459. Problem 35.13 (RHK) A wire carrying current
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Solution: Click For PDF Version Let the wire sections carrying current
Using the Biot-Savart law we will calculate the magnetic field at the point P by the three sections of the current carrying wire. We will first calculate the magnetic field at P due to the semi-infinite length section shown in the following figure. Let us write the field due to the element as
And We calculate next the integral
Making the substitution we have Therefore, Similarly, the magnetic field at P due to the other semi-infinite wire
carrying current
We next calculate the magnetic field at P due to the circular arc subtending
an angle
From the Biot-Savart law As the radial direction is perpendicular to the tangent at the circumference, The magnetic field at P due to the arc of angle
The magnetic field at P due all the three sections of the wire carrying
current
For
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