What is the effect of increasing the radius of a circular loop carrying current on the magnetic field at its center?
Practice Questions
1 question
Q1
What is the effect of increasing the radius of a circular loop carrying current on the magnetic field at its center?
It increases the magnetic field
It decreases the magnetic field
It has no effect
It reverses the direction of the magnetic field
The magnetic field at the center of a circular loop is inversely proportional to the radius; thus, increasing the radius decreases the magnetic field.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the effect of increasing the radius of a circular loop carrying current on the magnetic field at its center?
Solution: The magnetic field at the center of a circular loop is inversely proportional to the radius; thus, increasing the radius decreases the magnetic field.
Steps: 6
Step 1: Understand that a circular loop can carry an electric current.
Step 2: Know that when current flows through the loop, it creates a magnetic field.
Step 3: Identify that the magnetic field strength at the center of the loop depends on the radius of the loop.
Step 4: Learn that the relationship between the magnetic field strength and the radius is inversely proportional.
Step 5: Realize that 'inversely proportional' means that as one value increases, the other value decreases.
Step 6: Conclude that if you increase the radius of the loop, the magnetic field strength at the center will decrease.
