Question
Explain Biot and Savart's law with suitable diagram.
✓
Answer
1.In the above figure, there is a current carrying wire of arbitrary shape, carrying a current I. The current in the differential length element $d l$ produces differential magnetic field $d \vec{B}$ at a point P at a distance $\vec{r}$ from the element $d l$. The $\otimes$ indicates that $d \vec{B}$ is directed into the plane of the paper.
2.According to Biot-Savart's law the strength of the magnetic field at any point due to current carrying conductor is directly proportional to current (1), current element (dl), sine and inversally proportional to distance from current element.
$\therefore \quad d B=\frac{\mu_0}{4 \pi} \frac{I d l \sin \theta}{r^2}$
Above equation is known as Biot-Savart's law.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
What is the pressure exerted by a water column of height $1 \mathrm{~m} ?\left[\rho=10^3 \mathrm{~kg} / \mathrm{m}^3, \mathrm{~g}=9.8 \mathrm{~m} / \mathrm{s}^2\right]$
→The combined resistance of a galvanometer of resistance \(500 \Omega\) and its shunt is \(21 \Omega\). Calculate the value of shunt.
Currents in two infinitely long, parallel wires exert forces on each other. Is this consistent with Newton’s third law?
A torque of $20 \mathrm{~N}$.m sets a stationary circular disc into rotation about a transverse axis through its centre and acts for $2 \pi$ seconds. If the disc has a mass $10 \mathrm{~kg}$ and radius $0.2 \mathrm{~m}$, what is its frequency of rotation after $2 \pi$ seconds ?
→Derive an expression for magnitude of magnetic dipole moment of a revolving electron.
The frequency of revolution of the electron in the second Bohr orbit in the hydrogen atom is $8.22 \times 10^{14} Hz$. What is the corresponding electric ' current? $[e =1.6 \times 10^{-19} C ]$
→If a force of $200 \mathrm{~N}$ is applied perpendicular to a surface of area $10 \mathrm{~cm}^2$, what is the corresponding pressure?
→Define Self Inductance.
A tube open at both ends is $47 cm$ long. Calculate the fundamental frequency of the air column. (Ignore the end correction. Speed of sound in air is $3.3 \times 10^2 m / s$.)
→A wheel of moment of inertia $1 kgm ^2$ is rotating at a speed of $40 rad / s$. Due to friction on the axis, the wheel comes to rest in 10 minutes. Calculate the angular momentum of the wheel, two minutes before it comes to rest.
→