Two long parallel conductors are placed at right angles to a metre scale at the 2cm and 6cm marks as shown in the figure They carry currents of 1A and 3A respectively. They will produce zero magnetic field at (ignore earth's magnetic field)

Question

Two long parallel conductors are placed at right angles to a metre scale at the 2cm and 6cm marks as shown in the figure <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-n7ehqlt5yapw6dnk.jpg" /> They carry currents of 1A and 3A respectively. They will produce zero magnetic field at (ignore earth's magnetic field) (A) 5 cmmark (B) 3 cmmark (C) 1 cmmark (D) 8 cmmark

Tardigrade Admin · Accepted Answer

Here, x is the distance from the 2 textcm mark. ((μ )o I1/2 π x)=((μ )o I2/2 π (. 4 - x .)) (. 4 - x .)× 1=x× 3 4-x=3x 4=4x⇒ x=1

Q. Two long parallel conductors are placed at right angles to a metre scale at the $2 c m$ and $6 c m$ marks as shown in the figure

They carry currents of $1 A$ and $3 A$ respectively. They will produce zero magnetic field at (ignore earth's magnetic field)

$5 c mma r k$

$3 c mma r k$

$1 c mma r k$

$8 c mma r k$

Here, $x$ is the distance from the $2 cm$ mark.
$\frac{( μ ) _{o} I _{1}}{2 π x} = \frac{( μ ) _{o} I _{2}}{2 π ( 4 - x )} (4 - x) \times 1 = x \times 3 4 - x = 3 x 4 = 4 x \Rightarrow x = 1$

Q. Two long parallel conductors are placed at right angles to a metre scale at the 2cm and 6cm marks as shown in the figure They carry currents of 1A and 3A respectively. They will produce zero magnetic field at (ignore earth's magnetic field)

5cmmark

3cmmark

1cmmark

8cmmark