General Physics

1 42130 1. Consider. three isolated point charges located at the corners of a right-angle triangle where ql =ir5.0th. q2 = - 2.0uC and q3 = +5.0ttC. The distances between ql and q2 is 0.10m and the distance between ql and :13 is 0.10m. :1. Sketch the direction of all the forces acting on q3. b. Sketch the angles from the +x direction of all the forces acting on (13. c. Sketch the triangle showing all the forces of the problem in Q]. d. Find the resultant force on q3. c. Find the magnitude of the resultant force on L13. 1'. Find the direction of the resultant force on q3. [dielectric constant: .90 = 8.85418782x10'\" Clar'm'i k = = 9x109i'h'mzC'2 1 [401m tits] 2. Three charges lie along the x axis as shown in Figure l. I 2m I @ Figure l. The positive charge ql = + 15.0nC. is at x = 2m and positive charge (12 = + 6.0uC is at the origin. a. Sketch the direction of all the forces acting on ql. q2 and q3 individually. I). Where must the negative charge (:13 be placed on the x axis such that the resultant force on it be zero? c. Given that (13 is replaced by (13 = --1C and 135 is +lm from the origin. Find the magnitude of the resultant force on ql due to q3. d. Given that q3 is replaced by :13 = +1C and q3 is +lm from the origin. Find the magnitude of the resultant force on q2 due to q3. e. Sketch the triangle showing all the forcess of the problem in Q2 in x-y cartesian coordinates. [30marks] 3. Three charges 1.0 pg. + 2.0 Hg and + 3.0 at; are placed respectively in an equilateral triangle A, B, C of sides 2m. :1. Sketch the triangle showing all the forces of the problem in Q3. b. Calculate the electric field at which is half way along BC. c. Calculate the potential at x which is half way along BC. [30marlts]