57. A spherical capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has a radius of ra = 12.0 cm , and the outer sphere has a radius of rb = 15.1 cm . A potential difference of 120 V is applied to the capacitor. What is the capacitance of the capacitor? What is the magnitude E1 of the electric field E at radius r= 12.8 cm , just outside the inner sphere? What is the magnitude of E at r= 14.7 cm , just inside the outer sphere?

Problem 13:   Each plate of a parallel-plate capacitor has an area of A = 0.61 m2. The plate separation is 3.0 mm, and one of these plates is shown in the figure. It carries a charge of Q = 2.9 μC, which is concentrated on its inner surface. Imagine a cylindrical Gaussian surface, of radius r = 0.012 m, whose axis is perpendicular to the plates. One end of the cylinder is inside the plate shown and the other end is located between the plates. Both ends are parallel to the plates. Part (a)  What is the flux through surface 1 Φ1, in newton meters squared per coulomb?  Part (b)  What is the flux through surface 2 (the outside of the cylinder not including the ends), in newton meters squared per coulomb?  Part (c)  What is the flux through surface 3 Φ3, in newton meters squared per coulomb?  Part (d)  Using all of your results, input an expression for the field within the capacitor E, in terms of the quantities given in the problem.

.A certain parallel-plate capacitor is filled with a dielectric for which k = 4.58. The area of each plate is 0.0726 m², and the plates are separated by 1.13 mm. The capacitor will fail (short out and burn up) if the electric field between the plates exceeds 217 kN/C. What is the maximum energy that can be stored in the capacitor?

The figure shows an electron entering a parallel-plate capacitor with a speed of 5.7×106 m/s. The electric field of the capacitor has deflected the electron downward by a distance of 0.618 cm at the point where the electron exits the capacitor. (Figure 1) Figure V + + + -2.25 cm- + + É + + + < 1 of 1 0.618 cm + Part A Find the magnitude of the electric field in the capacitor. 15| ΑΣΦ 3 E- 3662.75 ! Your answer should not contain commas. No credit lost. Try again. Part B Submit Previous Answers Request Answer www ||| ΑΣΦ v=6.36• 106 Submit Find the speed of the electron when it exits the capacitor. Provide Feedback www. ? Previous Answers Request Answer ? N/C m/s X Incorrect; Try Again; 29 attempts remaining Review your calculations and make sure you round to 3 significant figures in the last step.

A parallel-plate capacitor has an area of 2.00 cm2, and the plates are separated by 2.00 mm with air between them. The capacitor stores a charge of 500 pC. (a) What is the potential difference across the plates of the capacitor? V(b) What is the magnitude of the uniform electric field in the region between the plates? N/C

A parallel-plate capacitor is formed from two 5.8 cm -diameter electrodes spaced 1.9 mm apart. The electric field strength inside the capacitor is 1.0 ×106N/C. What is the charge (in nC) on each electrode?

The electric field strength is 1.90×104 N/C inside a parallel-plate capacitor with a 0.600 mm spacing. An electron is released from rest at the negative plate. What is the electron's speed when it reaches the positive plate?

An electron is shot vertically upward through the tiny holes in the center of a parallel-plate capacitor. If the initial speed of the electron at the hole in the bottom plate of the capacitor is 4.00 x 106 m/s, what will be the speed of the electron just when it reaches the hole in the top plate? d = 2.00 cm, Q = 30.0 pC, A = area of either plate = 25.0 cm2, melectron = 9.109 x 10-31 kg, and qelectron = 1.602 x 10-19 C

The drawing shows an electron entering the lower left side of a parallel plate capacitor and exiting at the upper right side. The initial speed of the electron is 3.13 × 106 m/s. The capacitor is 2.00 cm long, and its plates are separated by 0.150 cm. Assume that the electric field between the plates is uniform everywhere and find its magnitude. 15.30 + A + 2.00 cm Number i + + + 0.150 cm Units

A parallel plate capacitor consists of two rectangular, horizontally oriented plates, each with an area of 4.00 cm2, and separated by a distance of 0.300 mm. If the magnitude of the charge on each capacitor is 5.00 nC, what is the magnitude of the electric field  between both plates?