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The two insulated wires in (Figure 1) cross at a 30 degree angle but do not make

ID: 1557880 • Letter: T

Question

The two insulated wires in (Figure 1) cross at a 30 degree angle but do not make electrical contact. Each wire carries a 5.0 A current. Points 1 and 2 are each 4.5 cm. from the intersection and equally distant from both wires Express your answer using two significant figures. Enter your answer as positive if the magnetic field is directed into the page and as negative if the magnetic field is directed out of the page. What is the magnetic field at point 2? Express your answer using two significant figures. Enter your answer as positive if the magnetic field is directed into the page and as negative if the magnetic field is directed out of the page.

Explanation / Answer

Given =300

I=5A

The two lines bisects the angle 300 ,so each of smaller angles is 150

Cos15=r/4.5

r=4.5xcos15 cm

r=0.045cos15m

part A)

the magnetic field at point 1

B=oI/2r

At point1 the magnetic field is in both wires

B= oI/2r + oI/2r

=(2 oI)/2r

B= oI/r

=(4x10-7 x5)/(0.045cos15)

B=4.6x10-5 T

B1=46 T