(10%) Problem 8: Consider two long wires with current I1 = 7.4 A and I2 = 3 A as
ID: 1402809 • Letter: #
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(10%) Problem 8: Consider two long wires with current I1 = 7.4 A and I2 = 3 A as shown in the figure. Let d = 0.85 m, a = 1.8 m. Randomized Variables I1 =7.4 A I2= 3 A d =0.85 m 7% Part (a) Express the magnitude of the magnetic field at A created by current I1 , BAl , in terms of I1 and d. 7 % Part (b) What is the direction of BA1? 7 % Part (c) Express the magnitude of the magnetic field at A created by current I2 , BA2 , in terms of I2 and d. 7% Part (d) What is the direction of BA2? 7 % Part (e) Express the total magnetic field at A created by current I1 and I2, BA in terms of I1 , I2 and d. Take out of the screen as the positive direction. 7% Part (f) Calculate the numerical value of BA in Tesla. 7% Part (g) What is the direction of BA?Explanation / Answer
A) BA1 = mu_0*I1/(2*pi*(d/2))
BA1 = (4*3.142*10^-7*7.4)/(2*3.142*(0.85/2)) = 3.48*10^-6 T
B) into the page
C) BA2 = mu_0*I2/(2*pi*(d/2))
BA2 = (4*3.142*10^-7*3)/(2*3.142*(0.85/2)) = 1.41*10^-6 T
D) out of the page
E) BA = [mu_0/(2*pi*(d/2))](I2-I1)
F) BA = (1.41-3.48)*10^-6 = 2.07*10^-6 into the page
G) into the page
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