The figure shows a parallel-plate capacitor of plate area A and plate separation d. A potential differenceV0 is applied between the plates. While the battery remains connected, a dielectric slab of thickness b and dielectric constant κ is placed between the plates as shown. Assume A = 130 cm2, d = 1.94 cm, V0 = 72.6 V, b = 0.735 cm, and κ = 3.15. Calculate (a) the capacitance,(b) the charge on the capacitor plates,(c) the electric field in the gap, and(d) the electric field in the slab, after the slab is in place.


The figure shows a parallel-plate capacitor of plate area A and plate separation d. A potential differenceV0 is applied between the plates.
A parallel-plate capacitor has a plate area of A = 250 cm2 and a separation of d = 2.00 mm. The capacitor is charged to a potential difference of V0 = 150 V by a battery. A dielectric sheet (κ = 3.50) of the same area but thickness ℓ = 1.00 mm is placed between the plates without disconnecting the battery. (See figure 24-18 on page 642). Determine the initial capacitance of the air-filled capacitor. Determine the charge on the...
A parallel-plate capacitor has a plate area of A = 250 cm2 and a separation of d = 2.00 mm. The capacitor is charged to a potential difference of V0 = 150 V by a battery. A dielectric sheet (κ = 3.50) of the same area but thickness ℓ = 1.00 mm is placed between the plates without disconnecting the battery. (See figure 24-18 on page 642). Determine the electric field in the dielectric. Determine the free charge on the...
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 of capacitance C0 has plates of area A with separation d between them. When it is connected to a battery of voltage V0, it has charge of magnitude Q0 on its plates. The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery and the space between the plates is filled halfway with a material having the dielectric constant K. What are the capacitance and the magnitude of the charge...
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...
A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them. When it is connected to a battery of voltage V0, it has charge of magnitude Q0 on its plates. While it is connected to the battery the space between the plates is filled with a material of dielectric constant k=3. After the dielectric is added, the magnitude of the charge on the plates and the new capacitance are
A parallel-plate capacitor of capacitance C0 has plates of area A with separation d between them. When it is connected to a battery of voltage V0, it has charge of magnitude Q0 on its plates. The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery. After the plates are 2d apart, the capacitance of the capacitor and the magnitude of the charge on the plates are C0, Q0. C0, Q0. C0, Q0. 2C0,...
The plates of an air-filled parallel-plate capacitor with a plate area of 16.5 cm2 and a separation of 8.80 mm are charged to a 130-V potential difference. After the plates are disconnected from the source, a porcelain dielectric with κ = 6.5 is inserted between the plates of the capacitor. (a) What is the charge on the capacitor before and after the dielectric is inserted? Qi = ___C Qf = ____C (b) What is the capacitance of the capacitor after...
A parallel-plate air capacitor of area A = 12.1 cm2 and plate separation of d = 3.90 mm is charged by a battery to a voltage of 53.0 V. a)What is the charge on the capacitor? b)If a dielectric material with κ = 5.00 is inserted so that it fills the volume between the plates (with the capacitor still connected to the battery), how much additional charge will flow from the battery onto the positive plate?
A parallel-plate air capacitor of area A = 21.3 cm2 and plate separation of d = 2.70 mm is charged by a battery to a voltage of 63.0 V. What is the charge on the capacitor? If a dielectric material with κ = 3.60 is inserted so that it fills the volume between the plates (with the capacitor still connected to the battery), how much additional charge will flow from the battery onto the positive plate?