The net magnetic flux through any closed surface, kept in uniform magnetic field is:

1. zero 2. \(\dfrac{\mu_{0}}{4 \pi}\)
3. \(4\pi μ_{0}\) 4. \(\dfrac{4\mu_{0}}{\pi}\)
Subtopic:  Magnetic Flux |
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A circular disc of radius \(0.2\) m is placed in a uniform magnetic field of induction \(\frac{1}{\pi} \left(\frac{\text{Wb}}{\text{m}^{2}}\right)\) in such a way that its axis makes an angle of \(60^{\circ}\) with \(\vec {B}.\) The magnetic flux linked to the disc will be:

1. \(0.02\) Wb 2. \(0.06\) Wb
3. \(0.08\) Wb 4. \(0.01\) Wb
Subtopic:  Magnetic Flux |
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NEET - 2008
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If a current is passed through a circular loop of radius \(R\) then magnetic flux through a coplanar square loop of side \(l\) as shown in the figure \((l<<R)\) is:

          

1. \(\frac{\mu_{0} l}{2} \frac{R^{2}}{l}\) 2. \(\frac{\mu_{0} I l^{2}}{2 R}\)
3. \(\frac{\mu_{0} l \pi R^{2}}{2 l}\) 4. \(\frac{\mu_{0} \pi R^{2} I}{l}\)
Subtopic:  Magnetic Flux |
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The radius of a loop as shown in the figure is \(10~\text{cm}.\) If the magnetic field is uniform and has a value \(10^{-2}~ \text{T},\) then the flux through the loop will be:
            

1. \(2 \pi \times 10^{-2}~\text{Wb}\) 2. \(3 \pi \times 10^{-4}~\text{Wb}\)
3. \(5 \pi \times 10^{-5}~\text{Wb}\) 4. \(5 \pi \times 10^{-4}~\text{Wb}\)
Subtopic:  Magnetic Flux |
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A square of side \(L\) meters lies in the \(XY\text-\)plane in a region where the magnetic field is given by \(\vec{B}=B_{0}\left ( 2\hat{i} +3\hat{j}+4\hat{k}\right )\text{T}\) where \(B_{0}\) is constant. The magnitude of flux passing through the square will be:
1. \(2 B_{0} L^{2}~\text{Wb}\)
2. \(3 B_{0} L^{2}~\text{Wb}\)
3. \(4 B_{0} L^{2}~\text{Wb}\)
4. \(\sqrt{29} B_{0} L^{2}~\text{Wb}\)

Subtopic:  Magnetic Flux |
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What is the dimensional formula of magnetic flux?
1. \(\left[ M L^2 T^{-2}A^{-1}\right]\)
2. \(\left[ M L^1 T^{-1}A^{-2}\right]\)
3. \(\left[ M L^2 T^{-3}A^{-1}\right]\)
4. \(\left[ M L^{-2} T^{-2}A^{-2}\right]\)

Subtopic:  Magnetic Flux |
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A square loop of side \(1~\text m\) and resistance \(1~\Omega\) is placed in a magnetic field of \(0.5~\text T.\) If the plane of the loop is perpendicular to the direction of the magnetic field, the magnetic flux through the loop is:
1. \(0\) 2. \(2\) weber
3. \(0.5\) weber 4. \(1\) weber
Subtopic:  Magnetic Flux |
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From NCERT
NEET - 2022
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A circular loop of radius \(R\) carrying current \(i\) lies in the \(x\text-y\) plane. If the centre of the loop coincides with the origin, then the total magnetic flux passing through the \(x\text-y\) plane will be:
1.  directly proportional to \(i\).
2.  directly proportional to \(R\).
3.  directly proportional to \(R^2\).
4.  Zero.
Subtopic:  Magnetic Flux |
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The magnetic flux linked with a coil varies with time as \(\phi = 2t^2-6t+5,\) where \(\phi \) is in Weber and \(t\) is in seconds. The induced current is zero at:

1. \(t=0\) 2. \(t= 1.5~\text{s}\)
3. \(t=3~\text{s}\) 4. \(t=5~\text{s}\)
Subtopic:  Faraday's Law & Lenz Law |
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A coil having number of turns \(N\) and cross-sectional area \(A\) is rotated in a uniform magnetic field \(B\) with an angular velocity \(\omega\). The maximum value of the emf induced in it is:
1. \(\frac{NBA}{\omega}\)
2. \(NBAω\)
3. \(\frac{NBA}{\omega^{2}}\)
4. \(NBAω^{2}\)

Subtopic:  Faraday's Law & Lenz Law |
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