Question

find the magnitude of magnetic field at point p due to semi-infinite wire given below

Answer 1

\frac{{\mu_0 I}}{{4\pi d}}

Answer 2

The magnetic field due to a semi-infinite straight wire at a point P located at a perpendicular distance 'd' from one end of the wire is derived using the Biot-Savart law or the general formula for a finite wire. For a semi-infinite wire, one end is considered to be at the point from which the perpendicular distance 'd' is measured (angle $\theta_1 = 0^\circ$), and the other end is at infinity (angle $\theta_2 = 90^\circ$). Substituting these angles into the formula $B = \frac{{\mu_0 I}}{{4\pi d}} (\sin \theta_1 + \sin \theta_2)$ yields $B = \frac{{\mu_0 I}}{{4\pi d}}$.