Field of discrete distributions of charges and points. A charge of 3μC is at the origin. Determine the value and direction of the electric field on the x axis, at the point: x = 5m and x = -10 m, in both cases draw E.
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- A 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/mField of discrete distributions of charges and points. A charge of 3 C is at the origin. Determine the value and direction of the electric field on the x axis, at the point: x = 5m and x = -10 m, in both cases draw E.The electric potentlal in a region Is given as a function of r. V(r) = where Ris a constant with dimenslons of length. Find the electric field vector atr=(R/2). dw O a. E - 24 O b. E %3D O C.E =- %3D d. E= O e. Ē = - 2kyR A %3D 3weg
- a) What is the electric field strength in a distance of 10.0 um to the right of charge q3?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 06:46 M CU. NO IT Part 1: The Charged Semi-Circular Hoop A thin plastic rod is bent into the shape of a semicircle of radius a. It is charged negatively with -Q Coulombs of charge. Show how to derive the equation for the electric field at the origin of the coordinate axes in the following diagram. 0 Tif. L. 18 dq ACORITONY 1. Identify the position vector for a small portion of the source charge distribution and express it in plane polar coordinates using a unit vector in those coordinates. f the fold O <
- You drop your smartphone and crack the battery. As the lithium-ion components start to mix, the phone is charged to uniform surface charge density o. Using the given dimensions, Determine the electric field vector at a point P, which is a distance d above the center of the clock. O W h P 0The figure below is a cross section of three non . plates conductor of infinite width, where the charge is evenly distributed. 01 02 (1/2) L . 2L R 03 The charge density on the surface of each plate is 1 = - 3µC/m2, 2 =+ 5µC/m2 , 3 = - 5µC/m2 , and L = 2 cm. In vector notation, what is the field net electricity at points P and R?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 = 4T€0 r2 calculate the magnitude of the electric field at a point which is 10 cm from a positive 20 µC charge. 1 = 9 x 10º m/F. 4πεο Use Question A2 Describe what is the cause of the magnetic field of the Earth. Describe what is meant by mag- netic field strength and state its unit of measurement. Question A3 State Newtons law of gravitation in equation form naming ALL terms in the equation. The gravi- tational potential energy of a mass m on the surface of a planet of radius R and mass M is given by the expression: GMm U = - R Derive an expression for the escape velocity vesc for the given potential.
- Two identical point charges having mag- nitude q each are placed as shown in the figure. Fig X 1. Plot the variation of electric field on x-axis. 2. Where will the magnitude of electric field be maximum on x-axis? Find the maximum value of electric field on x-axis. 3. If we place a negative charge (of magnitude —g and mass m) at the mid point of charges and displaced along .x- axis, examine whether it will perform simple harmonic motion. If yes, then find the time period of oscillation of the particle.Time left C For which of the following charge distributions would Gauss's law not be useful for calculating the electric field? a spherical shell of radius R with charge uniformly distributed over its surface O a. Ob. an infinitely long cylinder of radius R with charge uniformly distributed over its surface Oc. a uniformly charged sphere of radius R d. an infinite planar sheet having constant surface charge density Oe a cylinder of radius R and height h with charge uniformly distributed over its surface NEXT PAGEsolvEx. Consider a negative charge –Q that is uniformly distributed along the yaxis between y =0 and y = l as shown. Which of the following is the correct expression for the a-component of the net electric field at point P? +y Q P + x ydy (2 + y?)3/2 OA. kQ O B. kQ ydy (교2 + y?)s/2 zdy kQ ( + y )3/2 OC. OD. kQ zdy (22 + y?)3/2