# Magnetic field of a circular loop of wire

by tjkubo
Tags: circular, field, loop, magnetic, wire
 P: 40 1. The problem statement, all variables and given/known data I know how to find the magnetic field at the center of a circular loop of wire carrying current. If the radius of the loop is R, how do you find the magnetic field at a distance a from the center of the loop where a
 HW Helper P: 1,495 First thing you want to do is draw a picture and realise this is a highly symmetric problem. From symmetry you can determine the direction of $\boldsymbol{B}$, draw this vector. Then draw the x and y components. Due to symmetry can you tell what the magnitude of $B_y$ will be? Can you express $B_x$ in terms of B? Why do you think the angle between $d\boldsymbol{s}$ and $\mathbf{\hat r}$ changes? It does not. So $d\boldsymbol{s} \times \mathbf{\hat r}=ds$. How does the distance r from the loop to a depend on known variables and does the magnitude of B vary when you rotate over the angle $\phi$? Try to enter all information into the Bio Savart law now.

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