The magnetic field due to a straight current-carrying conductor decreases with distance from the wire. What is the relationship? (2019)
Practice Questions
1 question
Q1
The magnetic field due to a straight current-carrying conductor decreases with distance from the wire. What is the relationship? (2019)
Inversely proportional to distance
Directly proportional to distance
Inversely proportional to the square of the distance
Directly proportional to the square of the distance
The magnetic field (B) around a straight current-carrying conductor is inversely proportional to the distance (r) from the wire, given by B ∝ 1/r.
Questions & Step-by-step Solutions
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Q
Q: The magnetic field due to a straight current-carrying conductor decreases with distance from the wire. What is the relationship? (2019)
Solution: The magnetic field (B) around a straight current-carrying conductor is inversely proportional to the distance (r) from the wire, given by B ∝ 1/r.
Steps: 5
Step 1: Understand that a straight wire carrying an electric current creates a magnetic field around it.
Step 2: Recognize that the strength of this magnetic field is not constant; it changes depending on how far you are from the wire.
Step 3: Learn that the magnetic field strength (B) decreases as you move further away from the wire.
Step 4: Know that this relationship can be expressed mathematically as B is inversely proportional to the distance (r) from the wire.
Step 5: This means that if you double the distance from the wire, the magnetic field strength becomes half.
