Experiments to study vision often need to track the movements of a subject's eye. One way of doing so is to have the subject sit in a magnetic field while wearing special contact lenses with a coil of very fine wire circling the edge. A current is induced in the coil each time the subject rotates his eye. Consider the experiment shown in which a 20-turn, 6.0-mm-diameter coil of wire circles the subject's cornea while a 1.0T magnetic field is directed as shown. The subject begins by looking straight ahead. What emf voltage is induced in the coil if the subject shifts his gaze by 5.5° in 0.20s? B
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- Lorentz’s Law relates the quantity of charge, the magnetic field strength, and velocity of the charge to the _______________on the charge moving through the field. Faraday’s Law states that the faster the flux through a loop increases or decreases, the larger the _______________ developed across the loop. Unlike the field lines of electric charges which leave the + charge and can go on forever, not returning to a – charge, magnetic field lines must terminate at the _______________ pole of the magnet. The term B·AsinΘ calculates what quantity? ____________________ Lenz’s Law is states that when a magnetic field changes (increases or decreases) and cuts across a wire coil, an emf will be induced to ____________________ the change.In 1832 Faraday proposed that the apparatus shown in Figure P31.28 could be used to generate electric cur- rent from the water flowing in the Thames River.“ Two conducting plates of lengths a and widths b are placed facing each other on opposite sides of the river, a dis- tance w apart, and are immersed entirely. The flow ve- locity of the river is v and the vertical component of the Earth's magnetic field is B. (a) Show that the current in the load resistor R is abvB I= p + abR/w where p is the electrical resistivity of the water. (b) Cal- culate the short-circuit current (R = 0) if a = 100 m, b = 5.00 m, v = 3.00 m/s, B = 50.0 µT, and p = 100 N·m.A 0.220–A current is charging a capacitor that has circular plates 10.1 cm in radius. The plate separation is 4.00 mm. (a) What is the time rate of increase of electric field between the plates? V/(m·s)(b) What is the magnetic field between the plates 5.00 cm from the center? T
- QB2d. Calculate the EMF induced in the railway carriage wheel of radius R=840 mm by the magnetic field of the Earth. Consider that the magnetic field of the Earth makes an angle of 71.5 deg with the horizontal surface of the railway track. Take the speed of the carriage to be v = = 158 km h¹ and the value of the magnetic field of the Earth B = 10-5 T. Provide your answer in microvolts (10-6 V=1 μV): for example, if you calculated the value to be 0.000075 V, then enter 75 as your answer. Enter your answer in the box below.Consider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is 2.60 x 10³ V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of 0.0400 T. Calculate the radius of the path for a singly charged ion having a mass m = 1.82 x 10-26 kg. Bo, in P m Detector array *** xx x x x xxxx x Velocity selector + x x x₂ x² x² x/ xConsider the Hall voltage induced on a patient’s heart while being scanned by an MRI unit. l = 8.5 cmv = 7.5 cm/s Approximate the conducting path on the heart wall by a wire 8.5 cm long that moves at 7.5 cm/s perpendicular to a 1.50 T magnetic field. Find the Hall voltage across the patient's heart in mV.
- A particle passes through a mass spectrometer as illustrated in the figure below. The electric field between the plates of the velocity selector has a magnitude of 8060 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.0920 T. In the deflection chamber the particle strikes a photographic plate 39.6 cm removed from its exit point after traveling in a semicircle. The diagram depicts a velocity selector. The plane of the page is filled with symmetrically arranged crosses labeled vector B0, in above a horizontal plate, and vector Bin below the horizontal plate. Below the horizontal plate, two vertical plates are placed parallel to each other in the right position of the field. The left plate is positively charged and the right plate is negatively charged. The electric field vector E points from the positive plate to the right toward the negative plate. A positively charged particle of charge q and velocity vector v pointing upward…A mass spectrometer is constructed using a velocity selector feeding a chamber of uniform magnetic field, B_ch. The velocity selector is itself constructed using a parallel plate capacitor in a uniform magnetic field, B_in. The electric field in the selector is 7.10 kV/m and the magnetic field is B_in=8.10T.The mass of the ions passing through the exit slit can be found by measuring the distance between the entrance and exit slits. The magnetic field in the circular motion chamber is B_ch=6.33T. What is the radius (in mm) for an ion of mass 6.61e-26 kg and a charge of +e (1.6e-19C)?