Inductance
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PHXII06:ELECTROMAGNETIC INDUCTION

358524 The coefficient of self-inductance and the coefficient of mutual inductance have

1 Same units but different dimensions
2 Different units but same dimensions
3 Different units and different dimensions
4 Same units and same dimensions
PHXII06:ELECTROMAGNETIC INDUCTION

358525 Find the mutual inductance in the arrangement, when a small circular loop of wire of radius ' \(R\) ' is placed inside a large square loop of wire of side \(L(L>>R)\). The loops are coplanar and their centres coincide
supporting img

1 \(M=\dfrac{2 \sqrt{2} \mu_{0} R^{2}}{L}\)
2 \(M=\dfrac{\sqrt{2} \mu_{0} R^{2}}{L}\)
3 \(M=\dfrac{\sqrt{2} \mu_{0} R}{L^{2}}\)
4 \(M=\dfrac{2 \sqrt{2} \mu_{0} R}{L^{2}}\)
JEE - 2023
PHXII06:ELECTROMAGNETIC INDUCTION

358526 Two conducting circular loops \(A\) and \(B\) are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is
supporting img

1 \(\dfrac{\mu_{0} \pi a^{2}}{2 b}\)
2 \(\dfrac{\mu_{0}}{2 \pi} \cdot \dfrac{b^{2}}{a}\)
3 \(\dfrac{\mu_{0} \pi b^{2}}{2 a}\)
4 \(\dfrac{\mu_{0}}{2 \pi} \cdot \dfrac{a^{2}}{b}\)
JEE - 2024
PHXII06:ELECTROMAGNETIC INDUCTION

358527 Two coils have mutual inductance \(0.001H\). The current changes in the first coil according to equation \(I=I_{0} \cos \omega t\), where \({I_0} = 20\;A\) and \(\omega = 100\pi \,rad\,{s^{ - 1}}\). The maximum value of emf in volt in the second coil is:

1 \(12 \pi\)
2 \(8 \pi\)
3 \(2 \pi\)
4 \(6 \pi\)
PHXII06:ELECTROMAGNETIC INDUCTION

358528 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, \({I_0} = 10\;A\) and \(\omega = 100\pi \,rad{s^{ - 1}}.\) The maximum value of emf in the second coil is

1 \(2\pi V\)
2 \(5\pi V\)
3 \(\pi V\)
4 \(4\pi V\)
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PHXII06:ELECTROMAGNETIC INDUCTION

358524 The coefficient of self-inductance and the coefficient of mutual inductance have

1 Same units but different dimensions
2 Different units but same dimensions
3 Different units and different dimensions
4 Same units and same dimensions
PHXII06:ELECTROMAGNETIC INDUCTION

358525 Find the mutual inductance in the arrangement, when a small circular loop of wire of radius ' \(R\) ' is placed inside a large square loop of wire of side \(L(L>>R)\). The loops are coplanar and their centres coincide
supporting img

1 \(M=\dfrac{2 \sqrt{2} \mu_{0} R^{2}}{L}\)
2 \(M=\dfrac{\sqrt{2} \mu_{0} R^{2}}{L}\)
3 \(M=\dfrac{\sqrt{2} \mu_{0} R}{L^{2}}\)
4 \(M=\dfrac{2 \sqrt{2} \mu_{0} R}{L^{2}}\)
JEE - 2023
PHXII06:ELECTROMAGNETIC INDUCTION

358526 Two conducting circular loops \(A\) and \(B\) are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is
supporting img

1 \(\dfrac{\mu_{0} \pi a^{2}}{2 b}\)
2 \(\dfrac{\mu_{0}}{2 \pi} \cdot \dfrac{b^{2}}{a}\)
3 \(\dfrac{\mu_{0} \pi b^{2}}{2 a}\)
4 \(\dfrac{\mu_{0}}{2 \pi} \cdot \dfrac{a^{2}}{b}\)
JEE - 2024
PHXII06:ELECTROMAGNETIC INDUCTION

