Advertisements
Advertisements
प्रश्न
State Biot – Savart law.
उत्तर
According to Biot–Savart’s law, the magnitude of the magnetic field dB is proportional to the current I and the element length dl, and inversely proportional to the square of the distance r.
APPEARS IN
संबंधित प्रश्न
Express Biot – Savart law in the vector form.
State Biot-Savart law.
A current I flows in a conductor placed perpendicular to the plane of the paper. Indicate the direction of the magnetic field due to a small element d `vecl` at point P situated at distance `vecr` from the element as shown in the figure.
An alpha particle is projected vertically upward with a speed of 3.0 × 104 km s−1 in a region where a magnetic field of magnitude 1.0 T exists in the direction south to north. Find the magnetic force that acts on the α-particle.
The magnetic field at the origin due to a current element \[i d \vec{l}\] placed at a position \[\vec{r}\] is
(a)\[\frac{\mu_0 i}{4\pi}\frac{d \vec{l} \times \vec{r}}{r^3}\]
(b) \[- \frac{\mu_0 i}{4\pi}\frac{\vec{r} \times d \vec{l}}{r^3}\]
(c) \[\frac{\mu_0 i}{4\pi}\frac{\vec{r} \times d \vec{l}}{r^3}\]
(d) \[- \frac{\mu_0 i}{4\pi}\frac{d \vec{l} \times \vec{r}}{r^3}\]
A long, vertical wire carrying a current of 10 A in the upward direction is placed in a region where a horizontal magnetic field of magnitude 2.0 × 10−3 T exists from south to north. Find the point where the resultant magnetic field is zero.
A wire of length l is bent in the form of an equilateral triangle and carries an electric current i. (a) Find the magnetic field B at the centre. (b) If the wire is bent in the form of a square, what would be the value of B at the centre?
Derive the expression for the magnetic field due to a current carrying coil of radius r at a distance x from the centre along the X-axis.
Biot-Savart law indicates that the moving electrons (velocity v) produce a magnetic field B such that ______.
- both are long range and inversely proportional to the square of distance from the source to the point of interest.
-
both are linear in source.
-
both are produced by scalar sources.
-
both follow principle of superposition.
The magnetic field at any point on the axis of a current element is ______
