Consider a large solenoid with parameters turns nl, radius rl, and length ll. the solenoid carries a current of il. inside the large solenoid is a smaller solenoid with parameters, turns ns, radius rs, and length ls. this would be the situation if i placed the tennis ball can solenoid in the sewer pipe solenoid. in all parts, write the expressions in terms of the quantities given above and the quantities introduced in part ()[2 pt(s) ]calculate the symbolic expression for the magnetic field of the large solenoid.(b)[2 pt(s) ]calculate the magnetic flux through the small solenoid due to the magnetic field produced by the large solenoid.(c)[4 pt(s) ]if the current through the large solenoid changes with time by the function il(t) = i0 sin ωt, calculate the emf induced in the small solenoid.(d)[1 pt(s) ]what is the physical law you used in the calculation in ()[2 pt(s) ]calculate the mutual inductance between the large and small solenoid. note what we have done here is build an air filled step down transformer.