Capacitance  Problem 8:   A 0.058 μF capacitor is being held at a potential difference of 254 μV. Part (b)  If you measure the size of each plate to be 37 cm2, how far apart are the plates, in micrometers?  Part (c)  What is the magnitude of the electric field inside this capacitor, in newtons per coulomb?

A parallel plate capacitor has a capacitance of 110. pF and a plate area of 100. cm2. The space between the plates is filled with mica whose dielectric constant is 5.40. The plates of the capacitor are kept at 40.0 V. a) What is the strength of the electric field in the mica?  b) What is the amount of free charge on the plates? show complete solution

Problem 13:   Each plate of a parallel-plate capacitor has an area of A = 0.61 m2. The plate separation is 3.0 mm, and one of these plates is shown in the figure. It carries a charge of Q = 2.9 μC, which is concentrated on its inner surface. Imagine a cylindrical Gaussian surface, of radius r = 0.012 m, whose axis is perpendicular to the plates. One end of the cylinder is inside the plate shown and the other end is located between the plates. Both ends are parallel to the plates. Part (a)  What is the flux through surface 1 Φ1, in newton meters squared per coulomb?  Part (b)  What is the flux through surface 2 (the outside of the cylinder not including the ends), in newton meters squared per coulomb?  Part (c)  What is the flux through surface 3 Φ3, in newton meters squared per coulomb?  Part (d)  Using all of your results, input an expression for the field within the capacitor E, in terms of the quantities given in the problem.

.A certain parallel-plate capacitor is filled with a dielectric for which k = 4.58. The area of each plate is 0.0726 m², and the plates are separated by 1.13 mm. The capacitor will fail (short out and burn up) if the electric field between the plates exceeds 217 kN/C. What is the maximum energy that can be stored in the capacitor?

Consider a parallel-plate capacitor having an area of 2550 mm^2 and a plate separation of 4.9mm and with a material of dielectric constant 5.9 positioned between the plates. Also, the value of E0 is 8.85x10^-12F/m. a) What is the capacitance of this capacitor in pF? b) compute the electric field that must be applied for a charge pf 7.8x10^-8C to be stored on each plate in V/m.

When a battery is connected across an empty capacitor, the charge on its plates is Q0 (fig. a). If a dielectric of dielectric constant ?κ is inserted between the plates while the battery remains in place (fig. b), what is the expression for the induced charge on the dielectric surface in terms of the original plate charge Q0?

Capacitance  Problem 8:  A 0.072 μF capacitor is being held at a potential difference of 466 μV.    Part (b)  If you measure the size of each plate to be 49 cm2, how far apart are the plates, in micrometers?