358527 Two coils have mutual inductance \(0.001H\). The current changes in the first coil according to equation \(I=I_{0} \cos \omega t\), where \({I_0} = 20\;A\) and \(\omega = 100\pi \,rad\,{s^{ - 1}}\). The maximum value of emf in volt in the second coil is:

1 \(12 \pi\)
2 \(8 \pi\)
3 \(2 \pi\)
4 \(6 \pi\)
PHXII06:ELECTROMAGNETIC INDUCTION

358528 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, \({I_0} = 10\;A\) and \(\omega = 100\pi \,rad{s^{ - 1}}.\) The maximum value of emf in the second coil is

1 \(2\pi V\)
2 \(5\pi V\)
3 \(\pi V\)
4 \(4\pi V\)
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PHXII06:ELECTROMAGNETIC INDUCTION

358524 The coefficient of self-inductance and the coefficient of mutual inductance have

1 Same units but different dimensions
2 Different units but same dimensions
3 Different units and different dimensions
4 Same units and same dimensions
PHXII06:ELECTROMAGNETIC INDUCTION

358525 Find the mutual inductance in the arrangement, when a small circular loop of wire of radius ' \(R\) ' is placed inside a large square loop of wire of side \(L(L>>R)\). The loops are coplanar and their centres coincide
supporting img

1 \(M=\dfrac{2 \sqrt{2} \mu_{0} R^{2}}{L}\)
2 \(M=\dfrac{\sqrt{2} \mu_{0} R^{2}}{L}\)
3 \(M=\dfrac{\sqrt{2} \mu_{0} R}{L^{2}}\)
4 \(M=\dfrac{2 \sqrt{2} \mu_{0} R}{L^{2}}\)
JEE - 2023
PHXII06:ELECTROMAGNETIC INDUCTION

358526 Two conducting circular loops \(A\) and \(B\) are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is
supporting img

1 \(\dfrac{\mu_{0} \pi a^{2}}{2 b}\)
2 \(\dfrac{\mu_{0}}{2 \pi} \cdot \dfrac{b^{2}}{a}\)
3 \(\dfrac{\mu_{0} \pi b^{2}}{2 a}\)
4 \(\dfrac{\mu_{0}}{2 \pi} \cdot \dfrac{a^{2}}{b}\)
JEE - 2024
PHXII06:ELECTROMAGNETIC INDUCTION

358527 Two coils have mutual inductance \(0.001H\). The current changes in the first coil according to equation \(I=I_{0} \cos \omega t\), where \({I_0} = 20\;A\) and \(\omega = 100\pi \,rad\,{s^{ - 1}}\). The maximum value of emf in volt in the second coil is:

1 \(12 \pi\)
2 \(8 \pi\)
3 \(2 \pi\)
4 \(6 \pi\)
PHXII06:ELECTROMAGNETIC INDUCTION

358528 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, \({I_0} = 10\;A\) and \(\omega = 100\pi \,rad{s^{ - 1}}.\) The maximum value of emf in the second coil is

1 \(2\pi V\)
2 \(5\pi V\)
3 \(\pi V\)
4 \(4\pi V\)
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PHXII06:ELECTROMAGNETIC INDUCTION

358524 The coefficient of self-inductance and the coefficient of mutual inductance have

1 Same units but different dimensions
2 Different units but same dimensions
3 Different units and different dimensions
4 Same units and same dimensions
PHXII06:ELECTROMAGNETIC INDUCTION

358525 Find the mutual inductance in the arrangement, when a small circular loop of wire of radius ' \(R\) ' is placed inside a large square loop of wire of side \(L(L>>R)\). The loops are coplanar and their centres coincide
supporting img

