Write an expression for force per unit length between two long current carrying wires, kept parallel to each other, in vacuum and hence define an ampere, the SI unit of current

Name and define the SI unit of current.

Derive the expression for force per unit length between two long straight parallel current carrying conductors. Hence define one ampere.

The force between two parallel current carrying wires is independent of

If two straight current carrying wires are kept perpendicular to each other almost touching then the wires

Derive an expression for the force between two long parallel current carrying conductors. Use this expression to define SI unit of current.

How much force per unit length acts on a long current carrying conductor X due to a current flowing through another similar conductor Y, kept parallel to it in vacuum ? Use this equation to define an ampere, the fundamental unit of current.

(a) Derive an expression for the force between two long parallel current carrying conductors . (b) Use this expression to define S.I. unit of current . (c) A long straight wire AB carries a current I.A proton P travels with a speed v , parallel to the wire , at a distance d from it in a direction opposite to the current as shown in the figure . What is the force experienced by the proton and what is its direction ?

Figure below shows two infinitely long and thin current carrying conductors X and Y kept in vacuum, parallel to each other, at a distance .a.. (i) How much force per unit length acts on the conductor y due to the current flowing through X ? Write your answer in terms of ((mu0)/(4pi)),I_(1),I_(2) and a. (Derivation of formula is not required.), (ii) Define ampere, in terms of force between two current carrying conductors.

The force per unit length between two parallel current carrying wires = (mu_(0)i_(1)i_(2))/(2pir) . The force is attractive when the current is in same direction and repulsive, when the they are in opposite directions. The force between the wires of two parallel wires is shown. We can determine the equilibrium position. Then we displace upper wire by a small distance, keeping lower wire fixed. If the wire returns to or tries to return to its equilibrium position, its equilibrium is stable. We can thus show that upper wire can execute linear simple harmonic motion or not. The length of wire AB is large as compared to separation between the wires. If wire CD is displaced upward to increase the separation by dh, the magnitude of net force per unit length acting on the wire CD becomes

The force per unit length between two parallel current carrying wires = (mu_(0)i_(1)i_(2))/(2pir) . The force is attractive when the current is in same direction and repulsive, when the they are in opposite directions. The force between the wires of two parallel wires is shown. We can determine the equilibrium position. Then we displace upper wire by a small distance, keeping lower wire fixed. If the wire returns to or tries to return to its equilibrium position, its equilibrium is stable. We can thus show that upper wire can execute linear simple harmonic motion or not. The length of wire AB is large as compared to separation between the wires. If lamda is mass per unit length of wire CD, then the equilibrium separation h is given by