(Solved): A solenoid has a circular cross section with a radius of R=0.02m, and has a turn density of n=27 ...

A solenoid has a circular cross section with a radius of $$R=0.02\mathrm{m}$$, and has a turn density of $$n=2700\mathrm{turns}/\mathrm{m}$$. The current flowing through the solenoid is $$1.2+0.85^{?}\mathrm{t}A/\mathrm{s}$$. $$(\mathrm{C})$$ (a) What is the magnitude of the rate of increase of the magnetic field $$(\mathrm{dB}/\mathrm{dt})$$ inside the solenoid? $$\mathrm{T}/\mathrm{s}$$ (b) What is the magnitude of the induced electric field at a distance $$r=0.01\mathrm{m}$$ away from the center of the solenoid? $$\mathrm{N}/\mathrm{C}$$