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Chapter 23: Q82PE (page 863)
At what frequency will an\(80.0\,{\rm{mF}}\)capacitor have a reactance of\(0.250\,{\rm{\Omega }}\)?
The frequency at which the capacitor have a reactance is obtained as, \(7.96\,{\rm{Hz}}\).
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A large power plant generates electricity at 12.0 kV. Its old transformer once converted the voltage to 335 kV. The secondary of this transformer is being replaced so that its output can be 750 kV for more efficient cross-country transmission on upgraded transmission lines.
(a) What is the ratio of turns in the new secondary compared with the old secondary?
(b) What is the ratio of new current output to old output (at 335 kV) for the same power? (c) If the upgraded transmission lines have the same resistance, what is the ratio of new line power loss to old?
Your \(RL\) circuit has a characteristic time constant of \(20.0{\rm{ }}ns\), and a resistance of \(5.00{\rm{ }}M\Omega \). (a) What is the inductance of the circuit? (b) What resistance would give you a \(1.00{\rm{ }}ns\) time constant, perhaps needed for quick response in an oscilloscope?
In the August 1992space shuttle flight, only 250 mof the conducting tether considered in Example 23.2could be let out. A 40.0 Vmotional emf was generated in the Earth's field, while moving at. What was the angle between the shuttle’s velocity and the Earth’s field, assuming the conductor was perpendicular to the field?
(a) Calculate the self-inductance of a \({\rm{50}}{\rm{.0}}\)cm long, \({\rm{10}}{\rm{.0}}\)cm diameter solenoid having \({\rm{1000}}\) loops. (b) How much energy is stored in this inductor when \({\rm{20}}{\rm{.0}}\) A of current flows through it? (c) How fast can it be turned off if the induced emf cannot exceed \({\rm{3}}{\rm{.00}}\)V?
In a recording of voltages due to brain activity (an EEG), a 10.0 mVsignal with an 0.500Hz frequency is applied to a capacitor, producing a current of 100mA. Resistance is negligible. (a) What is the capacitance? (b) What is unreasonable about this result? (c) Which assumption or premise is responsible?
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