(Solved): P5: A solid cylindrical conducting shell of inner radius \( a=5.0 \mathrm{~cm} \) and outer radius ...

P5: A solid cylindrical conducting shell of inner radius \( a=5.0 \mathrm{~cm} \) and outer radius \( b=6.2 \mathrm{~cm} \) has its axis aligned with the \( z \)-axis as shown. It carries a uniformly distributed current \( I_{2}=7.4 \mathrm{~A} \) in the positive z-direction. An infinite conducting wire is located along the z-axis and carries a current \( I_{1}=2.8 \mathrm{~A} \) in the negative \( \mathrm{z} \) direction. Please find a) The magnitude of the magnetic field at point \( P \), located 14 \( \mathrm{cm} \) from the origin along the \( x \)-axis, as shown. b) The magnitude of the magnetic field at point \( S \), located 4 \( \mathrm{cm} \) from the origin along the \( y \)-axis, as shown. c) The directions of the magnetic fields at \( \mathrm{P} \) and \( \mathrm{S} \).