Question

help plz with these two. thanks

Tree long, straight wres are seen end-on in the figure below. The distance between the wires 『. 0.262 m. Wires A and B carry current 4A-4B-1.66 A, and wre C carries currert lc-3.14 A. Assume 《for example) the only forces exerted on wire A are due to wires B and C. Find the ferce per unit length exerted on the foilowing. (Express your answers in vector form (a) wire A (b) wire B N/m The figure shows four current-carrying wires that are perpendicular to the page, where J-14A -2.6A, 3.2A, and -44A Four Ampérian loops are aise shown.Find the current brough each lop (Indicate the direction with the sign of your answer LoopA Loop D Loop B

Answer 1

Consider the above given that where A at force per unit Length F_AB = mu/4 pi times 2 I_A I_B/ p A = 1.66 B = 1.66 F_AB = 10^-7 times 2 times 1.66 times 1.66/0.262 = 21.035 time 10^-7 Similarly force due to F_Ac = 10^-7 times 2 times 1.66 times 3.14/ 8.262 F_Ac = 12.617 times 10^-7 \r\n F = squareroot (F_AC)^2 + (F_BC)^2 2F_AB F_AC cos theta = squareroot (21.035 time 10^-7)^2 + (12.617 times 10^-7)^2 times squareroot 2 times (21.0 35 times 10^-7 times (12.617)) times cos 60 degree F_A = 76.874 times 10^-7 N/m b) F = F_BA + F_BC at for wire B = mu_0 /4 pi times 2I_b I_C/n long AB + mu/ 4 pi 2 I_B I_A/r_0 along CB = 10^-7 (2 times 1.66 times 3.14/ 0.262) along AB + 10^-7 (2 times 1.66^2/ 0.262) along CB F = 39.789 times 10^-7 along AB + 10^-7 times 21.035 F = squareroot (21.035)^2 + (39.789)^2 + 2 times (21.035) (39.789)