Advertisements
Advertisements
प्रश्न
Derive the expression for force per unit length between two long straight parallel current carrying conductors. Hence define one ampere.
Advertisements
उत्तर
Two long parallel conductors a and b separated by a distance l and carrying currents Ia and Ib respectively are shown below.
By Ampere’s circuital law, we have
`B_a = (mu_0I_a)/(2pid)`
Conductor b will experience a sideways force because of conductor a. Let this force be Fba.
`F_(b_a) = I_bLB_a` (F =ILB)
`= (mu_0I_aI_bL)/(2pid)`
By symmetry,
Fba = − Fab
1 ampere is the value of that steady current which when maintained in each of the two very long, straight, parallel conductors of negligible cross section and placed one metre apart in vacuum, would produce on each of these conductors a force equal to 2 × 10−7 Newton per metre of length.
APPEARS IN
संबंधित प्रश्न
Two infinitely large plane thin parallel sheets having surface charge densities σ1 and σ2 (σ1 > σ2) are shown in the figure. Write the magnitudes and directions of the net fields in the regions marked II and III.
An electron is moving along the positive x-axis. You want to apply a magnetic field for a short time so that the electron may reverse its direction and move parallel to the negative x-axis. This can be done by applying the magnetic field along
(a) y-axis
(b) z-axis
(c) y-axis only
(d) z-axis only
A long, straight wire of radius R carries a current distributed uniformly over its cross section. T he magnitude of the magnetic field is
(a) maximum at the axis of the wire
(b) minimum at the axis of the wire
(c) maximum at the surface of the wire
(d) minimum at the surface of the wire.
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.
Three coplanar parallel wires, each carrying a current of 10 A along the same direction, are placed with a separation 5.0 cm between the consecutive ones. Find the magnitude of the magnetic force per unit length acting on the wires.
Answer the following question.
Two infinitely long straight wire A1 and A2 carrying currents I and 2I flowing in the same direction are kept' distance apart. Where should a third straight wire A3 carrying current 1.5 I be placed between A1 and A2 so that it experiences no net force due to A1 and A2? Does the net force acting on A3 depend on the current flowing through it?
Beams of electrons and protons move parallel to each other in the same direction. They ______.
Two long straight parallel current-carrying conductors are kept ‘a’ distant apart in the air. The direction of current in both the conductors is the same. Find the magnitude of force per unit length and the direction of the force between them. Hence define one ampere.
The force per unit length between two long parallel current-carrying conductors carrying currents I₁ and I₂, separated by a perpendicular distance d, is given by:
By symmetry, the magnetic field of conductor b exerts a force on conductor a. The relationship between the two forces Fba and Fab is:
