Let Q denote charge, V denote potential difference, and U denote stored energy. Of these quantities, capacitors in parallel must have the same:

Capacitors can be configured in a number of different geometries. Let's consider a capacitor formed by two coaxial cylinders with radii of 19.0 mm and 25.3 mm respectively and length 1.2 m. If the space between the cylinders is filled with air, find the capacitance of this configuration.

You are given a box of 1000 capacitors. Each capacitor has a capacitance of 10 nF and can withstand a maximum potential difference of 5.0 V each. You are given the task of designing a network of capacitors that can with stand a potential difference of 15 V, but with an equivalent capacitance of 10 nF using only the capacitors provided. You may use as many of the capacitors (well, up to 1000..) as you need, but to save money you should use the fewest number that will meet the requirements. Sketch your network in the space below. Indicate the points at which this network would attach to the potential difference.

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An arrangement of capacitors is shown in the figure below. (a) If C = 7.20 ✕ 10−5 F, what is the equivalent capacitance between points a and b?F(b) A battery with a potential difference of 21.00 V is connected to a capacitor with the equivalent capacitance. What is the energy stored by this capacitor? J

For the system of four capacitors shown in the figure below, find the following. (Use C1 = 4.00 µF, C2 = 5.00 µF, C3 = 5.00 µF, and C4 = 5.00 µF for the figure.)   (a) the total energy stored in the systemmJ(b) the energy stored by each capacitor C1 mJ C2 mJ C3 mJ C4 mJ (c) Compare the sum of the answers in part (b) with your result to part (a) and explain your observation.

For a system of 4 capacitors shown in the figure below: Determine the following:A. The equivalent capacitance of the systemB. The charge on each capacitorC. The potential difference across each capacitorD. The stored energy in each capacitor

For the system of capacitors shown in the figure below, find the following. (Let C1 = 4.00 microfarad and C2 = 8.00 microfarad.) c) the potential difference across each capacitor across C1     V across C2      V across the 6.00 µF capacitor      V across the 2.00 µF capacitor      V

Consider the following figure (a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in the figure if C1 = 2.00 microfarad, C2 = 14.00 microfarad, and C3 = 2.00 microfarad. (b) If the potential between points a and b is 60.0 V, what charge is stored on C3?(In microcoulombs)

For Problems 4-6 find the equivalent Capacitance, the Potential across Capacitor 3, and the Charge on Capacitor 4 C₁=6F 6.00 volts C₂=3F C₂ = 10 F C₁ = 14 F 4. Ceq= V3 = Q4=