Question

3. A circular parallel plate capacitor of radius R = 1cm is connected to a time-dependent voltage, V(t) = (10V) sin (wt), with a frequency of f = 100 Hz. The capacitance of the capacitor is 2.0 uF. (a) Find the charge, q(t), on the capacitor. 185 Chapter 21. The Displacement Current 21.0 (b) Find the displacement current, Id, inside of the capacitor. (e) Find the electric field, Eſt), inside of the capacitor. (d) Find the magnetic field, B(t), outside of the capacitor at a distance r from the capacitor's axis.

Answer 1

Sehli te on O Charge , R-lon qLt1 -6 200X10 x 1o fnwt %3D PLE)= RK10 Gin(200 TE) C Ans Current at a distence S from the ans , ☺ Displacement Staida Ed = where, Td = at and E = 22 TR Co Jd = AR22+ 1o-4 4o5 Cos (Qoont) Id= di platement current elt a doitance seR from the arel , fon ihe lobove o Magnetic field é'nnide capauter: go.de HoX 4Od co(7comt) 204o Scos( 200 7t)

Fleipni c field ineide fHe capautor: ģ E di = -d E(?ns) = 34) at 4X10 4o s2 Hn (200 nt). 3. %3D S.f unitt Magneti freld eufsicde capuuier, gB dl = Hofg =) B(mY) = HaK40R Cosl gooñt) B LE) = 20 HoRcor (q007TE). 2Y10 Mo (२० t) BLE) = Sir umije