# Two conducting circular loops of radii $$R_1$$$\mathrm{and}$$$R_2$$ are placed in the same plane with their centres coinciding. If $$R_1>>R_2$$ the mutual inductance $$M$$ between them will be directly proportional to: 1. $$\frac{R^2_1}{R_2}$$ 2. $$\frac{R^2_2}{R_1}$$ 3. $$\frac{R_1}{R_2}$$ 4. $$\frac{R_2}{R_1}$$

Subtopic:  Mutual Inductance |
59%
From NCERT
NEET - 2021
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For a coil having $$L=2~\text{mH},$$ the current flow through it is $$I=t^2e^{-t}.$$ The time at which emf becomes zero is:
1. $$2$$ s
2. $$1$$ s
3. $$4$$ s
4. $$3$$ s

Subtopic:  Self - Inductance |
60%
From NCERT
AIPMT - 2001
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The magnetic flux through a circuit of resistance R changes by an amount $∆\varphi$ in a time ∆t. Then the total quantity of electric charge Q that passes any point in the circuit during the time ∆t is represented by:

1. $\mathrm{Q}=\frac{\mathrm{\Delta }\varphi }{\mathrm{R}}$

2. $\mathrm{Q}=\frac{\mathrm{\Delta }\varphi }{\mathrm{\Delta t}}$

3. $\mathrm{Q}=\mathrm{R}\cdot \frac{\mathrm{\Delta }\varphi }{\mathrm{\Delta t}}$

4. $\mathrm{Q}=\frac{1}{\mathrm{R}}\cdot \frac{\mathrm{\Delta }\varphi }{\mathrm{\Delta t}}$

Subtopic:  Faraday's Law & Lenz Law |
83%
From NCERT
AIPMT - 2004
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For an inductor coil, $$L = 0.04 ~\text{H}$$, the work done by a source to establish a current of $$5~\text{A}$$ in it is:
1.  $$0.5~\text{J}$$
2.  $$1.00~\text{J}$$
3.  $$100~\text{J}$$
4.  $$20~\text{J}$$

Subtopic:  Self - Inductance |
From NCERT
AIPMT - 1999
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Initially plane of a coil is parallel to the uniform magnetic field B. If in time ∆t the coil is perpendicular to the magnetic field, then charge flows in ∆t depends on this time as:

1. $\propto$ $∆t$

2. $\propto$ $\frac{1}{∆t}$

3. $\propto$ ${\left(∆t\right)}^{0}$

4. $\propto$ ${\left(∆t\right)}^{2}$

Subtopic:  Motional emf |
77%
From NCERT
AIPMT - 1999
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As a result of a change in the magnetic flux linked to the closed-loop shown in the figure, an e.m.f., V volt is induced in the loop. The work done (joules) in taking a charge Q coulomb once along the loop is:

1. QV

2. QV/2

3. 2QV

4. zero

Subtopic:  Faraday's Law & Lenz Law |
From NCERT
AIPMT - 2005
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Two coils have a mutual inductance $$0.005$$ H. The current changes in the first coil according to equation $$I=I_{0}sin\omega t$$ where $$I_{0}=2$$ A and $$\omega=100\pi$$ rad/s. The maximum value of emf in the second coil is:
1. $$4\pi$$ V
2. $$3\pi$$ V
3. $$2\pi$$ V
4. $$\pi$$ V

Subtopic:  Mutual Inductance |
72%
From NCERT
AIPMT - 1998
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In a coil of resistance $$10$$ $$\Omega$$, the induced current developed by changing magnetic flux through it is shown in the figure as a function of time. The magnitude of change in flux through the coil in Weber is:

1. $$2$$
2. $$6$$
3. $$4$$
4. $$8$$

Subtopic:  Magnetic Flux |
67%
From NCERT
AIPMT - 2012
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A wheel with $$20$$ metallic spokes, each $$1$$ m long, is rotated with a speed of $$120$$ rpm in a plane perpendicular to a magnetic field of $$0.4~\text{G}$$. The induced emf between the axle and rim of the wheel will be:
$$(1~\text{G}=10^{-4}~\text{T})$$
1. $$2.51 \times10^{-4}$$ V
2. $$2.51 \times10^{-5}$$ V
3. $$4.0 \times10^{-5}$$ V
4. $$2.51$$ V

Subtopic:  Motional emf |
60%
From NCERT
NEET - 2020
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The magnetic flux linked with a coil (in Wb) is given by the equation $$\phi=5 t^2+3 t+60$$. The magnitude of induced emf in the coil at $$t=4$$ s  will be:
1. $$33$$ V
2. $$43$$ V
3. $$108$$ V
4. $$10$$ V

Subtopic:  Faraday's Law & Lenz Law |
87%
From NCERT
NEET - 2020
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