The charge density (l1

Consider two equal point charges q, separated by a distance 2a. Construct the plane equidistant from the two charges. By integrating Maxwell’s stress tensor over this plane, determine the force of one charge on the other.

A circular ring of radius R is uniformly charged with a charge q for half of its length and -q for the other half. Imagine the ring on the xy plane. Calculate the electric field at some point, P, located on the axis, say z, going through the center of the ring, O, and at a distance d from O along this axis.

A 2D annulus (thick ring) has an inner radius Ri and outer radius Ro, and charge Q non-uniformlydistributed over its surface. The 2D charge density varies with radius r by η(r)=Cr 4 for Ri ≤ r ≤ Roand η=0 for all other r. C is a constant. Answer the following in terms of the variables given above. Note: Gauss' Law will not be useful here.a) Find an expression for C such that the total charge of the annulus is Q. Include the SI units for C next to your answer.Do the units make sense?b) Draw a clear picture and use it to set up the integral to calculate the E-field at a point on the axis of the annulus (this axis is perpendicular to the plane of the annulus) a distance z from the center of the annulus. *** You must complete all the steps short of computing the integral (i.e. your eventual answer must be an integral with only ONE variable of integration and all other variables constant.) Show that your answer has the correct SI units for the electric field.

Electric force and coulomb balance1. By considering this assembly as being infinite plane plates uniformly loaded with the same load in absolute values, but of opposite signs; obtain a relation giving the electric field (Etot) between the plates as a function of the potential difference (delta V) between them and the distance (d) which separates the plates.2. Write the (simple) expression of the electric force on the movable plate having a charge Qmobile immersed in the electric field generated by the fixed plate (Efixe), see image on the left.3. From the notions of uniformly charged infinite flat plates, determine a relation giving the value of the charge of the movable plate (Qmobile) from the electric field (Emobile) that it generates.4. Substitute the relation obtained in #3 into the electric force relation from #2 and use the electric field relation from #1 to obtain an equation of electric force as a function of potential difference (delta V), knowing that Emovable = EFixed.5.…

Consider an infinitesimal segment located at an angular position θ on the semicircle, measured from the lower right corner of the semicircle at x=a, y=0. (Thus θ=π2 at x=0, y=a and θ=π at x=−a, y=0.) What are the x- and y- components of the electric field at point P (dEx and dEy) produced by just this segment? Express your answers separated by a comma in terms of some, all, or none of the variables Q, a, θ, dθ, and the constants k and π.

Question 1 Four stationary electric charges produce an electric field in space. The electric field depends on the magnitude of the test charge used to trace the field O has different magnitudes but same direction everywhere in space is constant everywhere in space has different magnitude and different directions everywhere in space CANAD

An insulating solid sphere of radius 3 m has 15 C of charge uniformly distributed throughout its volume.  Calculate the charge contained in a Gaussian surface having a radius 1/2 that of the sphere.  Present your answer accurately to 2 decimal numbers i.e 3.20.  Do not include units!

12. 2.10 Four masses 10 g each are tied together by 10 cm strings to make a square as shown. Two of the masses carry a charge of 2 μC. The string between the two charged masses is cut and the system begins to move. What is the maximum speed of the masses in m/s? Do not consider gravity or friction. You can imagine the masses to be on a horizontal frictionless table. Enter answer here Window

Consider a particle of charge q = 2.4 C and mass m = 1.5 kg passing through the region between a pair of infinitely long horizontal plates separated by a distance d = 4.5 m with a uniform electric field strength E = 36 N/C directed in the downwards direction (-y direction). The particle begins moving horizontally with an initial velocity of v = 25 m/s from a position halfway between the plates. A.How far horizontally in meters will the particle travel before striking one of the plates. B.Caculate the speed in meters per second,with which the particle will strike the plate. C.Suppose that the eletric field is directed upward instead of downward.Caculate the new horizontal distance, in meters, that the particle travels before striking one the plates.