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

let R be the radius of the semicircle

1) E1 = E2 = 2*k*rho/R

here, rho = Q_total/pi*R

Enet = sqrt(E1^2+E2^2)

Enet = sqrt(2)*2*K*rho/R^2

2)for semi circle E = 2*k*rho/R

3) E = s/(2*epsilon)*(1 - x/sqrt(x^2+R^2) )

4)

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