Which of the following gives the value of the magnetic field according to, Biot-Savart’s law :

(a)  $\frac{\mathrm{i}∆\mathrm{lsin}\left(\mathrm{\theta }\right)}{{\mathrm{r}}^{2}}$                               (b)  $\frac{{\mathrm{\mu }}_{0}}{4\mathrm{\pi }}\frac{\mathrm{i}∆\mathrm{lsin}\left(\mathrm{\theta }\right)}{\mathrm{r}}$

(c)  $\frac{{\mathrm{\mu }}_{0}}{4\mathrm{\pi }}\frac{\mathrm{i}∆\mathrm{lsin}\left(\mathrm{\theta }\right)}{{\mathrm{r}}^{2}}$                          (d)   $\frac{{\mathrm{\mu }}_{0}}{4\mathrm{\pi }}\mathrm{i}∆\mathrm{lsin}\left(\mathrm{\theta }\right)$

Concept Questions :-

Biot-Savart law

Difficulty Level:

A wire carrying current i is shaped as shown. Section AB is a quarter circle of radius r. The magnetic field is directed :

(a) At an angle $\mathrm{\pi }/4$ to the plane of the paper

(b) Perpendicular to the plane of the paper and directed in to the paper

(c) Along the bisector of the angle ACB towards AB

(d) Along the bisector of the angle ACB away from AB

Concept Questions :-

Magnetic field due to various cases
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Two long straight wires are set parallel to each other. Each carries a current i in the same direction and the separation between them is 2r. The intensity of the magnetic field midway between them is

(a) ${\mu }_{0}i/r$                               (c) Zero

(b) $4{\mu }_{0i/r}$                              (d) ${\mu }_{0}i/4r$

Concept Questions :-

Magnetic field due to various cases
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The ratio of the magnetic field at the centre of a current-carrying coil of the radius 'a' and at a distance ‘a’ from centre of the coil along the axis of the coil is:

1. $\frac{1}{\sqrt{2}}$                              2. $\sqrt{2}$

3. $\frac{1}{2\sqrt{2}}$                             4. $2\sqrt{2}$

Concept Questions :-

Magnetic field due to various cases
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The earth’s magnetic field at a given point is $0.5×{10}^{-5}Wb-{m}^{-2}.$ This field is to be annulled by magnetic induction at the center of a circular conducting loop of radius 5.0cm. The current required to be flown in the loop is nearly :

(a) 0.2 A                   (b) 0.4A

(c) 4A                       (d) 40A

Concept Questions :-

Magnetic field due to various cases
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A part of a long wire carrying a current i is bent into a circle of radius r as shown in figure. The net magnetic field at the centre O of the circular loop is

(a) $\frac{{\mu }_{0}i}{4r}$                                 (c) $\frac{{\mu }_{0}i}{2\mathrm{\pi r}}\left(\mathrm{\pi }+1\right)$

(b) $\frac{{\mu }_{0}i}{2r}$                                 (d) $\frac{{\mu }_{0}i}{2\mathrm{\pi r}}\left(\mathrm{\pi }-1\right)$

Concept Questions :-

Magnetic field due to various cases
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

In the figure, what is the magnectic field at the point O

(a) $\frac{{\mu }_{0}I}{4\mathrm{\pi r}}$                                   (c) $\frac{{\mu }_{0}I}{4r}+\frac{{\mu }_{0}I}{4\mathrm{\pi r}}$

(b) $\frac{{\mu }_{0}I}{4\mathrm{\pi r}}+\frac{{\mu }_{0}I}{2\mathrm{\pi r}}$                         (d) $\frac{{\mu }_{0}I}{4r}-\frac{{\mu }_{0}I}{4\mathrm{\pi r}}$

Concept Questions :-

Magnetic field due to various cases
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The magnetic moment of a current (i) carrying circular coil of radius (r) and number of turns (n) varies as :

(a) $1/{r}^{2}$                             (b) $1/r$

(c) r                                   (d) ${r}^{2}$

Concept Questions :-

Magnetic moment
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The current is flowing in the south direction along a power line. The direction of the magnetic field above the power line (neglecting earth's field) is :

(a) South                         (b) East

(c) North                          (d) West

Concept Questions :-

Magnetic field due to various cases
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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 :

(a) 0°                            (b) 90°

(c) 180°                         (d) 45°

Concept Questions :-

Biot-Savart law