In the adjacent figure is shown a closed path A.A long straight conductor carrying a current I passes through O and perpendicular to the plane of the paper. Then which of the following holds good ?

\int_{p} \to B . \to d l = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\int_{p} \to B . \to d l = μ_{0} I

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\int_{p} \to B . \to d l > μ_{0} I

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $\int_{p} \to B . \to d l = μ_{0} I$
$S o l u t i o n :$
A long straight conductor carrying current $I$ passes through 0 , then by
symmetry, all points of the circular path are equivalent and hence the magnitude of magentic field should be same at these points, The circulation of magnetic field along the circle is $\oint \to B . \to d l = μ_{0} I$ (using Amperes law)
$S o, t h e$ $c o r r e c t$ $o p t i o n : B$

Suggest Corrections

Similar questions

Q. An infinite V-shaped wire carrying current I is shown in the adjacent figure. Find the magnitude of magnetic field at point P due to the wire if AP = r.

Q. Three long straight conductors are kept perpendicular to the plane of paper. Currents

2 A

3 A

are passing through the two conductors into the plane of paper in first two conductors and

5 A

current passes through third conductor, directed out of the paper. A closed loop encloses the conductors, then the value of

\int \to B . d \to l

over the closed loop is (assume current into the paper as negative and out of the paper as positive)

Q. In the figure shown there are two semicircles of radii

r_{1}

and

r_{2}

in which a current I is flowing. The magnetic induction at the centre O will be:

A long cylindrical conductor of radius 'a' has two cylindrical cavities each of diameter 'a' through its entire length as shown in the figure. A current I is directed out of the page and is uniform throughout the cross-section of the conductor. The magnetic field at point $P_{1}$ is

In the figure shown there are two semicircles of radii $r_{1}$ and $r_{2}$ in which a current i is flowing. The magnetic induction at the centre O will be

Join BYJU'S Learning Program