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Magnetic Flux - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Magnetic flux is considered one of the most asked concept.

  • 19 Questions around this concept.

Solve by difficulty

In figure there is a ring of area $A=10 \mathrm{~m}^2$ is kept in a constant magnetic field B of intensity 1 Tesla
What will be net flux through the surface

A square loop of side 4 cm is lying on a horizontal table. A uniform magnetic field of 0.5 T is directed towards at an angle of 60° to the vertical as shown in figure. If the field
increases from zero to its final value in 0.2s, the e.m.f. induced in the loop will be 
                              

 

A small loop of the area of the cross section 10^{-4} \mathrm{~m}^2 is lying concentrically and coplanar inside a bigger loop of radius 0.628 m. A current of 10 A is passed in the bigger loop. The smaller loop is rotated about its diameter with an angular velocity \omega. The magnetic flux linked with the small loop will be :

A series combination of an inductance (L) and a resistance (R) is connected to a battery of emf E. The final value of current depends on

Two concentric coplanar circular loops 1 and 2 are shown in the Fig 19. The radii of the loops are r and R. Current I flows in the loop
1. Find the magnetic flux \Phi_2 through the loop 2 if r << R

Two coils A and B are separated by a certain distance. If a current of 4 A flows through A, a magnetic flux of \mathrm{10^{-3}} Wb passes through B (no current through B). If no current passes through A and a current of 2A passes through B, then the flux through A is:

The magnetic flux linked with a coil of N turns of area of cross-section A held with its plane parallel to the field B is:

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A circular disc of radius 0.2 m is placed in a uniform magnetic field of induction \mathrm {\mathrm{n}\left(\frac{1}{\pi}\right)Wbm^{-2}} in such a way that its axis makes an angle of 60° with B. The magnetic flux linked with the disc is:

A uniform but time varying magnetic field is present in a circular region of radius R. The magnetic field is perpendicular and into the plane of the loop and the magnitude of field is increasing at a constant rate \mathrm{\alpha } . There is a straight conducting rod of length 2R placed as shown in figure. The magnitude of induced emf across the rod is:

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Concepts Covered - 1

Magnetic flux

Magnetic flux-

The total number of magnetic lines of force passing normally through an area placed in a magnetic field is equal to
the magnetic flux linked with that area.

I.e for the below figure

Net magnetic flux through the surface is given by

$
\phi_B=\oint \vec{B} \cdot \overrightarrow{d A}=B A \cos \Theta
$

where
$\phi_B=$ Magnetic Flux
$B=$ Magnetic field
$\Theta=$ The angle between area vector and magnetic field vector

        

  • Magnetic flux is a scalar quantity.
  • Unit of magnetic flux -

It's S.I. unit is Weber (wb) or Tesla $\times m^2$ and its C.G.S. unit is maxwell(Mx). and $1 w b=1 \mathrm{Tm}^2$ and $1 M x=10^{-8} w b$

  • The dimension of magnetic flux is $M L^2 T^{-2} A^{-1}$
  • if $\theta=0$ then $\phi=B A$ and Flux will be positive.
  • If $\theta=\frac{\pi}{2}$ then Flux will be zero (i.e $\phi=0$ )

            

 

 

 

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Magnetic flux

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