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

1. Zero

2. $\frac{{\mu }_{0}}{4\mathrm{\pi }}$

3. $4{\mathrm{\pi \mu }}_{0}$

4. $\frac{4{\mu }_{0}}{\mathrm{\pi }}$

Subtopic:  Magnetic Flux |
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From NCERT
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A circular disc of radius 0.2 m is placed in a uniform magnetic field of induction $\frac{1}{\pi }$ $\left(\frac{Wb}{{m}^{2}}\right)$ in such a way that its axis makes an angle of ${60}^{°}$ with $\stackrel{\to }{B}$. 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 |
85%
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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. $\frac{{\mu }_{0}I{l}^{2}}{2R}$

3. $\frac{{\mu }_{0}l{\mathrm{\pi R}}^{2}}{2l}$

4. $\frac{{\mu }_{0}{\mathrm{\pi R}}^{2}I}{l}$

Subtopic:  Magnetic Flux |
82%
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The radius of a loop as shown in the figure is $$10~\mathrm {cm}.$$ If the magnetic field is uniform and has a value $$10^{-2}~ T,$$ then the flux through the loop will be:

 1 $$2 \pi \times 10^{-2}Wb$$ 2 $$3 \pi \times 10^{-4}Wb$$ 3 $$5 \pi \times 10^{-5}Wb$$ 4 $$5 \pi \times 10^{-4}Wb$$
Subtopic:  Magnetic Flux |
76%
From NCERT
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What is the dimensional formula of magnetic flux?

1. $\left[\mathrm{M}$ ${\mathrm{L}}^{2}$ ${\mathrm{T}}^{-2}$ ${\mathrm{A}}^{-1}\right]$

2. $\left[\mathrm{M}$ ${\mathrm{L}}^{1}$ ${\mathrm{T}}^{-1}$ ${\mathrm{A}}^{-2}\right]$

3. $\left[\mathrm{M}$ ${\mathrm{L}}^{2}$ ${\mathrm{T}}^{-3}$ ${\mathrm{A}}^{-1}\right]$

4. $\left[\mathrm{M}$ ${\mathrm{L}}^{-2}$ ${\mathrm{T}}^{-2}$ ${\mathrm{A}}^{-2}\right]$

Subtopic:  Magnetic Flux |
72%
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A square of side L meters lies in the XY-plane in a region where the magnetic field is given by $$\vec{B}=B_{0}\left ( 2\hat{i} +3\hat{j}+4\hat{k}\right )~T$$ where $$B_{0}$$ is constant. The magnitude of flux passing through the square will be:

1.
2.
3.
4.

Subtopic:  Magnetic Flux |
72%
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A circular loop of radius R carrying current i lies in the x-y plane. If the centre of the loop coincides with the origin, then the total magnetic flux passing through the x-y plane will be:

 1 directly proportional to I. 2 directly proportional to R. 3 directly proportional to R2. 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 $\mathrm{\omega }$. The maximum value of the emf induced in it is:

1. $\frac{\mathrm{NBA}}{\mathrm{\omega }}$

2. $\mathrm{NBA\omega }$

3. $\frac{\mathrm{NBA}}{{\mathrm{\omega }}^{2}}$

4. ${\mathrm{NBA\omega }}^{2}$

Subtopic:  Faraday's Law & Lenz Law |
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The current in a coil varies with time t as $\mathrm{I}$ $=$ $3{\mathrm{t}}^{2}+$ $2\mathrm{t}$. If the inductance of coil be 10 mH, the value of induced e.m.f. at $$t=2~\mathrm{s}$$ will be:
1. $$0.14~\mathrm{V}$$
2. $$0.12~\mathrm{V}$$
3. $$0.11~\mathrm{V}$$
4. $$0.13~\mathrm{V}$$

Subtopic:  Faraday's Law & Lenz Law |
87%
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