What should be the radius (measured in meters) of a charged-sphere capacitor so it acts as if it is a cylindrical capacitor with length 16 m, inner diameter 2 m, and outer diameter 7 m, in terms of capacitance? Assume both capacitors use the same dielectric. Express your answers accurate to four decimal places, whenever applicable.

What is the capacitance of a parallel plate capacitor with metal plates, each of area 1.50 m2, separated by 2.01 mm? What charge is stored in this capacitor if a voltage of 2.50 × 103 V is applied to it?

13 Dry air is a pretty decent insulator; it has a very high resistivity of 3 × 10º Q · m. Consider a capacitor that has square plates 15 cm on a side, separated by 0.8 mm of dry air. The capacitor is charged such that it has a potential of 320 V between the plates.

what is the capacitance of a capacitor that scores 4.1 uC of charge on its pltes when a voltage of 1.4 is applied between them?

A parallel plate capacitor is constructed using plates of area A and a spacing between the plates d with air in the region between. That capacitor has a capacitance of 88pF. A graduate student attempts to make a copy but mistakenly uses inches rather than centimeters for all the dimensions, so all dimensions are 2.54 times larger than the original. What is the capacitance of the graduate student's capacitor (in pF)?

Capacitor A is a standard parallel-plate capacitor with no dielectric. It was charged up (though is currently not attached to anything) and currently has charge of Qo, a voltage of Vo, a capacitance of Co, and a potential energy of PE,. A dielectric with K = 41 is to be inserted into capacitor A. Determine what the capacitance, charge, voltage, & potential energy of capacitor A will be once the dielectric is fully inserted. C = C,x 41 Q = Q,x 1 V = V,x PE = PE,X

What is the capacitance of a parallel plate capacitor in vacuum? Sol. The basic definition for capacitance is: C = Since the electric potential can also be written as V = Ed Where, E is the electric field contribution of the parallel plate (two plane charge): = ol E0 %3D Sigma is the surface charge density given by: O= By, substitution, we get the capacitance of the parallel plate to be:

What is the electric charge, in the unit of μC, stored in a capacitor with C = 42 μF if the voltage across the capacitor is 1.6 V

What total energy is stored in the capacitors in the figure below (C, = 0.343 µF, C, = 36.7 µF) if 1.80 x 104 J is stored in the 2.50 µF capacitor? (Enter your answer to at least three significant figures.) 1.861 What is the potential difference across the entire combination? What is the potential difference across the 2.50 uF capacitor compared to the potential difference across the combination? What is the potential difference across the series combination compared to the potential difference across the 2.50 µF capacitor? J 2.50 µF

A parallel plate capacitor has the space between its plates filled with 1.4 mm of paper and 3.9 mm of teflon, as shown in the figure on the right. If the area of the plate of a capacitor is 9.2 cm², what is the capacitance of the capacitor? (Express your answer in pF (i.e. picofarads) Answer: