Force on Current carrying conductor placed in a magnetic field: Electric current produces a magnetic field similar to that the permanent magnet. Since a magnetic field exerts a force on a permanent magnet, then current carrying wire should also experience a force when it is placed in magnet field.
A battery produces a current in a wire placed inside the magnetic field of a permanent magnet. Current carrying wire produces its own field which interacts with the field of a magnet. As result the force will be exerted on wire towards left or right.
Feature of the force acting on current carrying wire: Michael Faraday discovered that the force of the wire is as right angle to both the direction of magnetic field and the direction of current. The force is increased if:
(i) the current in the wires is increased
(ii) strength of magnetic field is increased
(iii) the length of wire inside the magnetic field is increased
Finding the direction of force: the direction of forces acting on a current carrying wire conductor in a magnetic field can be founded by Fleming's left hand rule.1
Fleming's Left Hand Rule: "stretch the thumb, forefinger and the middle finger of the left hand mutually perpendicular to each other. If the forefinger points tin the direction of magnetic field, middle finger in the direction of current, the thumb would indicate the direction of force acting on the conductor".