Question

2. A positive charge of magnitude q, is shown in the diagram below Points B and C are a distance r, away from the charge, point A is a distance 2r, from it, and point D is evenx farther away a. i. On the diagram, indicate the direction of the electric field at points A, B, C, and D ii. Let Was represent the absolute value of the work done by an external agent in moving a small test charge from point A to point B. Would the absolute value of the work done by an external agent Est charge from point B to point Cbe greater than, less than, or equal to Wa? in moving the same Would the absolute value of the work done by an external agent in moving the same test charge from point A to point C be greater than, less than, or equal to WAs? Explain b. A large metal sphere with zero net charge is now placed to the left of point A as shown. i. Sketch the charge distribution on the metal sphere in the diagram at right. ii. Has the magnitude of the electric field at the following points increased, decreased, or remained the same? Explain. point B ' point D ii. Has the direction of the electric field at the following points changed? Explain e point B * point C iv. Has the absolute value of the electric potential difference AVa (ie, IVa -VAD increased, decreased, or remained the same? Explain your reasoning.

Answer 1

i The divectim deagram draw n D6 elec toc ield hane been s hao n in mnarysphericl utace entre ct14. ef radius Y here Y ls dii tance f D fram. 7hes d'rech'm f eleChric eld w v to this Cauuian sfae and 2Y and r VAVB= Vc CiNo te thut A V CA -Y charge Test 2eCall A positive charge of magnitude a, is showe in the diagram beu. & Points & and Care a diatance r, away from the charpe. point A is a distance 2r, from it, and point D is even firther away. i. On the disgram, indicate the dire ction of the electric field at points A. #, C. and D. ii. Let W.. rerment the absolute value of the workd done by an external asoet in avsing a smell test charge frum point A to point B WACE Va-Ve = D So WABWAC Wae= Vs-VA O movi Would the absolute value of the work done by an external agerot in moving the same test charge from point so poier C he greater than, less than, or egual to W3 Explain. Ve- VA VB-VA Potential at B and are S aue AS Would the shsolute value of the work done by an external agent in moving the same test charge from point A to point C be greater than, less than, or equal to W? Explain S. WA WAL Anc b. A large metal sphere with zero net charge is now placed to the left of point A as shown. i. Sketch the charge distribution on the metal sphere in the diagram at right. he chra di'stbutin haue been Shoon n bigme ii. Has the magnitude of the electric fleld at the following points increased, decreased, or remained the sane? Explain. point B C he clec foc eld at e and c nchanged becaue Teo. Thi's Can uo be un durs pro d by auss point D Srace is net Uhage law. A ux henaind Sewe Jhe dinection nil also remaiu Same Vi-Vau Glso hemain jame i wt hot change