Two oppositely charged conducting spheres of radius r are connected by a thin wire of length ℓ, with r≪ℓ. A circular Amperian loop of radius a lies in the symmetry plane midway between them, as shown. When the conduction current in the wire is i, choose the correct statements.

Select all that apply

• Option A

  The displacement current through the loop is towards left and conduction current to right. μ₀ i

• Option B

  The magnetic field at the amperian loop when current in the wire is i is. 2πa μ₀ i ℓ

• Option C

  The magnetic field at the amperian loop when current in the wire is i is ( 2 ). 4πa √a² +ℓ 4

• Option D

  The magnetic field at the amperian loop when current in the wire is i is zero.