ˋ Problem 9: A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R,-19 cm and carries a uniform charge per unit length of λ-30 pC/m. The outer cylinder has radius R,-25 cm and carries an equal but opposite charge distribution as the inner cylinder Banchi, Stephen - banchis3@students.rowan.edu @ theexpertta.com- tracking id: 2N74-2F-82-4A-BAAB-13143. In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account Part (a) Use Gauss' Law to write an equation for the electric field at a distance RI < rくPo from the center of the cylinders. Write your answer in terms ofn, r, and e0 inside cylinders in F/m Part (b) Calculate the electric potential difference between the outside and the Part (c) Calculate the capacitance per unit length of these concentric cylinders in Part (d) Calculate the energy stored in the capacitor per unit length, in units of Part (e)_Write an equation for the energy density due to the electric field between V. the cylinders in terms of r, and eg Part(f) Consider a thin cylindrical shell of thickness dr and radius RI 〈 r〈 R2 that is concentric with the cylindrical capacitor. Write an equation for the total energy per unit length contained in the shell in terms ofA, r, dr, and ε0 Part (g) Calculate the energy stored per unit length in the capacitor in units of oules per meter tan( asin)acos0 atan()acotan sinh( sin cos0) HOME 4 5 6 cosh tanh0 cotanh0 Degrees O Radians 0 BACKSPACE CLEAR Submit Hint I give up!

*20 Figure 25-35 shows a variable "air gap" capacitor for manual tuning. Alternate plates are connected together; one group of plates is fixed in posi- tion, and the other group is capable of rotation. Consider a capacitor of n = 8 plates of al- ternating polarity, each plate having area A = 1.25 cm? and separated from adjacent plates by distance d = 3.40 mm. What is the maximum capacitance of the device? Figure 25-35 Problem 20.

A parallel plate capacitor is consturcted of two (2) square conducting plates with side length l=10.0 cm. The distance between the plates is d= 0.250 cm. -provide an illustration that best represents the scenario

Suppose a dielectric sphere of radius a and permittivity e = 260, containing a net charge Q1 uniformly distributed in its volume, is surrounded by another conducting sphere of inner radius a and outer radius b. a) Find an expression for E valid in each region. b) Find an expression for V valid in each region. c) Make separate graphs for |E/(Q1/4T€0)| and V/(Q1/4T€0) as a function of r valid for each region.

52% aill aO ODI 36 P 9:06 Find the capacitance ( in units of pF) of a metallic sphere that has a radius of 19.3 cm immersed (osgais) in a very large oil container with K=2.16). use ɛo = 8.8542x10-12 Fm-1. Metallic spbere Oil Select one: A. 11.60 B. 14.76 C. 27.08 D. 895.22 E. 46.38 O

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.

View Policies Current Attempt in Progress A capacitor is constructed of two concentric conducting cylindrical shells. The radius of the inner cylindrical shell is 2.35 x 103 m, and that of the outer shell is 2.47 x 10 m. When the cylinders carry equal and opposite charges of magnitude 2.0 x 10 10 C, the electric field between the plates has an average magnitude of 3.9 x 10 V/m and is directed radially outward from the inner shell to the outer shell. Determine (a) the magnitude of the potential difference between the cylindrical shells and (b) the capacitance of this capacitor. +] Cylindrical capacitor (end view)

THE FIGURE BELOW SHOWS A CROSS SECTION OF TWO LONG, THIN COAXIAL CYLINDERS OF RADIUS a AND b. THE CYLINDERS CONTAIN EQUAL CHARGES A PER UNIT LENGTH AND OPPOSITE SIGNS. A POSITRON ROTATES IN A CIRCULAR PATH BETWEEN THE CYLINDERS AND CONCENTRIC TO THEM. FIND ITS KINETIC ENERGY FOR À= 30 nC/m

ह s/enol b) 3.9 x 10 2) A A 3.3 cm diameter parallel plate capacitor has a Sant ni Muspiryगर Supods 7.0×10" "mo How much charge is on each plate DarCIXES (V - 10 01x22 01-01XSil (5 2.3.mm D) 2.7x10C

A capacitor consists of 3 spherical shells with radiuses r, 2r and 4r. The first and third shells are connected to earth but the second one has charge 5Q, calculate the capacity and the charge on the third ( outer) shell.