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Two identical current-carrying coaxial loops carry current \(I\) in an opposite sense. A simple amperian loop passes through both of them once. Calling the loop as \(C,\)
| (a) | \(\oint B\cdot dl= \mp 2\mu_0 I\) |
| (b) | the value of \(\oint B\cdot dl\) is independent of the sense of \(C\). |
| (c) | there may be a point on \(C\) where \(B\) and \(dl\) are perpendicular. |
| (d) | \(B\) vanishes everywhere on \(C\). |
Which of the above statements is correct?
| 1. | (a) and (b) | 2. | (a) and (c) |
| 3. | (b) and (c) | 4. | (c) and (d) |
Subtopic: Â Ampere Circuital Law |
Level 3: 35%-60%
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Consider the two idealized systems: (i) a parallel plate capacitor with large plates and small separation and (ii) a long solenoid of length \(L >>R\), radius of cross-section. In (i) \({E}\) is ideally treated as a constant between plates and zero outside. In (ii) magnetic field is constant inside the solenoid and zero outside. These idealised assumptions, however, contradict fundamental laws as below:
1. case (i) contradicts Gauss's law for electrostatic fields.
2. case (ii) contradicts Gauss's law for magnetic fields.
3. case (i) agrees with \(\oint {E} \cdot {d} {l}=0\)
4. case (ii) contradicts \(\oint{H} \cdot {d} {l}=I_{e n}\)
1. case (i) contradicts Gauss's law for electrostatic fields.
2. case (ii) contradicts Gauss's law for magnetic fields.
3. case (i) agrees with \(\oint {E} \cdot {d} {l}=0\)
4. case (ii) contradicts \(\oint{H} \cdot {d} {l}=I_{e n}\)
Subtopic: Â Ampere Circuital Law |
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Level 3: 35%-60%
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