Need help with all parts please! Consider two long wires with current I_1 = 6.6
ID: 1554271 • Letter: N
Question
Need help with all parts please!
Consider two long wires with current I_1 = 6.6 A and I_2 = 1.4 A as shown in the figure. Let d = 0.65 m, a = 1.15 m. Part (a) Express the magnitude of the magnetic field at A created by current I_1, B_AI, in terms of I_1 and d. Part (b) What is the direction of B_A1? Part (c) Express the magnitude of the magnetic field at A created by current I_2, B_A2, in terms of I_2 and d. Part (d) What is the direction of B_A2? Part (c) Express the total magnetic field at A created by current I_2 and I_2, B_A2, in terms of I_2 and d. Part (d) What is the direction of B_A2? Part (e) Express the total magnetic field at A created by current I_1, I_2, B_a in terms of I_1, I_2 and d. Take out of the screen as the positive direction. Part (f) Calculate the numerical value of B_A in Tesla. Part (g) What is the direction of B_A? Part (h) Express the magnitude of the magnetic field at B created by current I_1, B_B1, in terms of I-1 and a. Part (i) What is the direction of B_B1? Part (j) Express the magnitude of the magnetic field at B created by current I_2, B_B1, in terms of I_1 and a. Part (k) What is the direction of B_B2? Part (l) Express the total magnetic field at B created by current I_1 and I_2, B_B in terms of I_1, I_2, d, and d. Use out of the page as the positive direction. Part (m) Calculate the numerical value of B_B in Tesla. Part (n) What is the direction of B_B?Explanation / Answer
(A) BA1 = u0 I1 / (2 pi d / 2) = u0 I1 / pi d
(B) into the page
(C) BA2 = u0 I2 / ( 2 pi d/2 ) = u0 I2 / pi d
(D) out of page
(E) BA = (u0 / pi d) (I2 - I1)
(F) BA = (4pi x 10^-7 / ( pi x 0.65 )) (1.4 - 6.6)
= -3.2 x 10^-6 T
magnitude = 3.2 x 10^-6 T
(g) into the page
(h) BB1 = u0 I1 / (2 pi a)
(i) out of page
(j) BB2 = u0 I2 / ( 2 pi (d + a))
(k) out of page
(l) BB = (u0 / 2pi) [ I1 / a + I2/(a + d)]
(m) = (4pi x 10^-7 / 2pi) [ 6.6 / 1.15 + 1.4 / (1.15 + 0.65)]
= 1.30 x 10^-6 T
(n) out of page