Magnetic Field due to a Straight Current Carrying Wire

In given figure, X and Y are two long straight parallel conductors each carrying a current of 2 A. The force on each conductor is F newtons. When the current in each is changed to 1 A and reversed in direction, the force on each is now

Two very long straight parallel wires, parallel to $y$-axis, carry currents $4I$ and $I$, along $+y$-direction and $-y$-direction, respectively. The wires pass through the $x$-axis at the points $(d, 0, 0)$ and $(-d, 0, 0)$ respectively. The graph of magnetic field $z$-component as one moves along the $x$-axis from $x=-d$ to $x=+d$, is best given by

Equal current i is flowing in three infinitely long wires along positive x, y and z directions. The magnitude field at a point (0, 0, -a) would be:

Find the magnetic field at $P$ due to the arrangement shown.

Two mutually perpendicular conductors carrying currents $I_1 \text{and} I_2$ respectively, lie in one plane. Locus of the point at which the magnetic induction is zero, is a:

An infinitely long conductor $PQR$ is bent to form a right angle as shown. A current $I$ flows through $PQR$. The magnetic field due to this current at the point $M$ is ${\mathit{\text{H}}}_1$. Now, another infinitely long straight conductor $QS$ is connected at $Q$ so that the current in $PQ$ remaining unchanged. The magnetic field at $M$ is now ${\mathit{\text{H}}}_2$. The ratio $\frac{H_1}{H_2}$ is,

A conductor wire carrying current $i$is placed symmetrically and parallel to a long conducting sheet having a current per unit width $j_0$ and width $d$, as shown in the figure. the force per unit length on the conductor wire will be

Find the magnetic field at the centre P of square of side a shown in figure.

Figure shows a straight wire of length/carrying a current i. Find the magnitude of magnetic field produced by the current at point P.

 

Which of the following expressions correctly describes for the force between two long parallel current carrying conductors:

Which one of the following options represents the magnetic field $\overrightarrow{B}$ at $O$ due to the current flowing in the given wire segments lying on the $xy$ plane?

A current of $45 \mathrm{A}$ is passing through an infinitely long wire which lies along the axis of an infinitely long solenoid of radius $1 \mathrm{cm}$. The magnetic field produced by the solenoid in the direction of the current in the wire is $4\mathrm{mT}$. What is the approximate magnitude of the resultant magnetic field at a point $3 \mathrm{mm}$ radially away from the solenoid acis? (Use ${\mu }_0=4\pi \times {10}^{-7} \mathrm{T} \mathrm{m}/\mathrm{A}$ )

A rectangular loop carrying a current $i$ is situated near a long straight wire such that the wire is parallel to one of the sides of the loop and is in the plane of the loop. If the steady current $i$ is established in the wire as shown in the figure, the loop will

Wires $1$ and $2$ carrying currents $i_1$ and $i_2$, respectively, are inclined at an angle $\mathrm{\theta }$ to each other. What is the force on a small element $dl$ of wire $2$ at distance $r$ from wire $1$ (as shown in the figure) due to the magnetic field of wire $1$?

A very long thin strip of metal of width $b$ carries a current $I$ along its length as shown in figure

Find the magnitude of magnetic field in the plane of the strip at a distance $a$ from the edge nearest to the point.

The force between two parallel current carrying conductors separated by a distance $x$ is $F$. If the current in each conductor is doubled and the distance between them is halved, then the force between them becomes-

A current of $1 \mathrm{A}$ passes through two very long wires held parallel to each-other and separated by a distance of $1 \mathrm{m}$. The force per unit length between them is $x\times {10}^{-7} \mathrm{N}/\mathrm{m}$. Find the value of $x$.

A current of $10 \mathrm{A}$ passes through two very long wires held parallel to each-other and separated by a distance of $1 \mathrm{m}$. The force per unit length between them is $x\times {10}^{-5} \mathrm{N}/\mathrm{m}$. Find the value of $x$.

What are the rules that are used to find the direction of the magnetic field?