Two long current-carrying wires run parallel to each other and are separated by a distance of 4.00 cm. If the current in one wire is 1.50 A and the current in the other wire is 3.15 A running in the opposite direction, determine the magnitude and direction of the force per unit length the wires exert on each other.

The magnitude of force per unit length the wires exert on each other is 2.36 × 10^-5 N/m.

Since the wires carry currents running in the opposite direction, the force is therefore repulsive.

Explanation: Please see the attachments below

The magnitude of the force F =

The direction of the force is in opposite direction.

Explanation:

The expression for force per unit length between two parallel wires carrying current and can be written as:

permeability constant =

a = distance between the wires = 4.00 cm = 0.04 cm

replacing our values into the above equation; we have:

Hence, If the current flows in the same direction, then , the force is said to be attractive (+ve) . However, if the direction of the current flow is opposite; then the force is said to be repulsive (-ve).

From the question given, the current flows in opposite direction in the wires, thus the force is said to be repulsive.

Thus ; F =

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

hope this !