Static Electricity.pdf

Static Electricity (Electric field intensity) D.B-24 P (1kg) 900 2ξ2𝑚 2ξ2𝑚 Q(1.5 × 10−9 𝐶) R(1.5 × 10−9 𝐶) In the figure ∆𝑃𝑄𝑅 is...

Static Electricity (Electric field intensity) D.B-24 P (1kg) 900 2ξ2𝑚 2ξ2𝑚 Q(1.5 × 10−9 𝐶) R(1.5 × 10−9 𝐶) In the figure ∆𝑃𝑄𝑅 is a right-angle triangle. According to the figure, it was testing that the body will be hanged at the point `P` in equilibrium position or not. c) Calculate the potential at the point `P`. d) The body placed at the point `P` will be hanged or not in free space –Verify it mathematically, C.B-24 𝐴 = +1.5 ×−3C B 2m 1.5m 1.5m 2m 2m D 𝐶 = −2.5 ×−3 C As shown in above figure, +1.5 × 10−3 C and −2.5 × 10−3 C charges are kept at point A respectively of a rectangular field ABCD in air medium. c) Calculate the electric intensity at point B. d) Give your opinion with mathematical analysis from which direction positive will flow if a metallic wire connects the points B and D. Ctg.B-24 In the figure, there are charges 𝑞1 = 2 × 10−9 𝐶 ,𝑞2 = 3 × 10−9 𝐶 and 𝑞1 = 4 × 10−9 𝐶 at point A, B and C respectively of the square in the air the length of each side of the square is 1m. 𝑞1 = 2 × 10−9 𝐶 B A 1m 𝑞2 = 3 × 10−9 𝐶 1m P 1m 1m D C 𝑞3 = −4 × 10−9 𝐶 c) Find the electric field intensity at the center P of the square. d) Whether work will be done to bring any charge from point D to point P- Analyze mathematically M.B-24 P +6 × 10−9 C 10cm 10cm +4 × 10−9 C A O B Charges at point A and B are +6 × 10−9 C and +4 × 10−9 C respectively. OA= OB = OP = 10cm, OP⊥AB. c) Determine the electric potential at point P. d) What will be the change in electric field intensity at point P if +𝟒 × 𝟏𝟎𝟗 𝐂 charge is placed by an equal opposite charge at point B? Analyze mathematically. R.B-23 r =2m 𝑟1 = 15𝑐𝑚 𝑟2 = 25𝑐𝑚 𝑄1 = −2.25𝑛𝑐 𝑄2 = −6𝑛𝑐 In the above figure charges are placed in two hollow spheres. c) Find the neutral point in the on the line joining between two charged spheres. d) If the charged spheres are connected with thin wire then compare the final amount of charges on each sphere with proper mathematical analysis. C.B-23 C D P B 𝑞2 = 8𝑛𝑐 A 𝑞1 = 4𝑛𝑐 In the figure, in a circular path two charges are kept at point A and B. P is the centre of the circle, radius of the circle is 15cm and AB = BC = CD = DA. c) Determine the magnitude of electric field intensity at point P of the stimulus. d) In which direction will the free electrons of the conductor move, if a conducting wire id connected to points C and D? Give your opinion mathematically. S.B-23 B C A D 12cm In the figure two charged bodies having charges +9nC and -16nC are placed at the points B and C respectively.AD=12cm.B is the midpoint of A and D.C divides AD at the ratio 2:1. c) Find the electric potential at the point D. d) If another unit positive charged is placed at the point A then which direction it will move? Explain with mathematical analysis.