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Two long, straight, parallel wires are 1...

Two long, straight, parallel wires are 1.00m apart (as shown in Fig). The upper wire carries a current `I_1` of 6.00A into the plane of the paper.

What must the magnitude of the current `I_2` be for the net field at point P to be zero?

A

`3.00A`

B

`sqrt3A`

C

`2.00A`

D

`1.00A`

Text Solution

Verified by Experts

The correct Answer is:
C
(c) If the magnetic field at point P is zero, form the figure, the
current must be out of the page, in order to cancel the field from
`I_1`. Also
`B_1=B_2 implies (mu_0I_1)/(2pir_1)=(mu_0I_2)/(2pir_2)`
`I_2=I_1(r_2)/(r_1)= (6.00A) (0.500m)/(1.50m)=2.00A`
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