Magnetic Force Between Two Parallel Current Carrying Wires, Physics & Electromagnetism

TL;DR

Calculate the magnitude and direction of the magnetic force between two wires carrying different currents.

Transcript

a current of 30 amps flows north on a 5 meter long wire and a current of 50 amps flows south on another wire that's 5 meters long and these two wires are 3 centimeters apart calculate the magnitude and direction of the magnetic force between the two wires so let's start with a picture now let's go over some basic concepts that you need to know what... Read More

Key Insights

• 🇦🇬 Magnetic force between parallel currents is attractive, while anti-parallel currents create a repulsive force.
• 🛜 The magnetic force between wires can be calculated using the formula F = μ₀i₁i₂l/2πr.
• 🏑 The direction of the current and magnetic field determine the direction of the force.
• 💐 The currents flowing in the wires and the distance between them influence the magnitude of the magnetic force.

Questions & Answers

Q: What is the direction of the magnetic force when currents are flowing parallel to each other?

When currents are parallel, they create a force of attraction between the wires, pulling them towards each other.

Q: What is the direction of the magnetic force when currents are anti-parallel?

When currents are anti-parallel, meaning they flow in opposite directions, the wires will experience a force of repulsion, causing them to move apart.

Q: How is the magnetic force calculated between the wires?

The magnetic force can be calculated using the formula F = μ₀i₁i₂l/2πr, where μ₀ is the permeability of free space, i₁ and i₂ are the currents in each wire, l is the length of the wire, and r is the distance between the wires.

Q: How can the value of the current in the second wire be determined to prevent it from falling due to gravity?

To prevent the second wire from falling, the magnetic force between the wires must equal the weight force. By setting up an equation and solving for the current in the second wire, the required current can be determined.

Summary & Key Takeaways

• A current of 30 amps flows north on a 5 meter long wire, while a current of 50 amps flows south on another wire that is 5 meters long.

• The wires are separated by a distance of 3 centimeters.

• The magnetic force between the wires can be calculated using the formula F = μ₀i₁i₂l/2πr, where F is the force, μ₀ is the permeability of free space, i₁ and i₂ are the currents, l is the length of each wire, and r is the distance between the wires.