If the radius of a circular loop carrying current is doubled, how does the magne
Practice Questions
Q1
If the radius of a circular loop carrying current is doubled, how does the magnetic field at the center change?
It doubles
It halves
It remains the same
It quadruples
Questions & Step-by-Step Solutions
If the radius of a circular loop carrying current is doubled, how does the magnetic field at the center change?
Step 1: Understand that a circular loop carries an electric current.
Step 2: Know that the magnetic field at the center of the loop depends on the radius of the loop.
Step 3: Remember that the magnetic field (B) is inversely proportional to the radius (r) of the loop. This means that as the radius increases, the magnetic field decreases.
Step 4: If the radius is doubled (made twice as big), we can say that the new radius is 2r.
Step 5: Since the magnetic field is inversely proportional to the radius, if the radius is doubled, the magnetic field becomes half of what it was before.
Step 6: Conclude that doubling the radius of the loop halves the magnetic field at the center.
