Question

Write the expression for the magnetic field due to a current element in vector form. Consider a \(1\,\text{cm}\) segment of a wire, centered at the origin, carrying a current of \(10\,\text{A}\) in positive \(x\)-direction. Calculate the magnetic field \(\vec{B}\) at a point \((1\,\text{m},1\,\text{m},0)\).

Hint:

For numerical Biot–Savart problems: \[ d\vec B= \frac{\mu_0}{4\pi} \frac{I(d\vec l\times\vec r)}{r^3} \] is often easier to use directly because it avoids separately calculating the unit vector \(\hat r\).

Answer 1