A parallel-plate capacitor filled with air carries a charge Q. The battery is disconnected, and a slab of material with dielectric constant k = 2 is inserted between the plates. Which of the following statements is correct?
The voltage across the capacitor decreases by a factor of 2.
The voltage across the capacitor is doubled.
The electric field is doubled.
The charge on the plates decreases by a factor of 2.
The charge on the plates is doubled.

A parallel-plate capacitor filled with air carries a charge Q. The battery is disconnected, and a...
A 2.0 μF parallel-plate air-filled capacitor is connected across a 10 V battery. (a) Determine the charge on the capacitor and the energy stored in the capacitor. (b) An identical 2.0 μF parallel-plate air-filled capacitor is connected across a 5 V battery, and a dielectric slab with dielectric constant κ is inserted between the plates of the capacitor, completely filling the region between the plates, while the battery remains connected. The energy stored in this capacitor is four times that...
A parallel-plate capacitor has plates of area 0.13 m2 and a separation of 1.9 cm. A battery charges the plates to a potential difference of 150 V and is then disconnected. A dielectric slab of thickness 9.3 mm and dielectric constant 4.0 is then placed symmetrically between the plates. (a) What is the capacitance before the slab is inserted? (b) What is the capacitance with the slab in place? What is the free charge q (c) before and (d) after the slab is inserted? What is the magnitude of the...
A parallel-plate capacitor with air between its plates is connected to an 80.0 V battery. When fully charged, the capacitor has an energy of 130 nJ. Without disconnecting the battery, a slab of dielectric is inserted between the plates of the capacitor, fully filling the gap. The energy stored in the capacitor is now 410 nJ. The area of each plate of the capacitor is 0.005 m2. (e) What is the electric field in the air-filled capacitor? (f) What is...
Question 4 1 pts A parallel-plate capacitor of capacitance C has the area of plates A and distance between plates d. Capacitor is connected to the battery of voltage V, fully charged and then disconnected. A slab of dielectric material with dielectric constant 4 is then inserted into capacitor, completely filling region between plates. Electric field between plates of capacitor: decreases twice stays the same increases twice decreases 4 times increases 4 times
A parallel-plate capacitor has plate area of 0.12 m2and plate separation 1.2 cm. It is charged by a battery to potential difference of 120 V, then disconnected. A dielectric slab, thickness 4.0 mm and dielectric constant 4.8, is placed symmetrically between the plates.(a) Calculate the capacitance before and after the slab is inserted.(b) Calculate the free charge q before and after the slab is inserted.(c) Calculate the magnitude of the electric field in the space between the plates and the...
(1 point) A parallel plate capacitor is filled with a dielectric that has a dielectric constant of 1.09. The plates have an area of 2.26 mm² and are separated by a distance of 2.86 um. (A) What is the capacitance of this filled capacitor? (B) What is the capcitance of this capacitor when it is empty? (C) If the filled capacitor is connected to a 9 volt battery, what is the charge stored on the plates of this filled capacitor?...
The charge on the 4.00 cm2 area plates of an air-filled parallel plate capacitor is such that the electric field is at the breakdown value. By what factor will the maximum charge on the plates increase when polystyrene is inserted between the plates? (The dielectric strength of air is 3.00 × 106 V/m and that of polystyrene is 2.40 x 107 V/m. The dielectric constant of polystyrene is 2.56. Supporting Materials Physical Constants Additional Materials Tutorial
An air-filled capacitor is made from two flat parallel plates 1.4 mm apart. The inside area of each plate is 8.8 cm2. a) What is the capacitance of this set of plates (in pF) b) If the region between the plates is filled with a material whose dielectric constant is 6.6, what is the new capacitance (in pF)? 2) A parallel-plate capacitor with only air between its plates is charged by connecting the capacitor to a battery. The capacitor is...
A parallel-plate capacitor with air between its plates is connected to an 80.0 V battery. When fully charged, the capacitor has an energy of 130 nJ. Without disconnecting the battery, a slab of dielectric is inserted between the plates of the capacitor, fully filling the gap. The energy stored in the capacitor is now 410 nJ. (c) What is the dielectric constant of the dielectric? (d) What is the charge on the dielectric-filled capacitor?
Two air-filled parallel-plate capacitors with capacitances C1 and C2 are connected in series to a battery that has voltage V; C1 = 3.00 μF and C2 = 6.00 μF. The electric field between the plates of capacitor C2 is E02. While the two capacitors remain connected to the battery, a dielectric with dielectric constant K = 4 is inserted between the plates of capacitor C1, completely filling the space between them. After the dielectric is inserted in C1, the electric...