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
How does one understand this motional emf by invoking the Lorentz force acting on the free charge carriers of the conductor? Explain.
What is the magnitude of magnetic force per unit length on a wire carrying a current of 8 A and making an angle of 30° with the direction of a uniform magnetic field of 0.15 T?
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?
Two long, straight wires, each carrying a current of 5 A, are placed along the x- and y-axis respectively. The currents point along the positive directions of the axes. Find the magnetic fields at the points (a) (1 m, 1 m), (b) (−1 m, 1 m), (c) (−1 m, −1 m) and (d) (1 m, −1 m).
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?
If a current I is flowing in a straight wire parallel to x-axis and magnetic field is there in the y-axis then, ______.
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 ______
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.
