According to the Biot-Savart Law, the magnetic field dB at a point due to a current element Idl is proportional to which of the following?
Practice Questions
1 question
Q1
According to the Biot-Savart Law, the magnetic field dB at a point due to a current element Idl is proportional to which of the following?
Idl
sin(θ)
1/r^2
Both Idl and sin(θ)
The magnetic field dB is proportional to Idl and sin(θ), where θ is the angle between the current element and the line connecting the current element to the point of interest.
Questions & Step-by-step Solutions
1 item
Q
Q: According to the Biot-Savart Law, the magnetic field dB at a point due to a current element Idl is proportional to which of the following?
Solution: The magnetic field dB is proportional to Idl and sin(θ), where θ is the angle between the current element and the line connecting the current element to the point of interest.
Steps: 6
Step 1: Understand that the Biot-Savart Law describes how electric current creates a magnetic field.
Step 2: Identify the current element, which is represented as Idl (I is the current and dl is a small length of wire).
Step 3: Recognize that the magnetic field dB is created at a specific point in space due to this current element.
Step 4: Note that the strength of the magnetic field dB depends on two main factors: the current element Idl and the angle θ.
Step 5: Understand that θ is the angle between the direction of the current element and the line that connects the current element to the point where we are measuring the magnetic field.
Step 6: Conclude that the magnetic field dB is proportional to both Idl and sin(θ), which accounts for the angle's effect on the magnetic field strength.
