1) 2 semicircular filament have a common diameter. one lies in the x-y plane and

Question

1) 2 semicircular filament have a common diameter. one lies in the x-y plane and one in the x-z plane. the curved portion of each carries a uniform line charge density (rho). find the electric filed at the common cetner of the semicircles?

2) A semicircular piece of wire carries density rho = (intial rho sin theta where theata = 0 at the midpoint of the wire ) , find the electric field at the center of circle ?

3) Find the electric field above a disc of radius r with uniform surface charge density s ?

4) Find the oscillatory frequency of a water molecule (with dipole moment p) displaced from equilibrium in a constant electric field E?

Explanation / Answer

1) electric field = -2*K*rho /R ( j + k)....here R is radius of filament ,, and i have taken the semicircle on +xy & +Xz plane

2) electric field = -2*K*rho /R (j)

3)electric field = 2*k*pie*s[1-x/(x^2+r^2)^1/2]..x is at any distance above disc

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