Figure shows two long wires carrying equal currents $I_1$ and $I_2$ flowing in opposite directions. Which of the arrows labeled $A,B,C$ and $D$ correctly represents the direction of the magnetic field due to the wires at a point located at an equal distance $d$ from each wire?

Q. Two long parallel wires A and B separated by a distance d, carry currents $i_1$ and $i_2$ respectively in the same direction. Write the following steps in a sequential order to find the magnitude of the resultant magnetic field at a point 'P', which is between the wires and is a distance '$x$' from the wire A.
(All the physical quantities are measured in SI units)
(a) Note the given values of $i_1,i_2$, $d$ and $x$.
(b) Write the formula to find the magnetic field due to a long straight current carrying wire i.e. $B=\frac{{\mu }_{0}i}{2\pi r}$
(c) Find the directions of the magnetic field at 'P' due to two wires A and B, using right hand thumb rule.
(d) Determine the magnetic field at P due to wire A, using $B_1=\frac{{\mu }_0{i}_1}{2\pi x}$
(e) If the directions of magnetic field are same, then the resultant magnitude is equal to the sum of $B_1$ and $B_2$.
(f) Determine the magnetic field $B_2$ due to wire B at point P, ie. $B_2=\frac{{\mu }_o{i}_2}{2\pi (d-x)}$
(g) If the directions of magnetic fields are opposite to each other, then the resultant magnitude is equal to the difference of $B_1$ and $B_2$.

Q. Figure shows two long conducting wires placed at right angles. They carry current as indicated. Assume that I A current in a long wire produces magnetic field B at a distance d from the wire. The strength and direction of field at a point x marked in the figure will be

Q. Two parallel wires carrying currents $I_1$ and $I_2$ in opposite directions and separated by a distance $d$ experience a :

Q. Two long identical conducting wires $\text{AOB}$ and $\text{COD}$ are placed at right angles to each other. The wire $\text{AOB}$ carries an electric current $I_1$ and $\text{COD}$ carries a current $I_2$. Find the magnetic field at point $\text{P}$ at a distance $d$ from the intersection point $\text{O}$, in a direction perpendicular to the plane of the wires $\text{AOB}$ and $\text{COD}$ is-

Q. Figure shows two parallel wires separated by a distance of 4.0 cm and carrying equal currents of 10 A along opposite directions. Find the magnitude of the magnetic field B at the points A₁, A₂, A₃.