Question

When \(dB_x\) is integrated around the entire loop, what does the sum of all the \(dl\) segments equal?

Options

• The loop's circumference, \(2\pi R\)

• The loop's area, \(\pi R^2\)

• The loop's diameter, \(2R\)

• The loop's circumference, \(\pi R\)

Answer 1

Adding all the small wire lengths \(dl\) around the loop gives its full circumference. For radius \(R\), this total length is \(2\pi R\).