A long straight conductor $X$, carrying a current of $2 \mathrm{A}$, is placed parallel to a short straight conductor $Y$ of length $2 \mathrm{cm}$, carrying a current of $3 \mathrm{A}$. The two conductors are $10 \mathrm{cm}$ apart in air. The magnetic induction due to $X$ at $Y$ is $({\mu }_0=4\pi \times {10}^{-7} \mathrm{wb} {\mathrm{A}}^{-1} {\mathrm{m}}^{-1})$,

Equal currents $\mathrm{I}$ and $\mathrm{I}$ are flowing through two infinitely-long parallel wires. What will be the magnetic field at a point mid-way between them, when the currents are in same direction,

Equal currents $\mathrm{I}$ and $\mathrm{I}$ are flowing through two infinitely-long parallel wires. What will be the magnetic field at a point mid-way between them, when the currents are in opposite directions ?

Two infinitely long insulated wires are kept perpendicular to each other. They carry currents $I_{\mathit{1}}\mathit{ }\mathit{=}\mathit{ }\mathit{2}A$ and ${\mathrm{I}}_2 = 1.5\mathrm{A}$ .

(i) Find the magnitude and direction of the magnetic field at $\mathrm{p}$.

Two infinitely long insulated wires are kept perpendicular to each other. They carry currents${\mathrm{I}}_1 = 2\mathrm{A}$ and${\mathrm{I}}_2 = 1.5\mathrm{A}$. If the direction of current be reversed in one of the wires, what would be the magnitude of the field?