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Chapter 22: Q45PE (page 813)
Since the equation for torque on a current-carrying loop is , the units of must equal units of . Verify this.
Yeah our verification affirms that
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Suppose two long straight wires run perpendicular to one another without touching. Does one exert a net force on the other? If so, what is its direction? Does one exert a net torque on the other? If so, what is its direction? Justify your responses by using the right hand rules.
(a) Viewers of Star Trek hear of an antimatter drive on the Starship Enterprise. One possibility for such a futuristic energy source is to store antimatter-charged particles in a vacuum chamber, circulating in a magnetic field, and then extract them as needed. Antimatter annihilates with normal matter, producing pure energy. What strength magnetic field is needed to hold antiprotons, moving at\({\rm{5}}{\rm{.00 \times 1}}{{\rm{0}}^{\rm{7}}}{\rm{ m/s}}\)in a circular path\({\rm{2}}{\rm{.00 m}}\)in radius? Antiprotons have the same mass as protons but the opposite (negative) charge. (b) Is this field strength obtainable with today’s technology or is it a futuristic possibility?
Measurements of the weak and fluctuating magnetic fields associated with brain activity are called magnetoencephalograms (MEGs). Do the brain’s magnetic fields imply coordinated or uncoordinated nerve impulses? Explain.
A velocity selector in a mass spectrometer uses a \({\rm{0}}{\rm{.100 - T}}\) magnetic field. (a) What electric field strength is needed to select a speed of \({\rm{4}}{\rm{.00 \times 1}}{{\rm{0}}^{\rm{6}}}{\rm{ m/s ?}}\) (b) What is the voltage between the plates if they are separated by\({\rm{1}}{\rm{.00 cm}}\)?
Make a drawing and use RHR-2 to find the direction of the magnetic field of a current loop in a motor (such as in Figure 22.34). Then show that the direction of the torque on the loop is the same as produced by like poles repelling and unlike poles attracting.
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