In a coaxial, straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero
According to Ampere’s Law:
Where,
B is the magnetic field,
dl is the current element,
μ0 is the permeability of free space
i is the current flowing in the conductor
Magnetic field outside the cable: B = BI+BO
BI and BO are the magnetic field of the inner conductor and outer cable respectively.
Due to wire,
R is the radius of the wire.
Thus, option (A) is the correct option.
Magnetic field inside the inner conductor:
∮B. dl =μo I (I=0(inside the wire))
Magnetic field between the two conductors and inside the outer conductor.
∮B. dl =μo I
On integrating the length element over the complete loop, we get dl= 2π r
B.2π r=μo I
On solving the above equation for B, we get
Thus, option A and B is the correct option.