- 1(current)
Q. No.The figure shows a current carrying loop having four segments \(1,\) \(2,\) \(3\) and \(4.\) The magnitude of the magnetic field at centre \(\mathrm{O}\) is maximum due to:
| 1. | segment \(1\) | 2. | segment \(2\) |
| 3. | segment \(3\) | 4. | segment \(4\) |
Subtopic: Â Biot-Savart Law |
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The magnetic field near a current-carrying conductor is given by:
| 1. | Coulomb's law | 2. | Lenz's law |
| 3. | Biot-Savart law | 4. | Kirchoff's law |
Subtopic: Â Biot-Savart Law |
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The strength of the magnetic field around a straight current-carrying conductor as observed by Biot and Savart was that:
| 1. | field is the same every where around the conductor. |
| 2. | field is directly proportional to the square of the current flowing in the conductor. |
| 3. | field obeys the inverse square law of distance. |
| 4. | magnetic field strength was maximum on the axis of the current conductor. |
Subtopic: Â Biot-Savart Law |
 78%
From NCERT
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Given below are two statements:
| Statement I: | The magnetic field due to a segment \(\overrightarrow{dl}\) of a current-carrying wire carrying a current, \(I\) is given by: \(\overrightarrow{dB}=\dfrac{\mu_0}{4\pi}~I\left(\overrightarrow{dl}\times\dfrac{\overrightarrow r}{r^3}\right )\), where \(\vec{r}\) is the position vector of the field point with respect to the wire segment. |
| Statement II: | The magnetic field of a current-carrying wire is never parallel to the wire. |
| 1. | Statement I and Statement II are True and Statement I is the correct explanation of Statement II. |
| 2. | Statement I and Statement II are True and Statement I is not the correct explanation of Statement II. |
| 3. | Statement I is True, Statement II is False. |
| 4. | Statement I is False, Statement II is True. |
Subtopic: Â Biot-Savart Law |
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Biot-Savart law indicates that the moving electrons (velocity \(v\)) produce a magnetic field \(B\) such that:
| 1. | \(B\perp v\). |
| 2. | \(B\parallel v\). |
| 3. | it obeys inverse cube law. |
| 4. | it is along the line joining the electron and point of observation. |
Subtopic: Â Biot-Savart Law |
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An element \(\Delta l=\Delta x \hat{i}\) is placed at the origin and carries a large current of \(I=10\) A (as shown in the figure). What is the magnetic field on the \(y\text-\)axis at a distance of \(0.5\) m? \((\Delta x=1~\text{cm})\)
| 1. | \(6\times 10^{-8}~\text{T}\) | 2. | \(4\times 10^{-8}~\text{T}\) |
| 3. | \(5\times 10^{-8}~\text{T}\) | 4. | \(5.4\times 10^{-8}~\text{T}\) |
Subtopic: Â Biot-Savart Law |
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The same current \(I\) is flowing in two infinitely long wires in positive \(x \) and \(y\)-directions. The magnetic field at a point \((0,0,a)\) would be:
1. \( \dfrac{\mu_{0} i}{2 \pi a}(\hat{i}+\hat{j})\)
2. \( \dfrac{\mu_{0} i}{2 \pi a}(-\hat{i}+\hat{j})\)
3. \(\dfrac{\mu_{0} i}{2 \pi a}(-\hat{i}-\hat{j})\)
4. \(\dfrac{\mu_{0} i}{2 \pi a}(\hat{i}-\hat{j})\)
1. \( \dfrac{\mu_{0} i}{2 \pi a}(\hat{i}+\hat{j})\)
2. \( \dfrac{\mu_{0} i}{2 \pi a}(-\hat{i}+\hat{j})\)
3. \(\dfrac{\mu_{0} i}{2 \pi a}(-\hat{i}-\hat{j})\)
4. \(\dfrac{\mu_{0} i}{2 \pi a}(\hat{i}-\hat{j})\)
Subtopic: Â Biot-Savart Law |
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Determine the magnetic field for the given current diagram at point \(O\)?
| 1. | \(\dfrac{\mu_{0} i}{4 \pi a}\) | 2. | \(\dfrac{\mu_{0} i}{2 \pi a}\) |
| 3. | \( \dfrac{\mu_{0} i}{\pi a}\) | 4. | \(\dfrac{2 \mu_{0} i}{\pi a}\) |
Subtopic: Â Biot-Savart Law |
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The magnetic field due to a straight conductor of a uniform cross-section of radius \(a\) and carrying a steady current is represented by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Â Biot-Savart Law |
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Given below are two statements:
| Statement I: | Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element \(I(dl)\) of a current-carrying conductor only. |
| Statement II: | Biot-Savart's law is analogous to Coulomb's inverse square law of charge \(q,\) with the former being related to the field produced by a scalar source, \(Idl\) while the latter being produced by a vector source, \(q.\) |
| 1. | Statement I is incorrect but Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct but Statement II is incorrect. |
Subtopic: Â Biot-Savart Law |
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- 1(current)
Q. No.
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