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. | |
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| 3. | 4. |
Given below are two statements:
| Statement I: | The magnetic field due to a segment \({d\vec l}\) of a current-carrying wire carrying a current, \(I\) is given by: \({d\vec B}=\dfrac{\mu_0}{4\pi}~I\left({d\vec l}\times\dfrac{\vec r}{r^3}\right ),\) 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, and Statement II is False. |
| 4. | Statement I is False, and Statement II is True. |
| Statement I: | Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element \((Idl)\) 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. |