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PHXII06:ELECTROMAGNETIC INDUCTION

358541 According to phenomenon of mutual inductance

1 The mutual inductance is independent of the magnetic property of the material.

2 The mutual inductance depends geometry of coils

3 Ratio of magnetic flux produced by the coil 1 at the place of the coil 2 and the current in the coil 2 will be different from that of the ratio defined by interchanging the coils.

4 The mutual inductance does not depend on geometry of two coils involved.

PHXII06:ELECTROMAGNETIC INDUCTION

358542 A mutual inductor consists of two coils $X$ and $Y$ as shown in figure in which one quarter of the magnetic flux produced by $X$ links with $Y$ , giving a mutual inductance $M$ . What will be the mutual inductance when $Y$ is used as the primary?
supporting img

1

\frac{M}{4}

2

\frac{M}{2}

3

M

4

2 M

Explanation:

The mutual inductance $M$ remains the same whether $X$ or $Y$ is used as the primary.

PHXII06:ELECTROMAGNETIC INDUCTION

358543 Two conducting circular loops of radii $R_{1}$ 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}}{R_{1}}

2

\frac{R_{1}^{2}}{R_{2}}

3

\frac{R_{2}^{2}}{R_{1}}

4

\frac{R_{1}}{R_{2}}

Explanation:

supporting img

Flux through the smaller loop is $ϕ = M I$
$\begin{matrix} B π R_{1}^{2} = M I \\ (\frac{μ_{0} I}{2 R_{2}}) π R_{1}^{2} = M I \Rightarrow M = \frac{μ_{0} π R_{1}^{2}}{2 R_{2}} \end{matrix}$

NEET - 2021

PHXII06:ELECTROMAGNETIC INDUCTION

358544 An average induced e.m.f. of $1 V$ appears in a coil when the current in it is changed from $10 A$ in one direction to $10 A$ in opposite direction in $0.5 \sec$ . Self-inductance of the coil is

1

25 m H

2

75 m H

3

100 m H

4

50 m H

Explanation:

$| ε_{\arg} | = L \frac{Δ i}{Δ t} \Rightarrow 1 = \frac{L \times [10 - (- 10)]}{0.5} \Rightarrow L = 25 m H$

PHXII06:ELECTROMAGNETIC INDUCTION

358545 Assertion :
When number of turns in a solenoid is doubled, coefficient of self inductance of the solenoid coil becomes four times.
Reason :
Coefficient of self inductance does not depend on number of turns of solenoid.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

We know $L = μ_{o} μ_{r} N^{2} A \Rightarrow L$ depends on $N$ . $\Rightarrow$ When the number of turns in a coil $(N)$ is doubled, the coefficient of self-inductance $(L)$ becomes four times larger. So correct option is (3).

PHXII06:ELECTROMAGNETIC INDUCTION

358541 According to phenomenon of mutual inductance

1 The mutual inductance is independent of the magnetic property of the material.

2 The mutual inductance depends geometry of coils

3 Ratio of magnetic flux produced by the coil 1 at the place of the coil 2 and the current in the coil 2 will be different from that of the ratio defined by interchanging the coils.

4 The mutual inductance does not depend on geometry of two coils involved.

PHXII06:ELECTROMAGNETIC INDUCTION

358542 A mutual inductor consists of two coils $X$ and $Y$ as shown in figure in which one quarter of the magnetic flux produced by $X$ links with $Y$ , giving a mutual inductance $M$ . What will be the mutual inductance when $Y$ is used as the primary?
supporting img

1

\frac{M}{4}

2

\frac{M}{2}

3

M

4

2 M

Explanation:

The mutual inductance $M$ remains the same whether $X$ or $Y$ is used as the primary.

PHXII06:ELECTROMAGNETIC INDUCTION

358543 Two conducting circular loops of radii $R_{1}$ 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}}{R_{1}}

2

\frac{R_{1}^{2}}{R_{2}}

3

\frac{R_{2}^{2}}{R_{1}}

4

\frac{R_{1}}{R_{2}}

Explanation:

supporting img

Flux through the smaller loop is $ϕ = M I$
$\begin{matrix} B π R_{1}^{2} = M I \\ (\frac{μ_{0} I}{2 R_{2}}) π R_{1}^{2} = M I \Rightarrow M = \frac{μ_{0} π R_{1}^{2}}{2 R_{2}} \end{matrix}$

NEET - 2021

PHXII06:ELECTROMAGNETIC INDUCTION

358544 An average induced e.m.f. of $1 V$ appears in a coil when the current in it is changed from $10 A$ in one direction to $10 A$ in opposite direction in $0.5 \sec$ . Self-inductance of the coil is

