The magnetic field due to a straight current-carrying conductor decreases with d

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Question: The magnetic field due to a straight current-carrying conductor decreases with distance from the wire. What is the relationship? (2019)

Options:

Correct Answer: Inversely proportional to the square of the distance

Exam Year: 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.

The magnetic field due to a straight current-carrying conductor decreases with distance from the wire. What is the relationship? (2019)

The magnetic field due to a straight current-carrying conductor decreases with distance from the wire. What is the relationship? (2019)

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.

Magnetic Field of a Current-Carrying Conductor – The magnetic field generated by a straight conductor carrying an electric current decreases with increasing distance from the wire, following an inverse relationship.