All Problems

Constant Magnetic Field, Magnetics

Problem 3.253

A copper wire with cross-sectional area S=2.5 mm2S=2.5 \mathrm{~mm}^{2} bent to make three sides of a square can turn about a horizontal axis OOO O^{\prime} (Fig. 3.69). The wire is located in uniform vertical magnetic field. Find the magnetic induction if on passing a current I=16 AI=16 \mathrm{~A} through the wire the latter deflects by an angle θ=20\theta=20^{\circ}

Reveal Answer
B=(2ρgS/I)tanθ=10mTB=(2 \rho g S / I) \tan \theta=10 \mathrm{mT}