What is the magnetic field strength at a distance of 0.1 m from a long straight

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Question: What is the magnetic field strength at a distance of 0.1 m from a long straight wire carrying a current of 5 A?

Options:

Correct Answer: 0.01 T

Solution:

Using the formula B = (μ0 * I) / (2 * π * r), where μ0 = 4π x 10^-7 T m/A, B = (4π x 10^-7 * 5) / (2 * π * 0.1) = 0.01 T.

What is the magnetic field strength at a distance of 0.1 m from a long straight wire carrying a current of 5 A?

What is the magnetic field strength at a distance of 0.1 m from a long straight wire carrying a current of 5 A?

Step 1: Identify the formula to calculate the magnetic field strength (B) around a long straight wire. The formula is B = (μ0 * I) / (2 * π * r).
Step 2: Determine the values needed for the formula. Here, μ0 (the permeability of free space) is 4π x 10^-7 T m/A, I (the current) is 5 A, and r (the distance from the wire) is 0.1 m.
Step 3: Substitute the values into the formula. Replace μ0 with 4π x 10^-7, I with 5, and r with 0.1.
Step 4: Calculate the numerator: 4π x 10^-7 * 5.
Step 5: Calculate the denominator: 2 * π * 0.1.
Step 6: Divide the result from Step 4 by the result from Step 5 to find B.
Step 7: The final result is B = 0.01 T.

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