Advertisements
Advertisements
प्रश्न
A piece of wire carrying a current of 6.00 A is bent in the form of a circular are of radius 10.0 cm, and it subtends an angle of 120° at the centre. Find the magnetic field B due to this piece of wire at the centre.
Advertisements
उत्तर
Given:
Magnitude of current, I = 6 A
Radius of the semi-circular wire, r = 10 cm
Angle subtended at the centre, θ = 120° = \[\frac{2\pi}{3}\]
∴ Required magnetic field at the centre of curvature
\[B = \frac{\mu_0 i}{2r}\frac{\theta}{2\pi}\]
\[ = \frac{4 \times {10}^{- 7} \times 5}{2 \times 10 \times {10}^{- 2}} \times \frac{2\pi}{3 \times 2\pi}\]
\[ = 4\pi \times {10}^{- 6} \]
\[ = 1 . 26 \times {10}^{- 5} T\]
APPEARS IN
संबंधित प्रश्न
Use Biot-Savart law to derive the expression for the magnetic field on the axis of a current carrying circular loop of radius R.
Draw the magnetic field lines due to a circular wire carrying current I.
Using Biot-Savart law, deduce the expression for the magnetic field at a point (x) on the axis of a circular current carrying loop of radius R. How is the direction of the magnetic field determined at this point?
A current-carrying, straight wire is kept along the axis of a circular loop carrying a current. This straight wire
Consider the situation shown in figure. The straight wire is fixed but the loop can move under magnetic force. The loop will
A steady electric current is flowing through a cylindrical conductor.
(a) The electric field at the axis of the conductor is zero.
(b) The magnetic field at the axis of the conductor is zero.
(c) The electric field in the vicinity of the conductor is zero.
(d) The magnetic field in the vicinity of the conductor is zero.
Figure shows a long wire bent at the middle to form a right angle. Show that the magnitudes of the magnetic fields at the point P, Q, R and S are equal and find this magnitude.
Figure shows a square loop ABCD with edge-length a. The resistance of the wire ABC is r and that of ADC is 2r. Find the magnetic field B at the centre of the loop assuming uniform wires.
A circular loop of radius 20 cm carries a current of 10 A. An electron crosses the plane of the loop with a speed of 2.0 × 106 m s−1. The direction of motion makes an angle of 30° with the axis of the circle and passes through its centre. Find the magnitude of the magnetic force on the electron at the instant it crosses the plane.
A circular loop of radius R carries a current I. Another circular loop of radius r(<<R) carries a current i and is placed at the centre of the larger loop. The planes of the two circles are at right angle to each other. Find the torque acting on the smaller loop.
Find the magnetic field B due to a semicircular wire of radius 10.0 cm carrying a current of 5.0 A at its centre of curvature.
A circular loop of radius r carries a current i. How should a long, straight wire carrying a current 4i be placed in the plane of the circle so that the magnetic field at the centre becomes zero?
Which of these equations is the correct expression for force on a charge in magnetic field?
If we double the radius of a coil keeping the current through it unchanged, then the magnetic field at any point at a large distance from the centre becomes approximately.
A charged particle moving in a uniform magnetic field and losses 4% of its kinetic energy. The radius of curvature of its path changes by ______.
A short bar magnet has a magnetic moment of 0. 65 J T-1, then the magnitude and direction of the magnetic field produced by the magnet at a distance 8 cm from the centre of magnet on the axis is ______.
If ar and at represent radial and tangential accelerations, the motion of the particle will be uniformly circular, if:
Consider a circular current-carrying loop of radius R in the x-y plane with centre at origin. Consider the line intergral
`ℑ(L ) = |int_(-L)^L B.dl|` taken along z-axis.
- Show that ℑ(L) monotonically increases with L.
- Use an appropriate Amperian loop to show that ℑ(∞) = µ0I, where I is the current in the wire.
- Verify directly the above result.
- Suppose we replace the circular coil by a square coil of sides R carrying the same current I. What can you say about ℑ(L) and ℑ(∞)?
