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.
Explanation:
Mutual inductance depends on geometry of the coils and property of the medium. Mutual inductance is always defined for a pair.
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?
1 \(\dfrac{M}{4}\)
2 \(\dfrac{M}{2}\)
3 \(M\)
4 \(2M\)
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 \(\dfrac{R_{2}}{R_{1}}\)
2 \(\dfrac{R_{1}^{2}}{R_{2}}\)
3 \(\dfrac{R_{2}^{2}}{R_{1}}\)
4 \(\dfrac{R_{1}}{R_{2}}\)
Explanation:
Flux through the smaller loop is \(\phi=M I\) \(\begin{gathered}B \pi R_{1}^{2}=M I \\\left(\dfrac{\mu_{0} I}{2 R_{2}}\right) \pi R_{1}^{2}=M I \Rightarrow M=\dfrac{\mu_{0} \pi R_{1}^{2}}{2 R_{2}}\end{gathered}\)
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 \(10A\) in opposite direction in \(0.5\,\sec \). Self-inductance of the coil is
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 \(L=\mu_{o} \mu_{r} N^{2} A \Rightarrow L\) depends on \(\mathrm{N}\). \(\Rightarrow\) 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).
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.
Explanation:
Mutual inductance depends on geometry of the coils and property of the medium. Mutual inductance is always defined for a pair.
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?
1 \(\dfrac{M}{4}\)
2 \(\dfrac{M}{2}\)
3 \(M\)
4 \(2M\)
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 \(\dfrac{R_{2}}{R_{1}}\)
2 \(\dfrac{R_{1}^{2}}{R_{2}}\)
3 \(\dfrac{R_{2}^{2}}{R_{1}}\)
4 \(\dfrac{R_{1}}{R_{2}}\)
Explanation:
Flux through the smaller loop is \(\phi=M I\) \(\begin{gathered}B \pi R_{1}^{2}=M I \\\left(\dfrac{\mu_{0} I}{2 R_{2}}\right) \pi R_{1}^{2}=M I \Rightarrow M=\dfrac{\mu_{0} \pi R_{1}^{2}}{2 R_{2}}\end{gathered}\)
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 \(10A\) in opposite direction in \(0.5\,\sec \). Self-inductance of the coil is
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 \(L=\mu_{o} \mu_{r} N^{2} A \Rightarrow L\) depends on \(\mathrm{N}\). \(\Rightarrow\) 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).
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.
Explanation:
Mutual inductance depends on geometry of the coils and property of the medium. Mutual inductance is always defined for a pair.
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?
1 \(\dfrac{M}{4}\)
2 \(\dfrac{M}{2}\)
3 \(M\)
4 \(2M\)
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 \(\dfrac{R_{2}}{R_{1}}\)
2 \(\dfrac{R_{1}^{2}}{R_{2}}\)
3 \(\dfrac{R_{2}^{2}}{R_{1}}\)
4 \(\dfrac{R_{1}}{R_{2}}\)
Explanation:
Flux through the smaller loop is \(\phi=M I\) \(\begin{gathered}B \pi R_{1}^{2}=M I \\\left(\dfrac{\mu_{0} I}{2 R_{2}}\right) \pi R_{1}^{2}=M I \Rightarrow M=\dfrac{\mu_{0} \pi R_{1}^{2}}{2 R_{2}}\end{gathered}\)
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 \(10A\) in opposite direction in \(0.5\,\sec \). Self-inductance of the coil is
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 \(L=\mu_{o} \mu_{r} N^{2} A \Rightarrow L\) depends on \(\mathrm{N}\). \(\Rightarrow\) 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).
NEET Test Series from KOTA - 10 Papers In MS WORD
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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.
Explanation:
Mutual inductance depends on geometry of the coils and property of the medium. Mutual inductance is always defined for a pair.
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?
1 \(\dfrac{M}{4}\)
2 \(\dfrac{M}{2}\)
3 \(M\)
4 \(2M\)
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 \(\dfrac{R_{2}}{R_{1}}\)
2 \(\dfrac{R_{1}^{2}}{R_{2}}\)
3 \(\dfrac{R_{2}^{2}}{R_{1}}\)
4 \(\dfrac{R_{1}}{R_{2}}\)
Explanation:
Flux through the smaller loop is \(\phi=M I\) \(\begin{gathered}B \pi R_{1}^{2}=M I \\\left(\dfrac{\mu_{0} I}{2 R_{2}}\right) \pi R_{1}^{2}=M I \Rightarrow M=\dfrac{\mu_{0} \pi R_{1}^{2}}{2 R_{2}}\end{gathered}\)
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 \(10A\) in opposite direction in \(0.5\,\sec \). Self-inductance of the coil is
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 \(L=\mu_{o} \mu_{r} N^{2} A \Rightarrow L\) depends on \(\mathrm{N}\). \(\Rightarrow\) 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).
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.
Explanation:
Mutual inductance depends on geometry of the coils and property of the medium. Mutual inductance is always defined for a pair.
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?
1 \(\dfrac{M}{4}\)
2 \(\dfrac{M}{2}\)
3 \(M\)
4 \(2M\)
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 \(\dfrac{R_{2}}{R_{1}}\)
2 \(\dfrac{R_{1}^{2}}{R_{2}}\)
3 \(\dfrac{R_{2}^{2}}{R_{1}}\)
4 \(\dfrac{R_{1}}{R_{2}}\)
Explanation:
Flux through the smaller loop is \(\phi=M I\) \(\begin{gathered}B \pi R_{1}^{2}=M I \\\left(\dfrac{\mu_{0} I}{2 R_{2}}\right) \pi R_{1}^{2}=M I \Rightarrow M=\dfrac{\mu_{0} \pi R_{1}^{2}}{2 R_{2}}\end{gathered}\)
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 \(10A\) in opposite direction in \(0.5\,\sec \). Self-inductance of the coil is
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 \(L=\mu_{o} \mu_{r} N^{2} A \Rightarrow L\) depends on \(\mathrm{N}\). \(\Rightarrow\) 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).
