A coaxial cable consists of a solid inner conductor of radius R₁, surrounded by a concentric cylindrical tube of inner radius R₂ and outer radius R3. The inner conductor carries a current density J₁, given by r≤ R₁, r> R₁, where Io is a constant not necessarily equal to the total current in the inner conductor. The outer conductor has a total current I2 uniformly distributed across its cross-section going in the direction opposite of J₁. R O R₂ J₁ = Io TR² 0, R3 3 (1) ². R₁ 12 (a) What is the magnitude of the magnetic field inside of the inner conductor (r < R₁)? (Hint: Use the fact that I(r) = f J. dA, and in this case dA = 2πr dr.) (b) : What is the magnitude of the magnetic field in the gap between the conductors (R₁

A coaxial cable consists of a solid inner conductor of radius R₁, surrounded by a concentric cylindrical tube of inner radius R₂ and outer radius R3. The inner conductor carries a current density J₁, given by r≤ R₁, r> R₁, where Io is a constant not necessarily equal to the total current in the inner conductor. The outer conductor has a total current I2 uniformly distributed across its cross-section going in the direction opposite of J₁. R O R₂ J₁ = Io TR² 0, R3 3 (1) ². R₁ 12 (a) What is the magnitude of the magnetic field inside of the inner conductor (r < R₁)? (Hint: Use the fact that I(r) = f J. dA, and in this case dA = 2πr dr.) (b) : What is the magnitude of the magnetic field in the gap between the conductors (R₁