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- An infinitely long, very thin half-cylindrical shell of radius R is uniformly charged such that its surface charge density is o. Calculate the electric field in the center of the cylinder, (marked as 'X'). [Answer: Ē TEOarrow_forwardConsider a uranium nucleus to be sphere of radius R=7.41015 m with a charge of 92e distributed uniformly throughout its volume. (a) is the electric force exerted on an electron when it is 3.01015 m from the center of the nucleus? (b) What is the acceleration of the electron at this point?arrow_forwardPlanes x = 2 and y = -3, respectively, carry charges 10 nC/m² and 15 nC/m². If the line x = 0, y = 2 carries charge 10n nC/m, calculate E at (1, 1, -1) due to the three charge distributions.arrow_forward
- An infinitely long cylinder in free space is concentric with the z-axis and has radius a. The net charge density p in this cylinder is given in cylindrical coordinates by, 1 a² +r² where A is a constant. (a) Show that the total charge per unit length, λ in the cylinder is λ = πA ln 2. p(r) = A- Hint: you may find the following integral useful. 1 2 J for r a) and inside the cylinder (r< a). (d) The cylinder is composed of a material in which the polarisation P is given by P = P₁² in (1 +5²) e₁₁ er, r where Po is a constant. Determine the bound charge density pb in the cylinder. Hence, or otherwise, determine a relation between A and Po such that the free charge density of in the cylinder vanishes.arrow_forwardGiven that D = 10 x 3 3 a x(μC/m2), determine the total charge (in microcoulombs) enclosed in a cube of 2 m on an edge, centered at the origin and with edges parallel to the axes.arrow_forwardI'm looking forward to it :) The total q1 =8.nanoC charge on its surface is uniformlyFind the work done by the electric field when a charge of q2 =2.4 nanoC is displaced from x1 =70cm to x2=110cm on the axis of the dispersed hollow disk with inner radius R1 =30cm and outer radius R2 =70cm.arrow_forward
- A point charge q=5C is situated at a long distance r=15m on axis from one end of a thin no conducting rod of length L=2m (r≫L) having a charge Q=6C (Uniformly distributed along its length). The magnitude of electric fied at the point charge q will feel is:arrow_forwardA charge is distributed over a spherical body of radius R so that the density of the volumetric charge at any point of this space follows the relationship p = kr^alpha where k and alpha is constant and r is after %3D the point from the center of this spherical space. Find the value of E at any point where is rarrow_forwardFind the ratio of q/Q for the E-field to be zero at adistance of z = 3.59R for the charge distributionand geometry of problem #30 of the text. a isthe charge on the LARGER ring. Q is the chargeon the SMALLER ring. Answer in 5 Significant Figures!!arrow_forwardTwo large nonconducting sheets one with a fixed uniform positive charge and another with a fixed uniform negative charge are placed at a distance of 1 meter from each other. The magnitude ofthe surface charge densities are o, = 6.8µC / m² for the positively charged sheet and o_ = 4.3µC / m² for the negatively charged sheet. What is the electric field in the region between the sheets? [JEST 2014] (a) 6.30x10 N/C (b) 3.84×10' N/C (c) 1.40 x 10$ N/C (d) 1.16 x 10$ N/Carrow_forwardProblem 1: A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A and B are 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to be moved from A to B, determine the following: What isThe work done in moving the test charge;arrow_forwardD5.6. A perfectly conducting plane is located in free space at x = 4, and a uniform infinite line charge of 40 nC/m lies along the line x = 6, y = 3. Let V = 0 at the conducting plane. At P(7, –1, 5) find: (a) V; (b) E. %3D Ans. 317 V; –45.3ax - 99.2ay V/marrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
