A regular tetrahedron frame is made up of homogeneous resitance wire of uniform cross section. Current I enters vertex A through a long, straight wire directed towards the centre O of the tetrahedron and is conducted away through vertex B in the same way, as illustrated in the figure. Choose CORRECT statement (s)

Options

A. There is no current through wire DC because point D cand C are equipotential
B. Current through wire AB is `I//2`
C. Current through wire AC is `I//4`
D. Net magnetic field at point O is zero

Answer

A, B, C, D

Explanation

From symmetry `I_(CD)=0`
`I_(AB)=I//2` and `I_(AC)=I_(CB)=I_(AD)=I_(DB)=I//2` and net field at centre is zero