Answer :
The force between the wires is 1*10⁻⁷T.
What is ampere?
The rate at which electrons flow or current flows across an electrical conductor is measured in amperes. An electrical charge of one coulomb (6.24 x 1018 charge carriers) per second that passes a particular place is represented by one ampere of current.
What is force?
A mass-containing object's change in velocity is referred to as a force when a push or pull is applied to it. A body can change its state of rest or motion when an external force acts on it. It is directed and has a magnitude.
The concepts required to solve the given problem is magnetic field due to a current carrying wire and force on a current carrying wire due to magnetic field.
Initially, determine the magnetic field at one wire due to other wire by using expression magnetic field due to a current carrying wire. Then, determine the force on the wire by using magnetic field, length of the wire and current in the wire.
The current carrying wire creates a magnetic field around the wire and the direction of magnetic field around the wire is known by using right hand rule.
The magnitude of magnetic field B due to a current carrying wire at distance r from the wire is given by following expression.
B=Here, I is the current, and μ₀ I/2πr
Here, I is the current, and
μ₀is the permeability.
The magnetic force F on a current carrying wire is given by following expression.
F= BIL
Here, L is the length of the wire.
Step: 1
The magnitude of magnetic field B due to a current carrying wire at distance r from the wire is given by following expression.
B= μ₀ I/2πr
Substitute 1.0 A for I, 2.0 for r, and
4πr*10⁻⁷ H/m
for μ₀ in the above equation.
B= (4πr*10⁻⁷ H/m) (1.0A)/2πr(2.0m)
=1*10⁻⁷T
Explanation:
The direction of magnetic force on each wire is depends on the direction of current in the each wire. If the current direction of current is same in both wires then force is attractive and repulsive if the direction of current is opposite in both wires.
Therefore, force between the wires is 1*10⁻⁷T.
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