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.
The figure shows three infinitely long straight parallel current carrying conductors. Find the
- magnitude and direction of the net magnetic field at point A lying on conductor 1,
- magnetic force on conductor 2.
Two long straight parallel conductors 'a' and 'b', carrying steady currents Ia and Ib are separated by a distance d. Write the magnitude and direction of the magnetic field produced by the conductor 'a' at the points along the conductor 'b'. If the currents are flowing in the same direction, what is the nature and magnitude of the force between the two conductors?
and ```vecE` and `vecB`denote electric and magnetic fields in a frame S and `vecE`→ and `vecB` in another frame S' moving with respect to S at a velocity `vecV` Two of the following equations are wrong. Identify them.
(a) `B_y^, = B_y + (vE_z)/c^2`
(b) `E_y^' = E_y - (vB_z)/(c^2)`
`(c) Ey = By + vE_z`
`(d) E_y = E_y + vB_z`
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).
A copper wire of diameter 1.6 mm carries a current of 20 A. Find the maximum magnitude of the magnetic field `vecB` due to this current.
A long, straight wire carrying a current of 1.0 A is placed horizontally in a uniform magnetic field B = 1.0 × 10−5 T pointing vertically upward figure. Find the magnitude of the resultant magnetic field at the points P and Q, both situated at a distance of 2.0 cm from the wire in the same horizontal plane.
A straight, how wire carries a current of 20 A. Another wire carrying equal current is placed parallel to it. If the force acting on a length of 10 cm of the second wire is 2.0 × 10−5 N, what is the separation between them?
Three infinitely long parallel straight current-carrying wires A, B and C are kept at equal distance from each other as shown in the figure. The wire C experiences net force F. The net force on wire C, when the current in wire A is reversed will be ______.
