1) An infinitely long wire lies along the z axis and carries a current of 24 A i

Question

1) An infinitely long wire lies along the z axis and carries a current of 24 A in the positive z direction. A second infinitely long wire is parallel to the z axis, and intercepts the x axis at x = 10.6 cm.

(a) Find the current in the second wire if the magnetic field at x = 1.9 cm is zero.
I2 =  A

(b) What is the magnetic field at x = 5.0 cm?

=   mT

(a) x = 1.1 m, y = 3.4 m
pT

(b) x = 1.9 m, y = 1.9 m
pT

(c) x = 1.9 m, y = 3.4 m
pT

4) Parallel wires 1 and 2 carry currents I1 and I2, respectively, where I2 = 2I1. The two currents are in the same direction. The magnitudes of the magnetic force by current 1 on wire 2 and by current 2 on wire 1 are F12 and F21, respectively. These magnitudes are related by which of the following equations?

2F21 = F12 F21 = 2F12     F12 = F21   4F21 = F12. F21 = 4F12

Explanation / Answer

B1= (UoI1/2pid)= 3.05 E-5 T

as the field at x=1.9cm is zero the cond produces the same but in opposite direction.

x1=10.6-5=5.6 cm=0.056 m

B2=UoI2/2pix1= 3.05E-5 T

I2= 2pix1 (3.05E-5)}= 17.08 A

b)

B=B1-B2= (UoI1/2pix) - (UoI2/2pi(10.6-5)E-2) = 1.75 E-5 T

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