Two long wires, 4cm apart, are parallel to each other. The wires have an equal a

Question

Two long wires, 4cm apart, are parallel to each other. The wires have an equal amount of current I1=I2= 16A flowing through them. Points P and R are a distance a = 2.5 cm above the top wire and below the bottom wire respectively. Point Q is halfway between the two wires. (Figure 1)

Part A

What is the net magnetic field strength at point P in the figure? (Figure 1)  

Part B

What is the net magnetic field's direction at point P in the figure?

What is the net magnetic field's direction at point P in the figure?

Part C

What is the net magnetic field strength at point Q in the figure? (Figure 1)  

Part D

What is the net magnetic field's direction at point Q in the figure?

What is the net magnetic field's direction at point Q in the figure?

Part E

What is the net magnetic field strength at point R in the figure?

Part F

What is the net magnetic field's direction at point R in the figure?

What is the net magnetic field's direction at point R in the figure?

Explanation / Answer

A) at point P,

Bnet = B1 - B2

= mue*I1/(2*pi*d1) - mue*I2/(2*pi*d2)

= 4*pi*10^-7*16/(2*pi*0.025) - 4*pi*10^-7*16/(2*pi*(0.04 + 0.025))

= 7.88*10^-5 T

B) out of the page

C) at point Q,

Bnet = B1 - B2

= 0 (since B1 and B2 have same magnitude but opposite in direction)

D) No direction

E) at point R,

Bnet = B2 - B1

= mue*I1/(2*pi*d2) - mue*I2/(2*pi*d1)

= 4*pi*10^-7*16/(2*pi*0.025) - 4*pi*10^-7*16/(2*pi*(0.04 + 0.025))

= 7.88*10^-5 T

F) out of the page

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