A thin rod of length L has a total charge Q. Find the electric field E at point P (x is a given distance from the end of the rod), give your answer in the component form.
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A: Q = 5 uCR = 73 cmq = 1 uC
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- A thin rod of length L=13.6 m carries a uniform charge density 1=0.09 µC / m along its length. Take Coulomb's constant as k=9 x 10° N m?/ C2 .Determine the magnitude of the electric field at point A. Express your answer using 1 decimal place without the units. L A ► x(m) 20The figure below shows three regions in space separated by two infinite sheets of charge with surface charge densities σ and -σ. Find the magnitude and direction of the electric field in each region in terms of σ and εo. Given σ = 5 x10-6 C/m2, find the acceleration vector components of an electron placed in Region 2.Suppose there are two uniformly charged non-conducting spheres, one with a charge +Q, the other of charge -Q, each with radius R. The centres of these spheres are separated by a distance z = 3R. Draw a diagram indicating this, and show the positions where the electric field is equal to zero.
- A uniformly charged rod of length L = 1.2 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 6.8 μC. A point P is located on the x-axis a distance a = 2.4 m to the right of the origin.Write an equation for the electric field dE at point P due to the thin slide of the rod dx. Give your answers in terms of the variables Q, L, x, a, dx, and the Coulomb constant, k. Notice that the coordinate x will be less than zero over the length of the rod.+Q dQ Consider a thin plastic rod bent into a semicircular arc of radius R with center at the origin as shown in the figure. The rod carries a unformly distributed positive charge +Q. Let a point on the arc be specified by an angle, where is measured from the positive y axis and increases in the counter- clockwise direction. Throughout this problem, usek for Coulomb's constant. k-Q Rª Determine the electric field at the origin due to the indicated infinitesimal piece of the rod at an angle, that subtends an angle A. Express your answer in terms of , AP, R, Q and fundamental constants dE, - (*1/2 dE deA Line Of Uniform Charge Q Runs Along The Y-Axis From 0 To L. What is the electric field at the position (x0, y0)?
- In a certain region of space, the electric field is constant in direction (say horizontal, in the x direction), but its magnitude decreases from E=730N/C at x=0 to E=630N/C at x=25m.Determine the charge within a cubical box of side ℓ=25m where the box is oriented so that four of its sides are parallel to the field lines Express your answer using two significant figures.Points A, B, and C are at the vertices of an equilateral triangle. A certain positive charge q placed at A produces an electric field of magnitude 189 N/C at C. Suppose a second, identical charge is placed at B. What is the magnitude of the new electric field at C.The figure shows two parallel nonconducting rings with their central axes along a common line. Ring 1 has uniform charge q1 and radius R; ring 2 has uniform charge q2 and the same radius R. The rings are separated by a distance 3.00R. The ratio of the electric field magnitudes of Ring 1 and Ring 2 at point P on the common line is 2.79. What is the ratio of charge magnitudes q1/q2?
- Three equal charges q = +2.00 nC lie along the x axis with one at the origin and the other two at x = ± 1.00 m, respectively, as shown. Point P is located at z = 1.00 m. P Determine the magnitude of the electric field at point P. Express your answer in N/C, to at least one digit after the decimal point.can you please ans (k) & ( l)?Positive charge Q is distributed uniformly along the x-axis from x = 0 to x = a. A positive point charge q is located at x = a + r (see figure on the right). (a) Find the electric field due to the charge Q at the location of (at x = a + r). (b) Find the electric force that Q exerts on q. Show that for the I Qq and limiting case r >> a, the force reduces to F %! a. 4Tɛ, r² explain why you achieve this result.