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An infinitely long, straight conductor consists of an inner cylindrical conductor of radius R which carries a uniform current I₀. This conductor is surrounded by a second, coaxial conductor of inner radius R and outer radius 2R. Through this outer conductor flows a uniform current of 2I₀, with a direction that is opposite to the one in the central conductor.

Calculate the magnetic field strength B for the following distances from the center of the conductor:

a. r> 2R

b. R< r<2R

c. r

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