FIGURE P31 39 shows the electric field inside a cylinder of radius R 3 0 mm The field strength is increasing with time as E 1 0 10 8 t 2 V m, where t is in s The electric field outside the cylinder is always zero, and the field inside the cylinder was zero for t 0 a Find an expression for the elect...

Model Assume that the electric field inside the cylinder is uniform Use the AmpereMaxwell law to obt ...

FIGURE P31.39 shows the electric field inside a cylinder of radius R = 3.0 mm. The field

Question:

FIGURE P31.39 shows the electric field inside a cylinder of radius R = 3.0 mm. The field strength is increasing with time as E = 1.0 × 10⁸t²V/m, where t is in s. The electric field outside the cylinder is always zero, and the field inside the cylinder was zero for t < 0.

a. Find an expression for the electric flux Φ_e through the entire cylinder as a function of time.b. Draw a picture showing the magnetic field lines inside and outside the cylinder. Be sure to include arrowheads showing the field??s direction.c. Find an expression for the magnetic field strength as a function of time at a distance r < R from the center. Evaluate the magnetic field strength at r = 2.0 mm, t = 2.0 s.d. Find an expression for the magnetic field strength as a function of time at a distance r > R from the center. Evaluate the magnetic field strength at r = 4.0 mm, t = 2.0 s.