The two insulated wires in ( Figure 1 ) cross at a 30? angle but do not make ele
ID: 1281989 • Letter: T
Question
The two insulated wires in (Figure 1) cross at a 30? angle but do not make electrical contact. Each wire carries a 5.0 Acurrent. Points 1 and 2 are each 4.5cm from the intersection and equally distant from both wires.
a) What is the magnetic field strength at point 1?
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.
b) What is the magnetic field strength 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.
The two insulated wires in (Figure 1) cross at a 30? angle but do not make electrical contact. Each wire carries a 5.0 Acurrent. Points 1 and 2 are each 4.5cm from the intersection and equally distant from both wires. a) What is the magnetic field strength at point 1? 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. b) What is the magnetic field strength 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
I = 5.0 A
d = 4.5 cm * sin 75 = 0.0435 m
magnetic field due to both the wires at point 2 is
B1 = mu I1 / 2 pi d1 + mu I2 / 2 pi d2
since I1 = I2 = 5.0 A
d1 = d2 = 0.0435 m
B1 = 2 [mu I1 / 2 pi d1]
= 2 [4 pi * 10-7 * 5 / 2 pi * 0.0435]
B = 4.6 * 10-5 T
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A similar analysis shows that total magnetic field at point 2 is zero
The magnitude of the fields at 2 due to each wire are equal, but they are in opposite direction
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