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2. ( 25 points) A thin empty tube of radius \( R=20 \mathrm{~cm} \) and of infinite length carries a charge density \( \lambda=0.1 \) Coulombs \( / m \). All the charges within the tube are moving with velocity \( v=10^{2} \mathrm{~m} / \mathrm{s} \). \[ \mu_{0}=4 \pi \times 10^{-7} \mathrm{~kg} m C^{-2} \text {. } \] a) ( 10 points) What is the current, in Amperes, moving along the tube ? a) ( 10 points) What is the direction of the magnetic field at a point at distance \( r=1 \mathrm{~m} \) from the axis of the tube? Use Ampere's Law to find the magnitude of the magnetic field at this point. a) (5 points) What is the magnitude of the magnetic field at a point at distance \( r=10 \mathrm{~cm} \) from the axis of the tube?

Given: The radius of tube R=20 cm The charge density of tube ?=0.1 Coulombs/m The velocity of charges v=102 m/s ?o=4?×10?7 kg.m/C (a) Charge dens