1

25 m H

2

75 m H

3

100 m H

4

50 m H

Explanation:

$| ε_{\arg} | = L \frac{Δ i}{Δ t} \Rightarrow 1 = \frac{L \times [10 - (- 10)]}{0.5} \Rightarrow L = 25 m H$

PHXII06:ELECTROMAGNETIC INDUCTION

358545 Assertion :
When number of turns in a solenoid is doubled, coefficient of self inductance of the solenoid coil becomes four times.
Reason :
Coefficient of self inductance does not depend on number of turns of solenoid.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

We know $L = μ_{o} μ_{r} N^{2} A \Rightarrow L$ depends on $N$ . $\Rightarrow$ When the number of turns in a coil $(N)$ is doubled, the coefficient of self-inductance $(L)$ becomes four times larger. So correct option is (3).

PHXII06:ELECTROMAGNETIC INDUCTION

358541 According to phenomenon of mutual inductance

1 The mutual inductance is independent of the magnetic property of the material.

2 The mutual inductance depends geometry of coils

3 Ratio of magnetic flux produced by the coil 1 at the place of the coil 2 and the current in the coil 2 will be different from that of the ratio defined by interchanging the coils.

4 The mutual inductance does not depend on geometry of two coils involved.

PHXII06:ELECTROMAGNETIC INDUCTION

358542 A mutual inductor consists of two coils $X$ and $Y$ as shown in figure in which one quarter of the magnetic flux produced by $X$ links with $Y$ , giving a mutual inductance $M$ . What will be the mutual inductance when $Y$ is used as the primary?
supporting img

1

\frac{M}{4}

2

\frac{M}{2}

3

M

4

2 M

Explanation:

The mutual inductance $M$ remains the same whether $X$ or $Y$ is used as the primary.

PHXII06:ELECTROMAGNETIC INDUCTION

358543 Two conducting circular loops of radii $R_{1}$ 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}}{R_{1}}

2

\frac{R_{1}^{2}}{R_{2}}

3

\frac{R_{2}^{2}}{R_{1}}

4

\frac{R_{1}}{R_{2}}

Explanation:

supporting img

Flux through the smaller loop is $ϕ = M I$
$\begin{matrix} B π R_{1}^{2} = M I \\ (\frac{μ_{0} I}{2 R_{2}}) π R_{1}^{2} = M I \Rightarrow M = \frac{μ_{0} π R_{1}^{2}}{2 R_{2}} \end{matrix}$

NEET - 2021

PHXII06:ELECTROMAGNETIC INDUCTION

358544 An average induced e.m.f. of $1 V$ appears in a coil when the current in it is changed from $10 A$ in one direction to $10 A$ in opposite direction in $0.5 \sec$ . Self-inductance of the coil is

1

25 m H

2

75 m H

3

100 m H

4

50 m H

Explanation:

$| ε_{\arg} | = L \frac{Δ i}{Δ t} \Rightarrow 1 = \frac{L \times [10 - (- 10)]}{0.5} \Rightarrow L = 25 m H$

PHXII06:ELECTROMAGNETIC INDUCTION

358545 Assertion :
When number of turns in a solenoid is doubled, coefficient of self inductance of the solenoid coil becomes four times.
Reason :
Coefficient of self inductance does not depend on number of turns of solenoid.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

We know $L = μ_{o} μ_{r} N^{2} A \Rightarrow L$ depends on $N$ . $\Rightarrow$ When the number of turns in a coil $(N)$ is doubled, the coefficient of self-inductance $(L)$ becomes four times larger. So correct option is (3).

PHXII06:ELECTROMAGNETIC INDUCTION

358541 According to phenomenon of mutual inductance

1 The mutual inductance is independent of the magnetic property of the material.

2 The mutual inductance depends geometry of coils

3 Ratio of magnetic flux produced by the coil 1 at the place of the coil 2 and the current in the coil 2 will be different from that of the ratio defined by interchanging the coils.

4 The mutual inductance does not depend on geometry of two coils involved.

PHXII06:ELECTROMAGNETIC INDUCTION

358542 A mutual inductor consists of two coils $X$ and $Y$ as shown in figure in which one quarter of the magnetic flux produced by $X$ links with $Y$ , giving a mutual inductance $M$ . What will be the mutual inductance when $Y$ is used as the primary?
supporting img

1

\frac{M}{4}

2

\frac{M}{2}

3

M

4

2 M

Explanation:

The mutual inductance $M$ remains the same whether $X$ or $Y$ is used as the primary.

