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In the picture to the right, two long straight wires carry currents 1₁ and 12, both pointing down along the page. At a point P, which is exactly at the midpoint between the two wires, the net magnetic field points into the screen. Based on that information, which of the following choices is correct regarding the magnitudes of the two currents? a) 1₁ > 1₂ b) 1₁ <1₂ c) I₁ = I₂ d) Not enough information to determine how the currents compare to each other. Select one and explain clearly! 1₁ P 1₂

In the picture to the right, two long straight wires carry currents 1₁ and 12, both pointing down along the page. At a point P, which is exactly at the midpoint between the two wires, the net magnetic field points into the screen. Based on that information, which of the following choices is correct regarding the magnitudes of the two currents? a) 1₁ > 1₂ b) 1₁ <1₂ c) I₁ = I₂ d) Not enough information to determine how the currents compare to each other. Select one and explain clearly! 1₁ P 1₂

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In the picture to the right, two long straight wires carry currents 1₁ and 12, both pointing down along the page. At a point P, which is exactly at the midpoint between the two wires, the net magnetic field points into the screen. Based on that information, which of the following choices is correct regarding the magnitudes of the two currents? a) I₁ > 1₂ b) 1₁ <1₂ c) 1₁ = 1₂ d) Not enough information to determine how the currents compare to each other. Select one and explain clearly! 1₁ P 1₂
Transcribed Image Text:In the picture to the right, two long straight wires carry currents 1₁ and 12, both pointing down along the page. At a point P, which is exactly at the midpoint between the two wires, the net magnetic field points into the screen. Based on that information, which of the following choices is correct regarding the magnitudes of the two currents? a) I₁ > 1₂ b) 1₁ <1₂ c) 1₁ = 1₂ d) Not enough information to determine how the currents compare to each other. Select one and explain clearly! 1₁ P 1₂
Expert Solution
Step 1

Given that

the current flowing through the left wire is i1=I1

the current flowing through the right wire is i2=I2

The direction of both wires is the downward

And at point P the net magnetic field is in the plane, and point P is in the middle of both wires.

So the distance from both wires to point P is the same, say r.

 

Since the magnetic due to current carrying wire at distance d is

B→=μoi2πdn^

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