What is the magnetic field strength at a distance 'r' from a long straight condu

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Question: What is the magnetic field strength at a distance \'r\' from a long straight conductor carrying current \'I\'? (2020)

Options:

Correct Answer: μ₀I/2πr

Exam Year: 2020

Solution:

The magnetic field strength (B) at a distance \'r\' from a long straight conductor is given by the formula B = μ₀I/2πr.

What is the magnetic field strength at a distance 'r' from a long straight conductor carrying current 'I'? (2020)

What is the magnetic field strength at a distance 'r' from a long straight conductor carrying current 'I'? (2020)

Step 1: Understand that we are looking for the magnetic field strength (B) created by a long straight wire carrying an electric current (I).
Step 2: Identify the distance from the wire where we want to measure the magnetic field strength, which is represented by 'r'.
Step 3: Recall the formula for calculating the magnetic field strength around a long straight conductor: B = μ₀I / (2πr).
Step 4: Recognize that μ₀ is a constant called the permeability of free space, which has a value of approximately 4π x 10^-7 T·m/A.
Step 5: Substitute the values of I (the current in amperes) and r (the distance in meters) into the formula to calculate B.
Step 6: Perform the calculation to find the magnetic field strength (B) at the specified distance 'r'.

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