Question

D1 5-6

Please help me by going through how to complete each problem because the answers are already listed below. Please write clearly so I can understand.

5. Two charges are placed on the x-axis and are separated by 1.0 m. The first charge on the left side, has a charge of -2.5 uC whilst the second charge, q2 located on the right has a charge of 6.0 uC. Determine the point (other than infinity) at which the total electric field is zero. Solution: -0.39 m and 1.81 m (The logical solution will be 1.8 m left of charge qi) 6. Two point charges are a small distance apart. a. Sketch the electric field lines for the two if one has a charge four times that of the other and both charges are positive. b. Repeat for the case in which both charges are negative. Write a description below each sketch.

Answer 1

6 +2.54c 9,254,95 su 102 region <o E due to - 2846 is in+x (direction) Edue to é ell es in ax opposite en direction - We may get a point where electric fieldies zero For any rondom x in this region on naxis E = Karl + K 2 = 0 =) (-25) K (6) → 2.5 - TU - 25 (x+1) = 6*² >> 2-5*75*1+2.526x2 3.50²-52-25=0 2= 1.81 and -0.39 Two solation 1.81 and-0.39 but in region x20 251.81 mot lies To calculate shrrately we need to canalyse other region (we conosso commet directly). For olac Edue to - 2uc is sax direction E due to 64c is in anderection. No no concellation and their could be no point en this region with gero elechic feeld for x> 1 due to 2200 is on - x derection E due to 64c es en tx direction so we may findo solution. E - Kq & KQ2 = 0

2) (25) (-1) = 6x² -> 622-25 (-1) 3.54² +5%-2.550 Ug = 0. 39 22 = -1.82 giving another solution - 1.82 at 1.8 m A in left of a +49 We get one point between two eleches charges with zero electric field. left of chage to the electric field is toward ve on shown in figure, right of +49 elchic field y taward the as shown. We get one poent with yero eleche field selvery has changes, heft of -q we have electric field lovord the and right of -49 electric field is toward -ve.