A non-conducting rod of length with a uniform charge density λ and a total charge is lying along the x-axis, as illustrated in Figure. point P, located at a distance y off the axis of the rod. Compute the electric field at a y P 8: x
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- The surface charge density on a long straight metallic pipe is . What is the electric field outside and inside the pipe? Assume the pipe has a diameter of 2a.A thick insulating cylindircal shell of inner radius a=2.7R and outer radius b=6.8R has a uniform charge density p. pR What is the magnitude of the electric field at r=3.6 R ? Express your answer using one decimal place in units of ? €0A line of charge of length L = 42 cm with charge Q = 430.0 nAies along the positive Y axis whose one end is at the origin O. A point charge q = 310.0 µClies on point P = (41, 21.0)Here the coordinates are given in centi-meters. a) Find the Electric field at Pdue to the rod. x component of E Give your answer to at least three significance digits. N/C y component of E Give your answer to at least three significance digits. N/C b)Find the charge density of the rod? why is it in C/mbut not in C/m?? Charge density Give your answer to at least three significance digits. C/m
- Positive charge Q is distributed uniformly along the positive y-axis between y=0 and y=a. A negative point charge −q lies on the positive x-axis, a distance x from the origin Calculate the x-component of the electric field produced by the charge distribution Q at points on the positive x-axis. Express your answer in terms of the variables Q, x, y, a and appropriate constants. Calculate the y-component of the electric field produced by the charge distribution Q at points on the positive x-axis. Express your answer in terms of the variables Q, x, y, a and appropriate constants. Calculate the x-component of the force that the charge distribution Q exerts on q. Express your answer in terms of the variables Q, q, x, y, a and appropriate constants. Calculate the y-component of the force that the charge distribution Q exerts on q. Express your answer in terms of the variables Q, q, x, y, a and appropriate constants.ZA A There are two infinite sheets A and B in the figure above. The charge density of sheet A is, o A 24 µC/m²and the charge density of sheet B is, OB 22 μC/m' b)Calculate the magnitude of net electric field at the point pi for both the infinite sheets. magnitude of net electric field Give your answer to at least three significance digits. NCIf the charge is nonuniformly distributed over a volume, surface, or line, the amounts of charge dg in a small volume, surface, or length element are dq p dV dq = o dA dg = x de Example: A rod of length , has a uniform positive charge per unit length A and a total charge Q. Calculate the electric field at a point P that is located along the long axis of the rod and a distance a from one end. dx P. A dx
- Negative charge -Q is distributed uniformly around a quarter-circle of radius a that lies in the first quadrant, with the center of curvature at the origin. Part A: Find the x-component of the net electric field at the origin. Part B: Find the y-component of the net electric field at the origin. Express your answer in terms of the variables Q , a and appropriate constants.Question 11: Electric Field of a Continuous Charge Distribution Please select file(s) x Positive charge is distributed with a uniform density along the positive x-axis from R to ∞, along the positive y-axis from R to ∞, and along a quarter-circle of radius R, as shown in the figure. What is the resultant electric field at O? Express your results in terms of unit vectors. Select file(s)Question A1 State what is meant by electric field strength at a point in space. How is its direction defined? Given that the magnitude field strength, E, at a distance r from a point charge Q is given by the formula: 1 Q E 4πεο r2 calculate the magnitude of the electric field at a point which is 10 cm from a positive 20 µC charge. 1 = 9 x 10° m/F. 4πεο Use
- A spherically symmetric charge distribution produces the electric field E- (3x10 ) N/C along the radial directrion, where r is in m. How much charge (in nC) is inside a 0.2 m radius spherical sphere?Charge is distributed throughout a spherical volume of radius R with a density p = ar², where a is a constant (of unit C/m³, in case it matters). Determine the electric field due to the charge at points both inside and outside the sphere, following the next few steps outlined. Hint a. Determine the total amount of charge in the sphere. Hint for finding total charge Qencl = (Answer in terms of given quantities, a, R, and physical constants ke and/or Eg. Use underscore ("_") for subscripts, and spell out Greek letters.) b. What is the electric field outside the sphere? E(r> R) = c. What is the electric field inside the sphere? Hint for E within sphere #3 Question Help: Message instructor E(r < R) = Submit Question E с $ 4 R G Search or type URL % 5 T ^ MacBook Pro 6 Y & 7 U * 8 9 0 0Y Part A A sphere has total charge Q=18 C and radius R. Letr be the radial distance measured from the center of the sphere. The sphere's charge is distributed in such a way that the volume charge density is proportional to the cube of r, that is p(r)=ar³ for some constant a. If the electric field magnitude is E = 39 N/C at r= R/2, what is E at r= 2R? k¹8.99 x 109 Nm²/C² 4700 Express your answer with the appropriate units. E = Submit Part B Submit Value ▾ Part C Value An infinitely long cylinder has uniform volume charge density and radius R. If the electric field magnitude is E = 39 N/C at r= R/2, what is E at r = 2R? r is the distance from the centeral axis of the cylinder. μà Submit HA Request Answer Value μA ← Request Answer Units C Units An infinitely big block of thickness 2R and uniform volume charge density extends infinitely in the z-y plane, and fills the region -R<<< R in the direction. If the electric field magnitude is E = 39 N/C at z = R/2, what is E at z = 22R? Sony ?…