Download App

STD 12 - 4. Moving charges and magnetism — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 4. Moving charges and magnetism4 Marks
MCQ
Two mutually perpendicular insulated conducting wires carrying equal currents $I$, intersect at origin. Then the resultant magnetic induction at point $P(2m, 3m)$ will be
  • A
    $\frac{{{\mu _0}I}}{{5a}}$
  • B
    $\frac{{5{\mu _0}I}}{{2\pi }}$
  • ✓
    $\frac{{{\mu _0}I}}{{12\pi }}$
  • D
    zero
✓

Answer

Correct option: C.
$\frac{{{\mu _0}I}}{{12\pi }}$
c
We know that, magnetic field due to an infinite wire is given by,

$B_{\text {net }}=\frac{\mu_0 I}{2 \pi(d)}$

Due to long wire along $x$ - axis,

magnetic field at $P$ is $B_x=\frac{\mu_0 I}{2 \pi(3)} \odot$

Due to long wire along $y$-axis,

magnetic field at $P$ is $B_y=\frac{\mu_0 I}{2 \pi(2)} \otimes$

Net magnetic field at $P$ is $B_{\text {net }}=B_y-B_x$

$B_{\text {net }}=\frac{\mu_0 I}{2 \pi(2)}-\frac{\mu_0 l}{2 \pi(3)}$

$\Rightarrow B_{\text {net }}=\frac{\mu_0 I}{12 \pi} \otimes$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

$Assertion :$ The velocity of flow of a liquid is smaller when pressure is larger and vice-versa.
$Reason :$ According to Bernoulli’s theorem, for the stream line flow of an ideal liquid, the total energy per unit mass remains constant.
→
$A$ solid uniform disk of mass $m$ rolls without slipping down a fixed inclined plane with an acceleration $a$. The frictional force on the disk due to surface of the plane is :
→
Moment of inertia of a dise of mass $M$ and radius ' $R$ ' about any of its diameter is $\frac{ MR ^2}{4}$. The moment of inertia of this disc about an axis normal to the disc and passing through a point on its edge will be, $\frac{ x }{2} MR ^2$. The value of $x$ is $..........$.
→
To induce an $e.m.f$. in a coil, the linking magnetic flux
→
A thermodynamic system is taken through the cycle $ABCD$ as shown in figure. Heat rejected by the gas during the cycle is 
→
The momentum of the photon of wavelength $5000\,\mathring A$ will be
→
The equation of a progressive wave is $y = 8\sin \left[ {\pi \left( {\frac{t}{{10}} - \frac{x}{4}} \right) + \frac{\pi }{3}} \right]$. The wavelength of the wave is .... $m$
→
A beam of monochromatic light is used to excite the electron in $Li ^{++}$from the first orbit to the third orbit. The wavelength of monochromatic light is found to be $x \times 10^{-10} \; m$. The value of $x$ is $\dots.$ [Given hc $=1242 \; eV nm ]$
→
The acceleration of a particle performing S.H.M. is at a distance of $3\; cm$ from the mean position is $ 12\,cm/sec^2 $. Its time period is ..... $\sec$
→
A body covers a distance of $2\,m$ under the influence of a force $F = 15 -4x$ $newton$ , where $x$ is the distance covered by the particle in metre. The work done by the force is ............ $\mathrm{J}$
→