Chapter 27: Problem 11
It takes work to push two bar magnets together with like poles facing. Where does this energy go?
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Chapter 27: Problem 11
It takes work to push two bar magnets together with like poles facing. Where does this energy go?
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A circular wire loop \(45 \mathrm{cm}\) in diameter has resistance \(120 \Omega\) and lies in a horizontal plane. A uniform magnetic field points vertically downward, and in 25 ms it increases linearly from \(5.0 \mathrm{mT}\) to \(55 \mathrm{mT.}\) Find the magnetic flux through the loop at (a) the beginning and (b) the end of the 25 -ms period. (c) What's the loop current during this time? (d) Which way does this current flow?
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A magnetic field is given by \(\vec{B}=B_{0}\left(x / x_{0}\right)^{2} \hat{k},\) where \(B_{0}\) and \(x_{0}\) are constants. Find an expression for the magnetic flux through a square of side \(2 x_{0}\) that lies in the \(x\) -y plane with one corner at the origin and sides coinciding with the positive \(x\) - and \(y\) -axes.
A stent is a cylindrical tube, often made of metal mesh, that's inserted into a blood vessel to overcome a constriction. It's sometimes necessary to heat the stent after insertion to prevent cell growth that could cause the constriction to recur. One method is to place the patient in a changing magnetic field, so that induced currents heat the stent. Consider a stainless- steel stent \(12 \mathrm{mm}\) long by \(4.5 \mathrm{mm}\) in diameter, with total resistance \(41 \mathrm{m} \Omega .\) Treating the stent as a wire loop in the optimum orientation, find the rate of change of magnetic field needed for a heating power of \(250 \mathrm{mW}.\)
A 5 -turn coil \(1.0 \mathrm{~cm}\) in diameter is rotated at \(10 \mathrm{rev} / \mathrm{s}\) about an axis perpendicular to a uniform magnetic field. A voltmeter connected to the coil through rotating contacts reads a peak value \(360 \mu \mathrm{V}\). What's the magnetic-field strength?
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