An infinitely long single wire with current I_1 = 8.5 A and a rectangle wire loo
ID: 3162719 • Letter: A
Question
An infinitely long single wire with current I_1 = 8.5 A and a rectangle wire loop with current I_2 = 0.45 A are in the same plane as shown. The dimensions of the loop are a = 0.042 m and b = 0.181 m. The infinite wire is parallel to side AD of the loop and at a distance d = 0.26 m from it. Part (a) Express the magnitude of the magnetic force F_ad, from I_1 on wire AD in terms of I_1, I_2, d and the loop dimensions. F_ad = ______________ Part (b) Calculate the numerical value of F_ad in N Part (c) Express the magnitude of the magnetic force F_bc, from I_1 on wire BC in terms of I_1, I_2, a, b, and d. Part (d) Calculate the numerical value of F_bc in N Part (e) Is the force of F_ad repulsive or attractive? Part (f) Is the force of F_bc repulsive or attractive? Part (g) The forces of F_ad and F_bc both act on the infinite wire I_1. Do they sum to produce a net attractive or repulsive force? Part(h) Calculate the numerical value of the sum of the forces F = F_ad - F_bc on the infinite wire in N.Explanation / Answer
here,
I1 = 8.5 A , I2 = 0.45 A
a = 0.042 m , b = 0.181 m
d = 0.26 m
a)
the magnitude of force Fad , Fad = u0 * I1 * I2 * b /( 2 * pi * d)
b)
putting the values of variables
Fad = u0 * I1 * I2 * b /( 2 * pi * d)
Fad = 1.26 * 10^-6 * 0.45 * 8.5 * 0.181 /( 2 * pi * 0.26)
Fad = 5.34 * 10^-7 N
c)
the magnitude of force Fbc , Fbc = u0 * I1 * I2 * b /( 2 * pi * (d + a))
d)
putting the values of variables
Fad = u0 * I1 * I2 * b /( 2 * pi * (d + a))
Fad = 1.26 * 10^-6 * 0.45 * 8.5 * 0.181 /( 2 * pi * (0.26 + 0.042)
Fad = 4.6 * 10^-7 N