-Part A Constants At what point on the x-axis is the magnetic field zero if the

Question

-Part A Constants At what point on the x-axis is the magnetic field zero if the two currents are in the same direction? A long wire carrying a 4.0 A current perpendicular to the xy-plane intersects the x-axis at x-_ 2.0 cm. A second, parallel wire carrying a 3.0 A current intersects the x-axis at 2.0 cm Submit Previous Answers Request Answer Incorrect; Try Again; 4 attempts remaining Part B At what point on the x-axis is the magnetic field zero if the two currents are in opposite directions? cm Submit Previous Answers Reques t Answe X Incorrect: Try Again; 5 attempts remaining

Explanation / Answer

Magnetic field due to long straight wire is given by

B=uoI/2pir

a)

In same direction ,given

B=B1+B2=0

=>I1/(0.02-x) =I2/(0.02+x)

3/(0.02-x) =4/(0.02+x)

0.06+3x=0.08-4x

x=0.2857 cm

b)

In opposite directions

I1/(x-0.02) =I2/(x+0.02)

3/(x-0.02) =4/(x+0.02)

3x+0.06 =4x-0.08

x=0.14 m =14 cm

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