Induced Electromotive Force
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII06:ELECTROMAGNETIC INDUCTION

358500 There is a uniform magnetic field \(B\) in a circular region of radius \(R\) as shown in figure, whose magnitude changes at the rate of \(dB/dt\). The emf induced across the ends of a circular concentric conducting arc of radius \(R_{1}\) having an angle \(\theta\) as shown \(\left(-O A O^{\prime}=\theta\right)\) is
supporting img

1 \(\dfrac{\theta}{2 \pi} R^{2} \dfrac{d B}{d t}\)
2 \(\dfrac{\theta}{2} R^{2} \dfrac{d B}{d t}\)
3 \(\dfrac{\theta}{2 \pi} R_{1}^{2} \dfrac{d B}{d t}\)
4 None of these
PHXII06:ELECTROMAGNETIC INDUCTION

358501 Assertion :
Time dependent magnetic field generates electric field.
Reason :
Direction of electric field generated from time variable magnetic field does not obey Lenz's law.

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.
PHXII06:ELECTROMAGNETIC INDUCTION

358502 A uniform but time varying magnetic field \(B(t)\) exists in a circular region of radius \(a\) and is directed into the plane of the paper as shown in figure. The magnitude of induced electric field at a point \(P\) at a distance \(r\) from the centre of the circular region
supporting img

1 Increase as \(r\)
2 Decrease as \(1/r\)
3 Is zero
4 Decrease as \(1/r\)
PHXII06:ELECTROMAGNETIC INDUCTION

358503 A uniform magnetic field of induction \(B\) fills a cylindrial volume of radius \(R.\) \(A\,{\text{rod}}\,AB\) of length \(2 l\) is placed as shown in figure. If \(B\) is changing at the rate \(dB/dt\) the emf that is produced by the changing magnetic field and that acts between the ends of the rod is
supporting img

1 \(\dfrac{d B}{d t} l \sqrt{R^{2}-l^{2}}\)
2 \(\dfrac{1}{2} \dfrac{d B}{d t} l \sqrt{R^{2}+l^{2}}\)
3 \(\dfrac{d B}{d t} l \sqrt{R^{2}+l^{2}}\)
4 \(\dfrac{1}{2} \dfrac{d B}{d t} l \sqrt{R^{2}-l^{2}}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358500 There is a uniform magnetic field \(B\) in a circular region of radius \(R\) as shown in figure, whose magnitude changes at the rate of \(dB/dt\). The emf induced across the ends of a circular concentric conducting arc of radius \(R_{1}\) having an angle \(\theta\) as shown \(\left(-O A O^{\prime}=\theta\right)\) is
supporting img

1 \(\dfrac{\theta}{2 \pi} R^{2} \dfrac{d B}{d t}\)
2 \(\dfrac{\theta}{2} R^{2} \dfrac{d B}{d t}\)
3 \(\dfrac{\theta}{2 \pi} R_{1}^{2} \dfrac{d B}{d t}\)
4 None of these
PHXII06:ELECTROMAGNETIC INDUCTION

358501 Assertion :
Time dependent magnetic field generates electric field.
Reason :
Direction of electric field generated from time variable magnetic field does not obey Lenz's law.

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.
PHXII06:ELECTROMAGNETIC INDUCTION

358502 A uniform but time varying magnetic field \(B(t)\) exists in a circular region of radius \(a\) and is directed into the plane of the paper as shown in figure. The magnitude of induced electric field at a point \(P\) at a distance \(r\) from the centre of the circular region
supporting img

1 Increase as \(r\)
2 Decrease as \(1/r\)
3 Is zero
4 Decrease as \(1/r\)
PHXII06:ELECTROMAGNETIC INDUCTION

358503 A uniform magnetic field of induction \(B\) fills a cylindrial volume of radius \(R.\) \(A\,{\text{rod}}\,AB\) of length \(2 l\) is placed as shown in figure. If \(B\) is changing at the rate \(dB/dt\) the emf that is produced by the changing magnetic field and that acts between the ends of the rod is
supporting img

1 \(\dfrac{d B}{d t} l \sqrt{R^{2}-l^{2}}\)
2 \(\dfrac{1}{2} \dfrac{d B}{d t} l \sqrt{R^{2}+l^{2}}\)
3 \(\dfrac{d B}{d t} l \sqrt{R^{2}+l^{2}}\)
4 \(\dfrac{1}{2} \dfrac{d B}{d t} l \sqrt{R^{2}-l^{2}}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358500 There is a uniform magnetic field \(B\) in a circular region of radius \(R\) as shown in figure, whose magnitude changes at the rate of \(dB/dt\). The emf induced across the ends of a circular concentric conducting arc of radius \(R_{1}\) having an angle \(\theta\) as shown \(\left(-O A O^{\prime}=\theta\right)\) is
supporting img

