Magnetic Field of Straight Wires

A straight long wire is carrying current I. The ratio of magnetic field due to this wire at perpendicular distance 2 cm and 5 cm respectively from the wire is

The magnetic field at a distance 'r' from a long straight wire carrying current I is 0.4 tesla. The magnetic field at a distance 2r will be

The magnetic field at perpendicular distance '$r$' from a long wire carrying current '$I$' is '$B$'. The magnetic field at perpendicular distance '$2r$' from the same wire is

Two parallel wires of equal lengths are separated by a distance of $3$ m from each other. The currents flowing through first and second wire is $3$A and $4.5$A respectively in opposite directions. The resultant magnetic field at mid point of both the wires is ($\mu_0$ = permeability of free space)

Two long straight parallel wires are separated by a distance of $20$ cm. Each wire carries current $5$ mA in the same direction. The magnetic field at a point P midway between them is $\{\mu_0 =$ permeability of free space$\}$

Two parallel wires of equal lengths are separated by a distance of $3$ m from each other. The currents flowing through first and second wire is $3$ A and $4.5$ A respectively in opposite directions. The resultant magnetic field at mid point of both the wires is ($\mu_0$=permeability of free space)

A current of 30 A each flows in opposite directions in two conducting wires, placed parallel to each other at a distance of 8 cm. The magnetic field at the mid point between the two wires is $\underline{\hspace{3em}}\ \mu\text{T} \cdot \left(\frac{\mu_0}{4\pi} = 10^{-7}\text{ N/A}^2\right)$

Two parallel long wires carry currents $i_1$ and $i_2$ with $i_1 > i_2$. When the currents are in the same direction, the magnetic field at a point midway between the wires is $10\ \mu$T. If the direction of $i_2$ is reversed then the field becomes $30\ \mu$T. The ratio $\frac{i_1}{i_2}$

Two long parallel wires carrying currents $8$A and $15$A in opposite directions are placed at a distance of $7$ cm from each other. A point P is at equidistant from both the wires such that the lines joining the point P to the wires are perpendicular to each other. The magnetic field at P is ___ $\times 10^{-6}$ T. (Given: $\sqrt{2} = 1.4,\ \mu_0 = 4\pi \times 10^{-7}$ SI unit)

In the following figure, the magnitude of the magnetic field at point 'O' will be

The magnitude of magnetic induction at mid point 'O' due to current arrangement as shown in figure will be ($\mu_0$ = permeability of free space)

Two identical long current carrying wires are bent into the shapes shown in the following figures. If the magnitude of magnetic fields at the centres P and Q of a semicircular arc are $B_1$ and $B_2$ respectively, then the ratio $\frac{B_1}{B_2}$ is ______.

An infinitely long straight wire carrying current $I$ is bent in a planar shape as shown in the diagram. The radius of the circular part is $r$. The magnetic field at the centre $O$ of the circular loop is:

The current passing through a conducting loop in the form of equilateral triangle of side $4\sqrt{3}\text{ cm}$ is 2 A. The magnetic field at its centroid is $\alpha \times 10^{-5}\text{ T}$. The value of $\alpha$ is ______.

(Given: $\mu_0 = 4\pi \times 10^{-7}$ SI units)

Two long parallel wires carry currents $I_1$ and $I_2\ (I_1 > I_2)$. When currents are flowing in the same direction, the magnetic field at a point midway between the wires is $6 \times 10^{-6}\text{ T}$. If the direction of $I_2$ is reversed the field at midpoint becomes $3 \times 10^{-5}\text{ T}$. The ratio $I_1 : I_2$ is

Two very long straight conductors (wires) are set parallel to each other. Each carries a current ' I ' in the same direction and the separation between them is ' 2 r '. The intensity of the magnetic field at point ' P ' (as shown in the figure) ( $\mu_0 =$ permeability of free space) is

Two identical long parallel wires carry currents ' $I_1$ ' and ' $I_2$ ' such that $I_1 > I_2$. When the currents are in the same direction, the magnetic field at a point midway between the wires is $8 \times 10^{-6}\text{ T}$. If the direction of $I_2$ is reversed, the field becomes $3.2 \times 10^{-5}\text{ T}$. The ratio of $I_2$ to $I_1$ is

