If a wire is bent into a semicircular shape, what is the magnetic field at the c
Practice Questions
Q1
If a wire is bent into a semicircular shape, what is the magnetic field at the center of the semicircle due to the current I?
μ₀I/(4R)
μ₀I/(2R)
μ₀I/(8R)
μ₀I/(6R)
Questions & Step-by-Step Solutions
If a wire is bent into a semicircular shape, what is the magnetic field at the center of the semicircle due to the current I?
Step 1: Understand that a semicircular wire is half of a full circle.
Step 2: Know that when current I flows through the wire, it creates a magnetic field around it.
Step 3: Recognize that the center of the semicircle is the point where we want to find the magnetic field.
Step 4: Use the formula for the magnetic field due to a current-carrying wire: B = μ₀I/(4R), where μ₀ is the permeability of free space and R is the radius of the semicircle.
Step 5: Identify that R is the radius of the semicircle, which is the distance from the center to the wire.
Step 6: Substitute the values of I and R into the formula to calculate the magnetic field B at the center.
