Question
The capacitor in the figure below is originally uncharged. The switch starts in the open position and is then flipped to position 1 for 0.600 s. After the 0.600-s time period has elapsed, the switch is then flipped to position 2 and allowed to remain in that position; the switch is a "make-before-break" switch, so that there is no big spark when the switch is moved from position 1 to position 2. The EMF of the ideal battery is 59.0 V, R = 31.0 ohms, C = 19.0 %u03BCF, and L = 14.0 mH.
The capacitor in the figure below is originally uncharged. The switch starts in the open position and is then flipped to position 1 for 0.600 s. After the 0.600-s time period has elapsed, the switch is then flipped to position 2 and allowed to remain in that position; the switch is a "make-before-break" switch, so that there is no big spark when the switch is moved from position 1 to position 2. The EMF of the ideal battery is 59.0 V, R = 31.0 ohms, C = 19.0 %u03BCF, and L = 14.0 mH. With the switch in position 1, what is the time constant of the circuit? The switch was left in position 1 for 0.600 s; how many time constants is this? After only 15 time constants, what would be the absolute value of the percent difference between the current through the battery and the asymptotic value of the current through the battery (i.e. when t = infinity)? HINT: divide the difference between the two values by the asymptotic value and convert to percent. Assuming that the resistance r is small enough to ignore, what will be the angular frequency for sinusoidal oscillations of current and separated charge in the circuit after the switch has been thrown to position 2? After the switch is thrown to position 2, what is the upper limit for the amount of charge that could possibly be separated by the capacitor? Assuming that the resistance r is small enough to ignore, what is the current in the inductor at the instant of time which is 5.1849 times 10-4 seconds after the switch has been moved to position 2? Assume that a positive current flows left-to-right through the ammeter in the figure. At this same instant of time, which end of the inductor is at the higher value of potential? Assuming that the resistance r is small enough to ignore, what is the charge on the right-hand plate of the capacitor at the instant of time which is 5.1849 times 10-4 seconds after the switch has been moved to position 2? Assuming that the resistance r is small enough to ignore, what is the energy stored in the inductor at the same instant of time as for parts (f) and (g)? Assuming that the resistance r is small enough to ignore, what is the energy stored in the capacitor at the same instant of time as for parts (f) and (g)? Even if the resistance r is very small, how much electrical energy will eventually be dissipated in it? Assuming that the resistance r is small enough to ignore, what is the first instant in time after the switch has been thrown to position 2 for which the voltage across the inductor will be zero?
Explanation / Answer
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