A cube structure having pv=(x^2)(y)(e^-z) [c/m^3] charge density distribution is beingused to represent a discrete charge element Q. If edge of cube is 1 mm, answer thefollowing question.m m im w n m ww wa) Derive Coulombs Law from Gauss Law.b) Calculate value of Q.c) If 2Q, 3Q, and -Q charges are placed on xy plane to (-1, –1,0), (2,0,0), (-3,1,0) pointsrespectively, calculate the force due to electric field on a charge with 4Q at (1, -1,3) point

Gauss's Law states that the flux outside a volume is directly proportional to total charge contained…

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6. A cylinder with radius R and infinite length is centered on the z-axis and has a uniform charge density r R p= Po 0 where po is a constant. a) Using Gauss's law find the electric field for r R. Express your answer in terms of the charge per unit length of the cylinder (you'll have to think about how to define it). Hint: in terms of symmetry, this case is very similar to an infinite line charge. b) Now a uniform surface charge density o is pasted onto the surface of the cylinder such that the electric field outside the cylinder is zero. What is o in terms of R, po, and numerical factors?
(10%) Problem 8: An infinite solid insulating cylinder of radius R and has a uniform volume charge density 1.3 μC/m Randomized Variables Banchi, Stephen- banchis3@students.rowan.edu @ theexpertta.com - tracking id: 2N74-2F-82-4A-BAAB-13083. 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. If the magnitude of the electric field 0.65 m from the axis of the cylinder is 4500 N/C what is R, (the radius of the cylinder), in meters? Assume you are outside of the cylinder of charge (that is, R < 0.65 m) Grade Summary Deductions Potential 100% cos(0 tan( Submissions sin() cotanasi atan()acotan( acos() sinh() Attempts remaining: (0% per attempt) detailed view 4 5 6 *1 23 0 osh tanh0 cotanh Degrees C) Radians BACKSPACE CLEAR Submit Hint I give up!
Raya has two hoops that are charged and concentric, they have a radii of R and 2R respectively. They are found laying in the x and y plane. The smallest hoop has a uniform charge distribution with a density that is linear of -5.00 uC/m. At the point P which is 3R away from the center point of the hoops, the electric field is = to 0. Figure out the liner charge density on the biggest hoop. ÉR P 3R
Consider N equal point charges evenly spaced on an imaginary circle of radius R. What is the electric field at the center of the circle? The answer is obviously zero, when N is even. What if N is odd (3,5,7,...)? Explain your reasoning.
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The HCl molecule has a dipole moment of about 3.4x10-30 C·m. The two atoms areseparated by about 1.0x10-10 m.a. What is the net charge on each atom? Is this equal to an integer multiple of e? Ifnot, explain.b. What maximum torque would this dipole experience in a 2.5x104 N/C electricfield?c. How much energy would be needed to rotate one molecule 45° from itsequilibrium (lowest potential energy) position?
A up down ||1| 10 cm 12 cm 10 cm Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities σ₁, 02, 03, and 4 on their surfaces as shown in the figure above. These surface charge densities have the values 0₁ +4.00 μC/m². 0₂- +2.00 μC/m², σ3 = -4.00 μC/m², and 4 +6.00 μC/m². Use Gauss's law to find the direction of the electric field at point A, 5.00 cm from the center of the left face of the left-hand sheet right left the question is misleading because the E-Field is zero
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Insulator Conductor 9. A solid, insulating sphere of radius a shown in figure has a total charge -2Q . Concentric with this sphere is a conducting hollow sphere with a total charge 3Q whose inner and outer radii are b and c, as shown in Figure. a) Using Gauss Law find the magnitude of electrical field in the region r>c. The Gaussian surfaces used should be shown on the figure. The steps followed while applying Gauss's law should be written in detail. b) Write the magnitude of the electric field in the region b

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