Two long straight conductors with current I1 and I2 are placed along X and Y axes. The equation of locus of point of zero magnetic induction is -

Question

Two long straight conductors with current I1 and I2 are placed along X and Y axes. The equation of locus of point of zero magnetic induction is - <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-yn1d8uh5yjwe.png" /> (A) y=x (B) y=(I2/I1)x (C) y=(I1/I2)x (D) y=(x/I1 I2)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-yn1d8uh5wmna.png" /> BP=0 B1- B2=0 ⇒ B1=B2 (μ 0 I1/2 π y)=(μ 0/2 π )(I2/x )∴ boxedy = (I1/I2 ) x

Q. Two long straight conductors with current $I_{1}$ and $I_{2}$ are placed along $X$ and $Y$ axes. The equation of locus of point of zero magnetic induction is -

$y = x$

$y = \frac{I _{2}}{I _{1}} x$

$y = \frac{I _{1}}{I _{2}} x$

$y = \frac{x}{I _{1} I _{2}}$

$B_{P} = 0$
$B_{1} - B_{2} = 0$
$\Rightarrow$ $B_{1} = B_{2}$
$\frac{μ _{0} I _{1}}{2 π y} = \frac{μ _{0}}{2 π} \frac{I _{2}}{x} ∴ y = \frac{I _{1}}{I _{2}} x$

Q. Two long straight conductors with current I1​ and I2​ are placed along X and Y axes. The equation of locus of point of zero magnetic induction is -

y=x

y=I1​I2​​x

y=I2​I1​​x

y=I1​I2​x​