Two long parallel wires carrying currents 4 A and 3 A in opposite directions are placed at a distance of 5 cm from each other. A point P is at equidistance from both the wires such that the line joining the point P to the wires are perpendicular to each other. The magnitude of magnetic field at point $P$ is ( $\mu_0 =$ permeability of free space $= 4\pi \times 10^{-7}$ SI unit)

Two long parallel wires $X$ and $Y$, separated by a distance of 6 cm, carry currents of 5 A and 4A, respectively, in opposite directions as shown in the figure. Magnitude of the resultant magnetic field at point P at a distance of 4 cm from wire Y is $x \times 10^{-5}\text{ T}$. The value of $x$ is _________. Take permeability of free space as $\mu_0 = 4\pi \times 10^{-7}$ SI units.

An infinitely long straight conductor carrying current ' $I$ ' is bent into a shape as shown in figure. The radius of the circular loop is ' $r$ '. The magnetic induction at the centre of the loop at point ' O ' is ( $\mu_0 =$ permeability of free space)

In the following figure magnitude of the magnetic field at the point $p$ is

A current ' I ' is flowing in a conductor PQRST as shown in figure. The radius of curved path QRS is ' R ' and length of straight portion PQ and ST is very large. The magnetic field at the centre $[\text{O}]$ of the curved part is ( $\mu_0 =$ permeability of free space)

A wire has three different sections as shown in figure. The magnitude of the magnetic field produced at the centre ' $O$ ' of the semicircle by three sections together is ( $\mu_0 =$ permeability of free space)

An infinite wire has a circular bend of radius a, and carrying a current I as shown in the figure. The magnitude of magnetic field at the origin O of the arc is given by:

Figure shows a current carrying square loop ABCD of edge length ‘a’ lying in a plane. If the resistance of the ABC part is r and that of ADC part is 2r, then the magnitude of the resultant magnetic field at centre of the square loop is

A current of 5 A exists in a square loop of side $\frac{1}{\sqrt{2}}\text{ m}$. Then the magnitude of the magnetic field $B$ at the centre of the square loop will be $p \times 10^{-6}\text{ T}$. where, value of p is ________ $[$ Take $\mu_0 = 4\pi \times 10^{-7}\text{ T mA}^{-1}$ ].

The strength of magnetic field at a perpendicular distance ' $x$ ' near a long straight conductor carrying current ' I ' is ' B '. The magnetic field at a distance $\frac{x}{3}$ from straight conductor will be

Two long straight parallel wires are separated by a distance '2d'. Each wire carries a current 'I' in the same direction. The magnetic field at a point 'P' midway between them is

Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the wires is $5.0\text{ cm}$. The magnitude of the magnetic field at a point $\text{P}$ midway between the wires is _______ $\mu\text{T}$

(Given: $\mu_0 = 4\pi \times 10^{-7}\text{ TmA}^{-1}$)

Two parallel long current carrying wires separated by a distance $2r$ are shown in the figure. The ratio of magnetic field at $A$ to the magnetic field produced at $C$ is $\frac{x}{7}$. The value of $x$ is __________.

An infinitely long straight conductor carrying current 'I' is bent in a shape as shown in figure. The radius of the circular part of loop is 'r'. The magnetic induction at the centre 'C' is ($\mu =$ permeability of free space)

A current carrying circular loop of radius ' $R$ ' and current carrying long straight wire are placed in the same plane. The current through circular loop and long straight wire are ' $I_c$ ' and ' $I_w$ ' respectively. The perpendicular distance between centre of the circular loop and wire is ' d '. The magnetic field at the centre of the loop will be zero when separation ' $d$ ' is equal to

The magnitude of magnetic field at point 'O' in the following figure will be

A current carrying circular loop of radius ' $R$ ' and current carrying long straight wire are placed in the same plane. $I_c$ and $I_w$ are the currents through circular loop and long straight wire respectively. The perpendicular distance between centre of the circular loop and wire is ' d '. The magnetic field at the centre of the loop will be zero when separation ' $d$ ' is equal to

A regular polygon of 6 sides is formed by bending a wire of length $4\pi$ meter.