PHXII06:ELECTROMAGNETIC INDUCTION

358543 Two conducting circular loops of radii $R_{1}$ 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}}{R_{1}}

2

\frac{R_{1}^{2}}{R_{2}}

3

\frac{R_{2}^{2}}{R_{1}}

4

\frac{R_{1}}{R_{2}}

Explanation:

supporting img

Flux through the smaller loop is $ϕ = M I$
$\begin{matrix} B π R_{1}^{2} = M I \\ (\frac{μ_{0} I}{2 R_{2}}) π R_{1}^{2} = M I \Rightarrow M = \frac{μ_{0} π R_{1}^{2}}{2 R_{2}} \end{matrix}$

NEET - 2021

PHXII06:ELECTROMAGNETIC INDUCTION

358544 An average induced e.m.f. of $1 V$ appears in a coil when the current in it is changed from $10 A$ in one direction to $10 A$ in opposite direction in $0.5 \sec$ . Self-inductance of the coil is

1

25 m H

2

75 m H

3

100 m H

4

50 m H

Explanation:

$| ε_{\arg} | = L \frac{Δ i}{Δ t} \Rightarrow 1 = \frac{L \times [10 - (- 10)]}{0.5} \Rightarrow L = 25 m H$

PHXII06:ELECTROMAGNETIC INDUCTION

358545 Assertion :
When number of turns in a solenoid is doubled, coefficient of self inductance of the solenoid coil becomes four times.
Reason :
Coefficient of self inductance does not depend on number of turns of solenoid.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

We know $L = μ_{o} μ_{r} N^{2} A \Rightarrow L$ depends on $N$ . $\Rightarrow$ When the number of turns in a coil $(N)$ is doubled, the coefficient of self-inductance $(L)$ becomes four times larger. So correct option is (3).

PHXII06:ELECTROMAGNETIC INDUCTION

358541 According to phenomenon of mutual inductance

1 The mutual inductance is independent of the magnetic property of the material.

2 The mutual inductance depends geometry of coils

3 Ratio of magnetic flux produced by the coil 1 at the place of the coil 2 and the current in the coil 2 will be different from that of the ratio defined by interchanging the coils.

4 The mutual inductance does not depend on geometry of two coils involved.

PHXII06:ELECTROMAGNETIC INDUCTION

358542 A mutual inductor consists of two coils $X$ and $Y$ as shown in figure in which one quarter of the magnetic flux produced by $X$ links with $Y$ , giving a mutual inductance $M$ . What will be the mutual inductance when $Y$ is used as the primary?
supporting img

1

\frac{M}{4}

2

\frac{M}{2}

3

M

4

2 M

Explanation:

The mutual inductance $M$ remains the same whether $X$ or $Y$ is used as the primary.

PHXII06:ELECTROMAGNETIC INDUCTION

358543 Two conducting circular loops of radii $R_{1}$ 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}}{R_{1}}

2

\frac{R_{1}^{2}}{R_{2}}

3

\frac{R_{2}^{2}}{R_{1}}

4

\frac{R_{1}}{R_{2}}

Explanation:

supporting img

Flux through the smaller loop is $ϕ = M I$
$\begin{matrix} B π R_{1}^{2} = M I \\ (\frac{μ_{0} I}{2 R_{2}}) π R_{1}^{2} = M I \Rightarrow M = \frac{μ_{0} π R_{1}^{2}}{2 R_{2}} \end{matrix}$

NEET - 2021

PHXII06:ELECTROMAGNETIC INDUCTION

358544 An average induced e.m.f. of $1 V$ appears in a coil when the current in it is changed from $10 A$ in one direction to $10 A$ in opposite direction in $0.5 \sec$ . Self-inductance of the coil is

1

25 m H

2

75 m H

3

100 m H

4

50 m H

Explanation:

$| ε_{\arg} | = L \frac{Δ i}{Δ t} \Rightarrow 1 = \frac{L \times [10 - (- 10)]}{0.5} \Rightarrow L = 25 m H$

PHXII06:ELECTROMAGNETIC INDUCTION

358545 Assertion :
When number of turns in a solenoid is doubled, coefficient of self inductance of the solenoid coil becomes four times.
Reason :
Coefficient of self inductance does not depend on number of turns of solenoid.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

We know $L = μ_{o} μ_{r} N^{2} A \Rightarrow L$ depends on $N$ . $\Rightarrow$ When the number of turns in a coil $(N)$ is doubled, the coefficient of self-inductance $(L)$ becomes four times larger. So correct option is (3).

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