Faculty of dentistry Department of Basic Sciences Date: 9-4-2011 Quiz 1 Time: 1/2h Student name ………………………… ID........................................... Circle the correct answer: 1- A conducting sphere has charge Q and its electric potential is V , relative to the potential far away. If the charge is doubled to 2Q, the potential is: A. V B. 2V C. 4V D. V/2 E. V/4 2 The units of 1/4πε0 are: A. N2C2 B. N · m/C C. N2 · m2/C2 D. N · m2/C2 E. m2/C2 3- The diagram shows the electric field lines in a region of space containing two small charged spheres (Y and Z). Then: A. Y is positive and Z is negative B. the magnitude of the electric field is the same everywhere C. the electric field is strongest midway between Y and Z D. Y is negative and Z is positive E. Y and Z must have the same sign 4- The units of resistivity are: A. ohm B. ohm·meter C. ohm/meter 5- Energy may be measured in: A. kilowatt B. joule·second D. ohm/meter2 C. watt E. none of these D. watt·second E. volt/ohm Answer only one problem: 1 Calculate the speed of an electron that is accelerated from rest through a potential difference of 90 V. V=90 V ,me=9.1x10-27 Kg qV=1/2mv2 ,q=e=1.6x10-19C 1.6x10-19 x 90 =1/2 9.1 x 10-27 v2 v = 5.6 x 106 m/s 2- Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of 10.0 g. Silver has 47 electrons per atom, and its molar mass is 107.87 g/mol. N= NAm = M (6.02 x 1023 atoms/mol x (10 g) 107.87g/mol N=5.4 x 1022 atom q= NZe=5.4 x 1022 x 47=25x1023 e ________________________________________________________________________________ me=9.109 ×10−31 kg F qq 1 q1q2 K 1 22 , 2 4o r r mp=1.67×10−27 kg K 1 1 qc E (r ) 4o 4o r 2 e=1.6x10-19 C NA=6.023x1023 mole-1 F x = q t E x V (r ) K q r U tc = qt Vc Faculty of dentistry Department of Basic Sciences Date: 9-4-2011 Quiz 1 Time: 1/2h Student name ………………………… ID........................................... Circle the correct answer: 1-Two positive point charges Q and 2Q are separated by a distance R. If the charge Q experiences a force of magnitude F when the separation is R, what is the magnitude of the force on the charge 2Q when the separation is 2R ? (A) F/4 (B) F (C) 4F (D) F/2 (E) 2F 2. Choose the correct statement concerning electric field lines: A. field lines may cross B. field lines are close together where the field is large C. field lines point away from a negatively charged particle D. a charged point particle released from rest moves along a field line E. none of these are correct 3-An electron is accelerated from rest through a potential difference V . Its final speed is proportional to: A. V C. √ V B. V 2 E. 1/√ V D. 1/V The rate at which electrical energy is used may be measured in: A. watt/second B. watt·second C. watt D. joule·second E. kilowatt·hour Current is a measure of: A. force that moves a charge past a point B. resistance to the movement of a charge past a point C. energy used to move a charge past a point D. amount of charge that moves past a point per unit time E. speed with which a charge moves past a point Answer one problem only: 1- The potential difference between the accelerating plates of a TV set is about 25 kV. If the distance between the plates is 1.5 cm, find the magnitude of the uniform electric field in the region between the plates. V=25 x 103 V d= 1.5 x 1-2 m V=Ed E=V/d E=(25 x 103 ) /(1.5 x 1-2 )= 16.6 x105 V/m 2- Two identical conducting spheres, A and B, carry equal amounts of charge(q) and are fixed a distance apart large compared with their diameters. They repel each other with an electrical force of 220 N. Suppose now that a third identical sphere C, having an insulating handle and initially uncharged, is touched first to sphere A, then to sphere B, and finally removed. Find the magnitude force between spheres A and B now. In the 1st case F1=k (qAqB)/r2= k (q2)/r2 = 220 x 10 -6 N In the 2nd case F2=k (qAqB)/r2= (1/2q x 3/4q)/r2 = 3/8( k (q2)/r2 ) Substituting the value of k (q2)/r2 =220 x 10 -6 N Then F2 =3/8 x 220 x 10 -6 = 82.5 x 10 -6 N = 82.5 N _________________________________________________________________________________ me=9.109 ×10−31 kg E (r ) qc 4o r 2 1 mp=1.67×10−27 kg F x = q t E x V (r ) K q r U tc = qt Vc e=1.6x10-19 C NA=6.023x1023 mole-1