If a long straight wire carries a current I, what is the magnetic field at a distance r from the wire according to Ampere's Law?

1 question

1 item

Q: If a long straight wire carries a current I, what is the magnetic field at a distance r from the wire according to Ampere's Law?

Solution: Using Ampere's Law, the magnetic field B at a distance r from a long straight wire carrying current I is given by B = μ₀I/(2πr).

Steps: 6

Step 1: Understand that a long straight wire carrying current creates a magnetic field around it.
Step 2: Know that Ampere's Law helps us calculate the magnetic field created by the current in the wire.
Step 3: Identify the variables: I is the current in the wire, r is the distance from the wire where we want to find the magnetic field.
Step 4: Recall the formula from Ampere's Law for the magnetic field B around a long straight wire: B = μ₀I/(2πr).
Step 5: Recognize that μ₀ is a constant called the permeability of free space, which helps in calculating the magnetic field.
Step 6: Plug in the values of I (current) and r (distance) into the formula to find the magnetic field B.