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Chapter 26: Problem 3
A magnetic field points out of this page. Will a positively charged particle moving in the plane of the page circle clockwise or counterclockwise as viewed from above?
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The Biot-Savart law shows that the magnetic field of a current element decreases as \(1 / r^{2} .\) Could you put together a complete circuit whose field exhibits this decrease? Why or why not?
A long conducting rod of radius \(R\) carries a nonuniform current density \(J=J_{0} r / R,\) where \(J_{0}\) is a constant and \(r\) is the radial distance from the rod's axis. Find expressions for the magnetic field strength (a) inside and (b) outside the rod.
A solid conducting wire of radius \(R\) runs parallel to the \(z\) -axis and
carries a current density given by \(\vec{J}=J_{0}(1-r / R) \hat{k},\) where
\(J_{0}\) is a constant and \(r\) is the distance from the wire axis. Find
expressions for (a) the total current in the wire and (b) the magnetic field
for \(r>R\) and \((\mathrm{c}) r
If a current is passed through an unstretched spring, will the spring contract or expand? Explain.
An electric motor contains a 250 -turn circular coil \(6.2 \mathrm{cm}\) in diameter. If it develops a maximum torque of \(1.2 \mathrm{N} \cdot \mathrm{m}\) at a current of \(3.3 \mathrm{A},\) what's the magnetic field strength?
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