Question

In: Physics

Two parallel conducting plates have equal and opposite charges. Consider the area of conducting place is...

Two parallel conducting plates have equal and opposite charges. Consider the area of conducting place is 2.5 cm^2 and the capacitor is filled with 1.8 m thick dielectric material which has K=3.60 dielectric constant. The resultant electric field in the dielectric is 1.20×10⁶ V/m.

a-Find the magnitude of the charge density σ on the conducting plate.

b-Calculate the magnitude of the charge density σ1 on the surfaces of the dielectric.

c-Determine the total electric-field energy U stored in the capacitor.

Expert Solution

a)Resultant electric field E=/(k)

=surface charge density on plates

k=dielectric constant=3.6

=8.85X

E=1.2XV/m

E=/(k)

=Ek=1.2XX3.6X8.85X=3.82XC/m2

b)Charge density on dielectric 1=(1-1/k)=3.82XX(1-1/3.6)=2.76XC/m2

c)Total enrgy in capacitor E=C/2

C=capacitance=Ak/d

A=area of plate=2.5cm2=2.5Xm2

d=distance between plates=1.8m (I think it is 1.8m , but d is very small in capacitor in unit of mm)

C=capacitance=Ak/d=2.5XX8.85XX3.6/1.8=44.25XF

V=voltage=Ed=1.2XX1.8=2.16Xvolt

Total enrgy in capacitor E=C/2=44.25XX/2=1.03XJ

genius_generous answered 2 years ago

Consider the situation of two particles which have equal but opposite charges, +Q and -Q. The...

Consider the situation of two particles which have equal but opposite charges, +Q and -Q. The particles have identical mass. Discuss the following situations in terms of their motion and the work done on them by the relevant field. Where relevant, also provide a short discussion of the implications of these effects on the properties of the charged particles. If necessary, include diagrams to illuminate your solution. (a) For the positive charge, the charge is stationary, and it is placed...

Two parallel conducting plates are oriented in an ? − ? coordinate system. The plates are...

Two parallel conducting plates are oriented in an ? − ? coordinate system. The plates are separated by a distance ? = 0.05 ?, and the origin of the coordinate system is halfway between the plates. The plate separation is very small compared to the size of the plates. The left plate is at a potential ?L = 50 ?, and the right plate is at a potential ?R = 10 ?. 1. A proton at the origin begins at...

Two parallel, metal plates with separation distance d = 1.00 cm carry charges of equal magnitude...

Two parallel, metal plates with separation distance d = 1.00 cm carry charges of equal magnitude but opposite sign. The plates are oriented horizontally. Assume the electric field between the plates is uniform, and it has a magnitude of 1,880 N/C. A charged particle with mass 2.00 ✕ 10−16 kg and charge 1.07 ✕ 10−6 C is projected from the center of the bottom negative plate with an initial speed of 1.08 ✕ 105 m/s at an angle of 37.0°...

Consider an electron between two grounded conducting parallel plates perpendicular the x axis, and intersecting x...

Consider an electron between two grounded conducting parallel plates perpendicular the x axis, and intersecting x at ±a. A particle with charge q is placed at x = a/2 between the plates. Derive an expression for the magnitude and direction of the force exerted on the particle. Write your answer in terms of the parameters q and a of the problem, and use a computer if necessary to obtain a numerical value for your answer. Computed numerical values should be...

(a) Consider two identical metal plates of area A, separated by a non-conducting material which has...

(a) Consider two identical metal plates of area A, separated by a non-conducting material which has a thickness d. They are connected in a circuit with a battery and a switch, as shown above. When the switch is open, there is no excess charge on either plate. The switch is then closed. What will happen to the amount of net excess charge on the metal plate that is attached to the negative terminal of the battery? What will happen to...

Set up 4 different configurations of charges: two opposite charges, two lines of opposite charges, one...

Set up 4 different configurations of charges: two opposite charges, two lines of opposite charges, one cluster of charges and a line of charges, and one configuration of your choice. For each configuration do the following: a) Sketch on a separate piece of paper the configuration. Use the whole page. b) Sketch out at least 10 different equipotential lines by using the voltage probe. (label them) c) Sketch out at least 10 different electric field lines. (crossing at right angles...

An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm2

An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm2, separated by a distance of 2.20 mm. A 23.0-V potential difference is applied to these plates. (a) Calculate the electric field between the plates. kV/m (b) Calculate the surface charge density. nc/m2 (c) Calculate the capacitance. pF (d) Calculate the charge on each plate. pC

A dielectric-filled capacitor consists of two parallel plates, each with an area A = 15.0 cm2 ,...

A dielectric-filled capacitor consists of two parallel plates, each with an area A = 15.0 cm2 , seperated by a distance of d = 10.0 mm and dielectric constant k = 4.00. A potential difference V= 10.0 V is applied to these plates . Throughout the problem, use ϵ0 = 8.85×10−12 C2/N⋅m2 Part A) Calculate the energy U1of the dielectric-filled capacitor.(J) Part B) The capacitor remains connected to the battery. Calculate the energy U2 of the capacitor at the moment when the capacitor...

The electric field midway between two equal but opposite point charges is 651 N/C, and the...

The electric field midway between two equal but opposite point charges is 651 N/C, and the distance between the charges is 15.6 cm. What is the magnitude of the charge on each? First significant figure of answer: 200. pC Answer to 3 significant figures. (Recall: The metric prefix 'pico' (p) means 10-12)

Two charges of equal magnitude and opposite sign form a dipole. Let q1 = 4 nC...

Two charges of equal magnitude and opposite sign form a dipole. Let q1 = 4 nC and q2 = - 4 nC, and the charges are located on the y axis at y = 1.0 mm and y = -1.0 mm, respectively A second dipole comprised of q3 = - 4 nC located at (0.002,0.001,0)m and q2 = -4 nC located at (0.002,0.001,0)m is added to the dipole in #1. d. What is the electric field of the two dipole...