The level of liquid helium (temperature ≤ 4 K) in its storage lank can be monitored using a vertically aligned niobium–titanium (NbTi) wire, whose length ℓ spans the height of the tank. In this level-sensing setup, an electronic circuit maintains a constant electrical current I at all times in the NbTi wire and a voltmeter monitors the voltage difference V across this wire. Since the superconducting transition temperature for NbTi is 10 K, the portion of the wire immersed in the liquid helium is in the superconducting state, while the portion above the liquid (in helium vapor with temperature above 10 K) is in the normal state. Define f = x /ℓ to be the fraction of the tank filled with liquid helium (Fig. 25–40) and V 0 to be the value of V when the lank is empty ( f = 0). Determine the relation between f and V (in terms of V 0 ). FIGURE 25–40 Problem 95.
The level of liquid helium (temperature ≤ 4 K) in its storage lank can be monitored using a vertically aligned niobium–titanium (NbTi) wire, whose length ℓ spans the height of the tank. In this level-sensing setup, an electronic circuit maintains a constant electrical current I at all times in the NbTi wire and a voltmeter monitors the voltage difference V across this wire. Since the superconducting transition temperature for NbTi is 10 K, the portion of the wire immersed in the liquid helium is in the superconducting state, while the portion above the liquid (in helium vapor with temperature above 10 K) is in the normal state. Define f = x /ℓ to be the fraction of the tank filled with liquid helium (Fig. 25–40) and V 0 to be the value of V when the lank is empty ( f = 0). Determine the relation between f and V (in terms of V 0 ). FIGURE 25–40 Problem 95.
The level of liquid helium (temperature ≤ 4 K) in its storage lank can be monitored using a vertically aligned niobium–titanium (NbTi) wire, whose length ℓ spans the height of the tank. In this level-sensing setup, an electronic circuit maintains a constant electrical currentI at all times in the NbTi wire and a voltmeter monitors the voltage difference V across this wire. Since the superconducting transition temperature for NbTi is 10 K, the portion of the wire immersed in the liquid helium is in the superconducting state, while the portion above the liquid (in helium vapor with temperature above 10 K) is in the normal state. Define f = x/ℓ to be the fraction of the tank filled with liquid helium (Fig. 25–40) and V0 to be the value of V when the lank is empty (f = 0). Determine the relation between f and V (in terms of V0).
In Figure, suppose the switch has been closed for a time interval sufficiently long (steady state) for the capacitor to become fully charged. R 1 = 11 kΩ, R 2 = 13 kΩ, R 3 = 3 kΩ, C = 11 × 10 −6 F, and an ideal battery has emf ε = 13 V. Find the steady state current in resistor R 1. (Your result must be in mA's and include 3 digit after the decimal point. Maximum of 5% of error is accepted in your answer.)
Using the exact exponential treatment, find how much time (in s) is required to charge an initially uncharged 120 pF capacitor through a 67.0 MΩ resistor to 91.0% of its final voltage.
__________s
An uncharged capacitor and a resistor are connected in series to a battery as shown, where ε = 12.0 V, C = 5.00 μF, and R = 8.00 x 105 Ω. The switch is thrown to position a. Find the time constant of the circuit, the maximum charge on the capacitor, the maximum current in the circuit, and the charge and current as functions of time.
Chapter 25 Solutions
Physics For Scientists & Engineers With Modern Physics, Vol. 3 (chs 36-44) (4th Edition)
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DC Series circuits explained - The basics working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=VV6tZ3Aqfuc;License: Standard YouTube License, CC-BY