If an electric current of $4\pi\sqrt{3}$ A is flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be $x \times 10^{-7}\text{ T}$.

The value of $x$ is _________.

A current of $5\text{ A}$ flows in a square loop of side $1\text{ m}$ placed in air. The magnetic field at the centre of the loop is $X\sqrt{2} \times 10^{-7}\text{ T}$. The value of $X$ is _________.

The magnetic field at a point $P$ situated at perpendicular distance '$R$' from a long straight wire carrying a current of $12\text{ A}$ is $3 \times 10^{-5}\text{ Wb/m}^2$. The value of '$R$' in $\text{mm}$ is $\left[\mu_0 = 4\pi \times 10^{-7}\text{ Wb/Am}\right]$

Two parallel wires of equal lengths are separated by a distance of $3\text{ m}$ from each other. The currents flowing through $1$st and $2$nd wire is $3\text{ A}$ and 4.5 A respectively in opposite directions. The resultant magnetic field at mid point between the wires $(\mu_0 =$ permeability of free space)

Two long parallel wires carrying currents $8\text{ A}$ and $15\text{ A}$ in opposite directions are placed at a distance of $7\text{ cm}$ from each other. A point '$\text{P}$' is at equidistant from both the wires such that the lines joining the point to the wires are perpendicular to each other. The magnitude of magnetic field at point '$\text{P}$' is $(\sqrt{2} = 1.4)(\mu_0 = 4\pi \times 10^{-7}$ SI units)

Two long parallel wires carrying currents 8A and 15A in opposite directions are placed at a distance of 7 cm from each other. A point P is equidistant from both the wires such that the lines joining the point P to the wires are perpendicular to each other. The magnitude of magnetic field at P is _____________ $\times 10^{-6}$ T.

(Given: $\sqrt{2} = 1.4$)

A very long conducting wire is bent in a semi-circular shape from $A$ to $B$ as shown in figure. The magnetic field at point $P$ for steady current configuration is given by:

As shown in the figure, a long straight conductor with semicircular arc of radius $\frac{\pi}{10}$ m is carrying current $I = 3\text{ A}$. The magnitude of the magnetic field, at the center O of the arc is: (The permeability of the vacuum $= 4\pi \times 10^{-7}\text{ NA}^{-2}$)

Find the magnetic field at the point $\text{P}$ in figure. The curved portion is a semicircle connected to two long straight wires.

The magnitude of magnetic induction at mid point $\text{O}$ due to current arrangement as shown in Fig will be

Match List I with List II

Choose the correct answer from the options given below:

As shown in the figure, a current of $2\text{ A}$ flowing in an equilateral triangle of side $4\sqrt{3}\text{ cm}$. The magnetic field at the centroid $\text{O}$ of the triangle is

(Neglect the effect of earth's magnetic field)

Two parallel conducting wires of equal length are placed distance 'd' apart, carry currents '$I_1$ ' and '$I_2$' respectively in opposite directions. The resultant magnetic field at the midpoint of the distance between both the wires is

Two long current carrying conductors are placed parallel to each other at a distance of 8 cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is 300 $\mu$T. The equal current flowing in the two conductors is:

In the following loop, magnitude of the magnetic field produced at the centre (O) of the loop is: (Assume AB and CD are infinitely extended):

A straight wire of diameter $0.4\text{ mm}$ carrying a current of $2\text{ A}$ is replaced by another wire of 0.8 $\text{mm}$ diameter carrying the same current. The magnetic field at distance $(R)$ from both the wires is 'B$1$' and 'B$2$' respectively. The relation between B$1$ and B$2$ is

There are two infinitely long straight current carrying conductors and they are held at right angles to each other so that their common ends meet at the origin as shown in the figure given below. The ratio of current in both conductor is 1: 1. The magnetic field at point P is ____________.

A hairpin like shape as shown in figure is made by bending a long current carrying wire. What is the magnitude of a magnetic field at point P which lies on the centre of the semicircle?