1 \(\dfrac{\theta}{2 \pi} R^{2} \dfrac{d B}{d t}\)
2 \(\dfrac{\theta}{2} R^{2} \dfrac{d B}{d t}\)
3 \(\dfrac{\theta}{2 \pi} R_{1}^{2} \dfrac{d B}{d t}\)
4 None of these
PHXII06:ELECTROMAGNETIC INDUCTION

358501 Assertion :
Time dependent magnetic field generates electric field.
Reason :
Direction of electric field generated from time variable magnetic field does not obey Lenz's law.

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.
PHXII06:ELECTROMAGNETIC INDUCTION

358502 A uniform but time varying magnetic field \(B(t)\) exists in a circular region of radius \(a\) and is directed into the plane of the paper as shown in figure. The magnitude of induced electric field at a point \(P\) at a distance \(r\) from the centre of the circular region
supporting img

1 Increase as \(r\)
2 Decrease as \(1/r\)
3 Is zero
4 Decrease as \(1/r\)
PHXII06:ELECTROMAGNETIC INDUCTION

358503 A uniform magnetic field of induction \(B\) fills a cylindrial volume of radius \(R.\) \(A\,{\text{rod}}\,AB\) of length \(2 l\) is placed as shown in figure. If \(B\) is changing at the rate \(dB/dt\) the emf that is produced by the changing magnetic field and that acts between the ends of the rod is
supporting img

1 \(\dfrac{d B}{d t} l \sqrt{R^{2}-l^{2}}\)
2 \(\dfrac{1}{2} \dfrac{d B}{d t} l \sqrt{R^{2}+l^{2}}\)
3 \(\dfrac{d B}{d t} l \sqrt{R^{2}+l^{2}}\)
4 \(\dfrac{1}{2} \dfrac{d B}{d t} l \sqrt{R^{2}-l^{2}}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII06:ELECTROMAGNETIC INDUCTION

358500 There is a uniform magnetic field \(B\) in a circular region of radius \(R\) as shown in figure, whose magnitude changes at the rate of \(dB/dt\). The emf induced across the ends of a circular concentric conducting arc of radius \(R_{1}\) having an angle \(\theta\) as shown \(\left(-O A O^{\prime}=\theta\right)\) is
supporting img

1 \(\dfrac{\theta}{2 \pi} R^{2} \dfrac{d B}{d t}\)
2 \(\dfrac{\theta}{2} R^{2} \dfrac{d B}{d t}\)
3 \(\dfrac{\theta}{2 \pi} R_{1}^{2} \dfrac{d B}{d t}\)
4 None of these
PHXII06:ELECTROMAGNETIC INDUCTION

358501 Assertion :
Time dependent magnetic field generates electric field.
Reason :
Direction of electric field generated from time variable magnetic field does not obey Lenz's law.

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.
PHXII06:ELECTROMAGNETIC INDUCTION

358502 A uniform but time varying magnetic field \(B(t)\) exists in a circular region of radius \(a\) and is directed into the plane of the paper as shown in figure. The magnitude of induced electric field at a point \(P\) at a distance \(r\) from the centre of the circular region
supporting img

1 Increase as \(r\)
2 Decrease as \(1/r\)
3 Is zero
4 Decrease as \(1/r\)
PHXII06:ELECTROMAGNETIC INDUCTION

358503 A uniform magnetic field of induction \(B\) fills a cylindrial volume of radius \(R.\) \(A\,{\text{rod}}\,AB\) of length \(2 l\) is placed as shown in figure. If \(B\) is changing at the rate \(dB/dt\) the emf that is produced by the changing magnetic field and that acts between the ends of the rod is
supporting img

1 \(\dfrac{d B}{d t} l \sqrt{R^{2}-l^{2}}\)
2 \(\dfrac{1}{2} \dfrac{d B}{d t} l \sqrt{R^{2}+l^{2}}\)
3 \(\dfrac{d B}{d t} l \sqrt{R^{2}+l^{2}}\)
4 \(\dfrac{1}{2} \dfrac{d B}{d t} l \sqrt{R^{2}-l^{2}}\)