What is the magnetic field inside a long, straight solenoid carrying current?
Practice Questions
1 question
Q1
What is the magnetic field inside a long, straight solenoid carrying current?
Zero
Uniform and parallel to the axis
Varies with distance
Concentric circles
The magnetic field inside a long, straight solenoid is uniform and parallel to the axis of the solenoid, given by B = μ₀nI, where n is the number of turns per unit length.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the magnetic field inside a long, straight solenoid carrying current?
Solution: The magnetic field inside a long, straight solenoid is uniform and parallel to the axis of the solenoid, given by B = μ₀nI, where n is the number of turns per unit length.
Steps: 7
Step 1: Understand what a solenoid is. A solenoid is a long coil of wire that creates a magnetic field when an electric current passes through it.
Step 2: Know that when current flows through the solenoid, it generates a magnetic field inside and around it.
Step 3: Recognize that the magnetic field inside a long solenoid is uniform, meaning it has the same strength and direction at every point inside.
Step 4: Identify the direction of the magnetic field. It runs parallel to the axis of the solenoid, which is the center line running through its length.
Step 5: Learn the formula for calculating the magnetic field inside the solenoid: B = μ₀nI.
Step 6: Understand the variables in the formula: B is the magnetic field strength, μ₀ is the permeability of free space (a constant), n is the number of turns of wire per unit length of the solenoid, and I is the current flowing through the wire.
Step 7: Conclude that the magnetic field strength depends on how tightly the wire is wound (n) and how much current (I) is flowing through it.
