Advertisements
Advertisements
प्रश्न
An electric current I flows through an infinitely long conductor as shown in Figure 2 (a) below. Write an expression and direction for the magnetic field at point P.
उत्तर
`therefore` By Biot savart’s law
`vec(B) = ∫ vec (dB) = mu_0/(4pi) ∫ (I vec(dl) xx vec(r))/r^3`
The magnetic field created by a current carrying wire is radial magnetic field.
APPEARS IN
संबंधित प्रश्न
State Biot – Savart law.
Using Biot − Savart’s law, derive the expression for the magnetic field in the vector form at a point on the axis of a circular current loop?
What does a toroid consist of? Find out the expression for the magnetic field inside a toroid for N turns of the coil having the average radius r and carrying a current I. Show that the magnetic field in the open space inside and exterior to the toroid is zero.
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 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 center along the X-axis.
The magnetic field at any point on the axis of a current element is ______
A current carrying loop consists of 3 identical quarter circles of radius R, lying in the positive quadrants of the x-y, y-z and z-x planes with their centres at the origin, joined together. Find the direction and magnitude of B at the origin.