A conducting square frame of side \(a\) and a long straight wire carrying current \(I\) are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity \(v.\) The emf induced in the frame will be proportional to:

1. \( \dfrac{1}{x^2} \) 2. \( \dfrac{1}{(2 x-a)^2} \)
3. \( \dfrac{1}{(2 x+a)^2} \) 4. \(\dfrac{1}{(2 x-a)(2 x+a)}\)
Subtopic:  Motional emf |
 74%
Level 2: 60%+
NEET - 2015
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A thin semicircular conducting the ring \((PQR)\) of radius \(r\) is falling with its plane vertical in a horizontal magnetic field \(B,\) as shown in the figure. The potential difference developed across the ring when it moves with speed \(v\) is: 

1. zero
2. \(Bv\pi r^{2}/2\) and \(P\) is at a higher potential
3. \(\pi rvB\) and \(R\) is at a higher potential
4. \(2BvR\) and \(R\) is at a higher potential
Subtopic:  Motional emf |
 75%
Level 2: 60%+
AIPMT - 2014
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A rectangular, a square, a circular, and an elliptical loop, all in the \((x\text-y)\) plane, are moving out of a uniform magnetic field with a constant velocity, \(\vec{v}= v\hat{i}.\) The magnetic field is directed along the negative \(z\text-\)axis direction. The induced emf, during the passage of these loops out of the field region, will not remain constant for:
1. the rectangular, circular, and elliptical loops.
2. the circular and the elliptical loops.
3. only the elliptical loop.
4. any of the four loops.
Subtopic:  Motional emf |
 73%
Level 2: 60%+
AIPMT - 2009
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Initially plane of a coil is parallel to the uniform magnetic field \(B\). If in time \(\Delta t\) the coil is perpendicular to the magnetic field, then charge flows in \(\Delta t\) depends on this time as:
1. \(\propto \Delta t\)
2. \(\propto \frac{1}{\Delta t}\)
3. \(\propto (\Delta t)^0\)
4. \(\propto (\Delta t)^{2}\)

Subtopic:  Motional emf |
 79%
Level 2: 60%+
AIPMT - 1999
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