Biot-Savart Law (Calculus) Video Lessons

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Problem: The wire shown in the figure (Figure 1) is infinitely long and carries a current.A. Calculate the magnitude of the magnetic field that this current produces at point P.B. Find the direction of the magnetic field that this current produces at point P.

FREE Expert Solution

From Biot-Savart Law:

dBhorizontal=(μ04π)(idl×r^r2)=μ04πidlsinθr2

The magnetic field due to the infinite current-carrying wire is:

B=μ0i2πr

A.

For the horizontal wire, θ = 0°

Since sin(0°) = 0

dBhorizontal = 0

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Problem Details

The wire shown in the figure (Figure 1) is infinitely long and carries a current.

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A. Calculate the magnitude of the magnetic field that this current produces at point P.

B. Find the direction of the magnetic field that this current produces at point P.

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Based on our data, we think this problem is relevant for Professor Jerousek's class at UCF.