard2 minPYQ_2021
PhysicsHardmultiple choice

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>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?

 

Options:(select one or more)

Answer:
A, B
Solution:

(A) Magnetic field at the plane of the ring is perpendicular to the plane. However, they bend as they move forward.(B) By symmetry, we can say thatB→will be same at all the points having the same radial distance. soB→x,ywill depend only the radial distancer=x2+y2(C)Bnet centre =μ0I222R-μ0I12R=μ04RI2-2I1Since,I2>2I1soBnetat the centre will be non-zero in⊗direction, But at some other point,Bnetmay be zero. From the graph, it is clear thatBnet=0for some value ofr∈0,R. Sooption (C) is incorrect(D) For the graph, it is clear thatB=-ve⇒in⊗direction forr∈R to 2R, so option D is also incorrect.

Stream:JEE_ADVSubject:PhysicsTopic:MagnetismSubtopic:Biot-savart's & Ampere's Circuital law
⏱ 2mℹ️ Source: PYQ_2021

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