The plates of an air-filled parallel-plate capacitor with a plate area of 16.0 cm2 and a separation of 9.00 mm are charged to a 145-V potential difference. After the plates are disconnected from the source, a porcelain dielectric with k =20 is inserted between the plates of the capacitor. a. What is the charge on the capacitor before and after the dielectric is inserted? b. What is the capacitance of the capacitor after the dielectric is inserted? c. What is the potential difference between the plates of the capacitor after the dielectric is inserted? d. What is the magnitude of the change in the energy stored in the capacitor after the dielectric is inserted?

A 3.50 cm in diameter parallel plate capacitor has a 1.50 mm spacing. The electric field inside the capacitor is 3 x 105 V/m.a. What is the potential different across the capacitor?b. How much charge is on each plate?c. If the charge on the plates remains the same as the plates are pulled apart will the voltage difference Increase decrease or stay the same?

A capacitor is connected to a battery and given time to reach its full charge. You then slide a sheet of plastic between the plates of the capacitor, while holding the potential difference across the capacitor constant by leaving the battery connected. Which of the following has increased as a result of this change? I. The capacitance of the capacitor. II. The potential difference across the capacitor. III. The charge on the plates of the capacitor. IV. The energy stored by the capacitor.

P1. A plane parallel capacitor, whose plates are each of area A and separation d, is charged with a battery of EMF V. How much work is done if a large metallic slab with thickness d/3 is inserted inside the capacitor? The slab is parallel with the plates. The capacitor is connected to the battery while we move the metallic slab, so the potential of the capacitor is fixed. d metal d/3 A

A parallel-plate capacitor is made of two square plates 20 cm on a side and 1 mm apart. The capacitor is connected to a 50-V battery. Hint # a. What is the energy stored in the capacitor? Energy stored in the capacitor is b. With the battery still connected, the plates are pulled apart to a separation of 2 mm. What is the energy stored in the capacitor now? Energy now stored in the capacitor is c. This time, starting from situation in (a), with the batteries disconnected (but capacitors still charged), the plates are pulled apart to a separation of 2 mm. What is the energy stored in the capacitor now? Energy now stored in the capacitor is d. Comparing your results in (b) and (c) above, it makes sense that the energy stored in the capacitor- increases in (c), because the work done in separating the plates is stored as the electrostatic potential energy. In (b), why does the energy decrease even though work is done in separating the plates? E D Submit Question с 4 O The energy is not…

Two spherical shells have a common center. The inner shell has radus R₁5.00 cm and charge g+5.00×10 C: the outer shell has radius R-15.0 cm and charge g2-7.00x10- C. Both charges are spread uniformly over the shell surface. Take V-0 at a large distance from the shells Part A What is the electric potential due to the two shells at the distancer-2.50 cms from their common center Express your answer with the appropriate units. HAO? Value Units