Question

Electric Fields Problem Statement A 5.0-uC point charge is placed at the 0.00 cm mark of a meter stick and a -4.0-uC point charge is placed at the 50 cm mark. At what point on a line joining the two charges is the electric field due to these charges equal to zero? Visual Representation • Draw a sketch of the charge distribution. • Establish a coordinate system and show the locations of the charges. • Identify the point P at which you want to calculate the electric field. • Draw the electric field of each charge at point P. · Use symmetry to determine if any components of Ēne are zero. . Mathematical Representation For each charge, determine its distance from P and the angle of Ē; • Determine the field strength of each charge. Write each vector in component form. · Sum the vector components to determine Ēnet- Check result for correct units and that it is reasonable.

Answer 1

9 = 5x106c i 92 a - 4x106c 21 92 E2 2=0 x = Soci x=a Vi k N2 키 -a cm Let be the point where electric field is 3ero r = a 22 = (2-50 cm Ei is the electric field at the point due to q, omd Ea is the field due to la Eis Electric field due to a ,, 21 Gheo ra & Electric field due to la qa EM ChEo = 82 het electric field to be zero For the Ei Ez qi Gho १२ 1 وه - teine 22 q, 92 752 5x106 4x10 6 a? = 4 a 407 (a-50) → 5 (a-so)? >> 5 ( a-1002 +2500) = 40p. = 592-500 a + 12500 +12500 On solving the and degree equation, = 473.6cm Cans 4.74 M = 0. 500 a - - a2 a