Advertisements
Advertisements
प्रश्न
Two long straight parallel conductors carrying currents I1 and I2 are separated by a distance d. If the currents are flowing in the same direction, show how the magnetic field produced by one exerts an attractive force on the other. Obtain the expression for this force and hence define 1 ampere.
Advertisements
उत्तर
Fab = Force experienced by wire 'a' of length 'l' due to the magnetic field of wire 'b'
Fba = Force experienced by wire 'a' of length 'l' due to the magnetic field of wire 'b'
Ba = Magnetic field due to wire 'a'
Bb = Magnetic field due to wire 'b'
Ba = `(mu_0I_a)/(2rd)`
Since `vecF = i(vecl xx vecB)`
`F_(ba) = I_1. l(mu_0I_2)/(2rd)`
Similarly, `F(ab) = I_1.l(mu_0I_2)/(2rd)`
The direction of force experienced by wire 'a' is toward wire 'b'. (As shown in the diagram).
Similarly, the direction of force experienced by wire 'b' is toward wire 'a'. Thus, the force is attractive.
If two long wires are placed in a vacuum at a separation of 1 m, one Ampere would be defined as the current in each wire that would produce a force of 2 × 10–7Nm–1 per unit length of wire.
APPEARS IN
संबंधित प्रश्न
Two long and parallel straight wires A and B carrying currents of 8.0 A and 5.0 A in the same direction are separated by a distance of 4.0 cm. Estimate the force on a 10 cm section of wire A.
A charged particle goes undeflected in a region containing an electric and a magnetic field. It is possible that
(a) `vecE" || "vecB , vecv" || " vec E `
(b) `vecE "is not parallel" vecB`
(c) `vecv " || " vecB but vecv "is not parallel"`
(d) `vecE" || " vecB but vecv "is not parallel"`
A long, straight wire carries a current along the z-axis, One can find two points in the x−y plane such that
(a) the magnetic fields are equal
(b) the directions of the magnetic fields are the same
(c) the magnitudes of the magnetic fields are equal
(d) the field at one point is opposite to that at the other point.
A current of 10 A is established in a long wire along the positive z-axis. Find the magnetic field \[\vec{B}\] at the point (1 m, 0, 0).
Figure shows a metallic wire of resistance 0.20 Ω sliding on a horizontal, U-shaped metallic rail. The separation between the parallel arms is 20 cm. An electric current of 2.0 µA passes through the wire when it is slid at a rate of 20 cm s−1. If the horizontal component of the earth's magnetic field is 3.0 × 10−5 T, calculate the dip at the place.
Figure shows two parallel wires separated by a distance of 4.0 cm and carrying equal currents of 10 A along opposite directions. Find the magnitude of the magnetic field B at the points A1, A2, A3.
A milli voltmeter of 25 milli volt range is to be converted into an ammeter of 25 ampere range. The value (in ohm) of necessary shunt will be ______.
Equal currents are passing through two very long and straight parallel wires in the same direction. They will ______
Do magnetic forces obey Newton’s third law. Verify for two current elements dl1 = dlî located at the origin and dl2 = dlĵ located at (0, R, 0). Both carry current I.
The figure below are two long, parallel wires carrying current in the same direction such that I1 < I2.
- In which direction will wire I1 move?
- If the direction of the current I2 is reversed, in which direction will the wire I1 move now?
