3. A solenoid with N=100 loops of wire and length _=5.00cm is used to generate an axial magnetic field B when connected to a current supply with I =1.00 A . (i) Make a sketch of the solenoid with clear indications of the magnetic field and the electric current direction. [4%] (ii) Use Ampere's law Q B. ds =Hola to calculate the magnitude of the generated magnetic field inside of the solenoid [Hint: choose a closed path along the axis of the solenoid so that I = NI ]. [4%] (iii) A loud speaker uses a solenoid with a magnet inserted along the axis of the solenoid. Discuss how this can produce motion of the magnet and the attached diaphragm [Hint: you may want to discuss the mechanism in terms of Faraday's law &EMF = D B dt [4%] (iv) Is the sound wave produced by the loud speaker a transverse or longitudinal wave? Explain your result. [4%]