Consider two long wires with current I 1 = 8.2 A and I 2 = 2.8 A as shown in the
ID: 1272474 • Letter: C
Question
Consider two long wires with current I1 = 8.2 A and I2 = 2.8 A as shown in the figure. Let d = 0.8 m, a = 0.75 m.
Randomized VariablesI1 = 8.2 A
I2 = 2.8 A
d = 0.8 m
a = 0.75 m
Part (a) Express the magnitude of the magnetic field at A created by current I1, BA1, in terms of I1 and d.
Consider two long wires with current I1 = 8.2 A and I2 = 2.8 A as shown in the figure. Let d = 0.8 m, a = 0.75 m.
Randomized VariablesI1 = 8.2 A
I2 = 2.8 A
d = 0.8 m
a = 0.75 m
Part (a) Express the magnitude of the magnetic field at A created by current I1, BA1, in terms of I1 and d.
Part (b) What is the direction of BA1?
Part (c) Express the magnitude of the magnetic field at A created by current I2, BA2, in terms of I2 and d.
Part (d) What is the direction of BA2?
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.
Part (f) Calculate the numerical value of BA in Tesla.
Part (g) What is the direction of BA?
Part (h) Express the magnitude of the magnetic field at B created by current I1, BB1, in terms of I1 and a.
Part (i) What is the direction of BB1?
Part (j) Express the magnitude of the magnetic field at B created by current I2, BB2, in terms of I2, a and d.
Part (k) What is the direction of BB2?
Part (l) Express the total magnetic field at B created by current I1 and I2, BB, in terms of I1, I2 and d. Use out of the page as the positive direction.
Part (m) Calculate the numerical value of BB in Tesla.
Part (n) What is the direction of BB?
Explanation / Answer
a) BA1 = mue*I1/(2*pi*d/2)
b) in to the page
BA1 = 4*pi*10^-7*8.2/(2*pi*0.4)
= 4.1*10^-7 T
c) BA2 = mue*I2/(2*pi*d/2)
d) out of the page
BA2 = 4*pi*10^-7*2.8/(2*pi*0.4)
= 1.4*10^-7 T
e) BA = BA1 - BA2
= (mue/2*pi*d/2)*(I1-I2)
f) BA = (4*pi*10^-7/2*pi*0.4)*(8.2-2.8)
= 2.7*10^-7 T
g) in to the page
h) BB1 = mue*I1/(2pi*a)
i) out of thepage
j) BB2 = mue*I2/(2*pi*(d+a))
k) out of the page
l) BB = BB1 + BB2
= mue*I1/(2*pi*a) + mue*I2/(2*pi*(a+d))
= (4*pi*10^-7*8.2/2*pi*0.75) + 4*pi*10^-7*2.8/(2*pi*(0.75+0.8))
= 2.55*10^-6 T
m) out of the page