1 \(M=\dfrac{2 \sqrt{2} \mu_{0} R^{2}}{L}\)
2 \(M=\dfrac{\sqrt{2} \mu_{0} R^{2}}{L}\)
3 \(M=\dfrac{\sqrt{2} \mu_{0} R}{L^{2}}\)
4 \(M=\dfrac{2 \sqrt{2} \mu_{0} R}{L^{2}}\)
JEE - 2023
PHXII06:ELECTROMAGNETIC INDUCTION

358526 Two conducting circular loops \(A\) and \(B\) are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is
supporting img

1 \(\dfrac{\mu_{0} \pi a^{2}}{2 b}\)
2 \(\dfrac{\mu_{0}}{2 \pi} \cdot \dfrac{b^{2}}{a}\)
3 \(\dfrac{\mu_{0} \pi b^{2}}{2 a}\)
4 \(\dfrac{\mu_{0}}{2 \pi} \cdot \dfrac{a^{2}}{b}\)
JEE - 2024
PHXII06:ELECTROMAGNETIC INDUCTION

358527 Two coils have mutual inductance \(0.001H\). The current changes in the first coil according to equation \(I=I_{0} \cos \omega t\), where \({I_0} = 20\;A\) and \(\omega = 100\pi \,rad\,{s^{ - 1}}\). The maximum value of emf in volt in the second coil is:

1 \(12 \pi\)
2 \(8 \pi\)
3 \(2 \pi\)
4 \(6 \pi\)
PHXII06:ELECTROMAGNETIC INDUCTION

358528 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, \({I_0} = 10\;A\) and \(\omega = 100\pi \,rad{s^{ - 1}}.\) The maximum value of emf in the second coil is

1 \(2\pi V\)
2 \(5\pi V\)
3 \(\pi V\)
4 \(4\pi V\)
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PHXII06:ELECTROMAGNETIC INDUCTION

358524 The coefficient of self-inductance and the coefficient of mutual inductance have

1 Same units but different dimensions
2 Different units but same dimensions
3 Different units and different dimensions
4 Same units and same dimensions
PHXII06:ELECTROMAGNETIC INDUCTION

358525 Find the mutual inductance in the arrangement, when a small circular loop of wire of radius ' \(R\) ' is placed inside a large square loop of wire of side \(L(L>>R)\). The loops are coplanar and their centres coincide
supporting img

1 \(M=\dfrac{2 \sqrt{2} \mu_{0} R^{2}}{L}\)
2 \(M=\dfrac{\sqrt{2} \mu_{0} R^{2}}{L}\)
3 \(M=\dfrac{\sqrt{2} \mu_{0} R}{L^{2}}\)
4 \(M=\dfrac{2 \sqrt{2} \mu_{0} R}{L^{2}}\)
JEE - 2023
PHXII06:ELECTROMAGNETIC INDUCTION

358526 Two conducting circular loops \(A\) and \(B\) are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is
supporting img

1 \(\dfrac{\mu_{0} \pi a^{2}}{2 b}\)
2 \(\dfrac{\mu_{0}}{2 \pi} \cdot \dfrac{b^{2}}{a}\)
3 \(\dfrac{\mu_{0} \pi b^{2}}{2 a}\)
4 \(\dfrac{\mu_{0}}{2 \pi} \cdot \dfrac{a^{2}}{b}\)
JEE - 2024
PHXII06:ELECTROMAGNETIC INDUCTION

358527 Two coils have mutual inductance \(0.001H\). The current changes in the first coil according to equation \(I=I_{0} \cos \omega t\), where \({I_0} = 20\;A\) and \(\omega = 100\pi \,rad\,{s^{ - 1}}\). The maximum value of emf in volt in the second coil is:

1 \(12 \pi\)
2 \(8 \pi\)
3 \(2 \pi\)
4 \(6 \pi\)
PHXII06:ELECTROMAGNETIC INDUCTION

358528 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, \({I_0} = 10\;A\) and \(\omega = 100\pi \,rad{s^{ - 1}}.\) The maximum value of emf in the second coil is

1 \(2\pi V\)
2 \(5\pi V\)
3 \(\pi V\)
4 \(4\pi V\)