Consider two long wires with current I_i =5.6 A and I_2 = 2.4 An as shown in the
ID: 1600924 • Letter: C
Question
Consider two long wires with current I_i =5.6 A and I_2 = 2.4 An as shown in the figure. Let d = 0.65 m, a = 0.95 m. Express the magnitude of the magnetic field at A created by current l_1 B_AI, in terms of I_1 and d. What is the direction of Bal? Express the magnitude of the magnetic field at A created by current I_2. B_A2. In terms of I_2 and d. What is the direction of B_A2? Express the total magnetic field at A created by current/, - and I2. BA. In terms of I_1. I_2. and d. Take out of the screen as the positive direction. Calculate the numerical value of B_A in Tesla. What is the direction of B_A? Express the magnitude of the magnetic field at B created by current//.%/. In terms of/, I_1 and a. What is the direction of B_B1? Express the magnitude of the magnetic field at B created by current I_2. B_B2. In terms of I_2, a and d. What is the direction of B_B2? Express the total magnetic field at B created by current I_1 and l_2. B_B. In terms of I_1. I_2. a. and d. Use out of the page as the positive direction. Calculate the numerical value of B_B in Tesla.Explanation / Answer
e)The field at A will be the difference of the individual fields due to the wires, as the current flows in the same direction.
B1 = u0 I1 / 2 pi R1
B2 = u0 I2 / 2 pi R2
Ba = B1 - B2
Ba = u0 I1 / 2 pi R1 - u0 I2/ 2 pi R2
Ba = u0/ 2 pi (I1/(d/2) - I2/(d/2))
f) Ba = u0 / 2 pi (I1/(d/2) - I2/(d/2))
Ba = 4 pi x 10^-7 / 2 pi (5.6/0.325 - 2.4/0.325) = 1.9 x 10^-6 T
Hence, Ba = 1.9 x 10^-6 T
l)Bb = u0 / 2 pi (I1/R1 - I2/R2)
Bb = u0 / 2 pi (I1/a - I2/(a + d))
m)R2 = d + a = 0.65 + 0.95= 1.6 m
Bb = 4 pi x 10^-7 / 2 pi (5.6/0.95 - 2.4/1.6) = 3.15 x 10^-6 T
Hence, 3.15 x 10^-6 T