The figure to the right shows a finite line charge with uniform linear charge de

Question

The figure to the right shows a finite line charge with uniform linear charge density lambda. The line charge occupies the y axis from 0 to L. Write the integral that you would evaluate to compute the electric potential at a point P a distance R from the line charge along the x axis. Let the potential at infinity be zero. Select One of the Following: kappa lambda dy/ kappa lambda dy/ kappa lambda dy/ kappa lambda dy/ kappa lambda dy/ A 200mum piece of plexiglas can be used as the dielectric material in a capacitor with a square edge length of 15cm. The dielectric constant of plexiglas is 3.4. Compute the capacitance if the space between the capacitor plates is entirely filled with plexiglas. (lnF = 1 times 10-9F) Select One of the Following: 23nF 3.4nF 0.35mu F 56nF 6.8mu F A capacitor has capacitance C with air filling the space between the capacitor plates. If a dielectric with dielectric constant kappa = 2 is inserted between the plates so that the dielectric material completely fills the space between the plates, what is the new capacitance of the capacitor? Select One of the Following: C 2C 4C C/2 C/4

Explanation / Answer

the equation for capcatience of the capacitor is

C = k eisilon_0 A/d

   = 3.4 ( 8.85 * 10 ^-12) (0.15 m)^2/200 * 10 ^-6 m

=3.4 nF

Cpacitence is directily proportional dielectric constant

C = eisilon_0 A/d

if dielecctric is inserted the new capacitence is

C '= k eisilon_0 A/d

= 2 C

option (b) is correct answer

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