For the magnetic field to be maximum due to a small element of current-carrying conductor at a point, the angle between the element and the line joining the element to the given point must be:
1. 0°
2. 90°
3. 180°
4. 45°
Adjoining figure shows a rectangular loop of conductor carrying a current i. The length and breadth of the loop are respectively a and b. The magnetic field at the centre of loop is:-
1.
2.
3.
4.
Two wires of large length carry equal currents each i. One wire is kept along x-axis and the other is kept along y-axis. The magnitude of magnetic field at a point on z-axis at distance d from the origin is
1.
2.
3.
4. zero
A current-carrying wire is placed in non-conducting liquid medium of refractive index n and relative electrical permittivity . Then magnetic field at a point r distance of the point from the element is given by
1.
2.
3.
4. Both (2) & (3)
To which law of electricity is Biot Savart law of magnetism analogous to
1. Coulomb's law
2. Ohm's law
3. Kirchoff's law
4. Faraday's law
Biot-Savart law indicates that the moving electrons (velocity v) produce a magnetic field B such that:
1. | B ⊥ v. |
2. | B || v. |
3. | it obeys inverse cube law. |
4. | it is along the line joining the electron and point of observation. |
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-axis at a distance of \(0.5\) m?(\(\Delta x=1~\mathrm{cm}\))
1. | \(6\times 10^{-8}~\mathrm{T}\) | 2. | \(4\times 10^{-8}~\mathrm{T}\) |
3. | \(5\times 10^{-8}~\mathrm{T}\) | 4. | \(5.4\times 10^{-8}~\mathrm{T}\) |
A straight wire carrying a current of 12 A is bent into a semi-circular arc of radius 2.0 cm as shown in the figure. Considering the magnetic field B at the centre of the arc, what will be the magnetic field due to the straight segments?
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 false but Statement II is true. |
2. | Both Statement I and Statement II are true. |
3. | Both Statement I and Statement II are false. |
4. | Statement I is true but Statement II is false. |