A coaxial cable consists of an inner cylindrical conductor of radius R1 = 0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R2 = 0.080 m and outer radius R2 = 0.090 m. The inner conductor carries current I1 = 4.40 A in one direction, and the outer conductor carries current I2 = 7.70 A in the opposite direction. What is the magnitude of the magnetic field at the following distances from the central axis of the cable? (μ0 = 4π × 10-7 T ∙ m/A)
(a) At r = 0.060 m (in the gap midway between the two conductors)
(b) At r = 0.150 m (outside the cable)
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