A current of 1.5 A is flowing through a triangle, of side 9 cm each. The magnetic field at the centroid of the triangle is:

(Assume that the current is flowing in the clockwise direction.)

A circular coil of radius $R$ is carrying a current $I_1$ in anti-clockwise sense. A long straight wire is carrying current $I_2$ in the negative direction of $X$-axis. Both are placed in the same plane and the distance between centre of coil and straight wire is $d$. The magnetic field at the centre of coil will be zero for the value of $d$ equal to

A very long wire ABDMNDC is shown in figure carrying current I. AB and BC parts are straight, long and at right angle. At D wire forms a circular turn DMND of radius R. AB, BC parts are tangential to circular turn at N and D. Magnetic field at the centre of circle is:

Magnitude of magnetic field (in SI units) at the centre of a hexagonal shape coil of side 10 cm, 50 turns and carrying current I (Ampere) in units of $\frac{\mu_0 I}{\pi}$ is:

Figure show the circular coil carrying current $I$ kept very close but not touching at a point $A$ on a straight conductor carrying the same current $I$. The magnitude of magnetic induction at the centre of the circular coil will be

Two very long, straight, and insulated wires are kept at 90° angle from each other in xy-plane as shown in the figure. These wires carry currents of equal magnitude I, whose directions are shown in the figure. The net magnetic field at point P will be:

Find the magnetic field at point P due to a straight line segment AB of length 6 cm carrying a current of 5A. (See figure) ($\mu$0 = 4$\pi$ × 10–7 N-A–2)

The magnitude of the magnetic field at the centre of an equilateral triangular loop of side 1 m which is carrying a current of 10 A is:

[Take $\mu$0 = 4$\pi$ × 10–7 NA–2]

As shown in the figure, two infinitely long, identical wires are bent by 90° and placed in such a way that the segments LP and QM are along the x-axis, while segments PS and QN are parallel to the y- axis. If OP = OQ = 4cm, and the magnitude of the magnetic field at O is 10–4 T, and the two wires carry equal currents (see figure), the magnitude of the current in each wire and the direction of the magnetic field at O will be ($\mu$0 = 4$\pi \times$ 10–7 NA–2):

A current of 1 A is flowing on the sides of an equilateral triangle of side 4.5 $\times$ 10-2 m. The magnetic field at the center of the triangle will be:

Two identical wires $A$ and $B,$ each of length $\text{'}l\text{'}$, carry the same current $I$. Wire $A$ is bent into a circle of radius $R$ and wire $B$ is bent to form a square of side $\text{'}a\text{'}$. If $B_A$ and $B_B$ are the values of magnetic fields at the centres of the circle and square respectively, then the ratio $\frac{B_A}{B_B}$ is:

A wire carrying current $I$ has the shape shown in adjoining figure.

Linear parts of the wire are very long and parallel to X-axis while semicircular protion of radius R is lying in Y-Z plane. Magtnetic field at pont $O$ is

Two identical long conducting wires $AOB$ and $COD$ are placed at right angle to each other, with one above other such that $O$ is their common point for the two. The wires carry $I$1 and $I$2 currents, respectively. Point $P$ is lying at distance f from $O$ along a direction perpendicular to the plane containing the wires. The magnetic field at the point $P$ will be

A current $i$ is flowing in a straight conductor of length $L$. The magnetic induction at a point on its axis at a distance $\frac{L}{4}$ from its centre will be:

Two long parallel wires are at a distance $2d$ apart. They carry steady equal currents flowing out of the plane of the paper as shown. The variation of the magnetic field $B$ along the line $XX'$ is given by

A horizontal overhead powerline is at height of $4\text{ m}$ from the ground and carries a current of $100\text{ A}$ from east to west. The magnetic field directly below it on the ground is

$\left(\mu_0 = 4\pi \times 10^{-7}\text{ T m A}^{-1}\right)$

Two identical conducting wires $AOB$ and $COD$ are placed at right angles to each other. The wire $AOB$ carries an electric current $I_1$ and $COD$ carries a current $I_2$. The magnetic field on a point lying at a distance $d$ from $O$, in a direction perpendicular to the plane of the wires $AOB$ and $COD$, will be given by