How many time constants must elapse if an initially charged capacitor is to discharge 90% of its stored energy through a resistor?
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A: a)q=cv0(1-e-tR1C)t=51sq=6.4×10-6×121-e-515×106×6.4×10-6=61×10-6C
How many time constants must elapse if an initially charged capacitor is to discharge 90% of its stored energy through a resistor?
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- -/1 Points] DETAILS SERCP10 18.P.035. A charged capacitor is connected to a resistor and a switch as in the figure below. The circuit has a time constant of 2.50 s. Soon after the switch is closed, the charge on the capacitor is 81.0% of its initial charge. +Q www R (a) Find the time interval required for the capacitor to reach this charge. S (b) If R= 200 kn, what is the value of C? UFIn many keyboards, the key switches are built as air-filled parallel-plate capacitors with a spacing that decreases when the key is pressed. This change in spacing increases the capacitance, which connected circuitry registers as a keypress. Suppose the plate area on a key is 44.8 mm2 and the unpressed plate separation is 0.63 mm. If the circuitry registers a keypress when the capacitance changes by 0.476 pF, calculate the distance (in mm) the key must travel to register a keypress.(III) A thin oil slick (n, = 1.50) floats on water (nw = 1.33). When a beam of white light strikes this film at normal incidence from air, the only enhanced reflected colors are red (650 nm) and violet (390 nm). From this information, deduce the (minimum) thickness t of the oil slick.
- Consider the circuit shown in the figure. Before the two capacitors were inserted into the circuit, they were fully charged by a 23.0 V battery. Imagine that the switch is now closed. 3.00 pF 2.00 pF HE W 500 Ω (a) After a time interval of 2.00 ms, what is the value of the remaining charge (in μC) on the 3.00 μF capacitor? μC (b) After a time interval of 2.00 ms, what is the value of the remaining charge (in μC) on the 2.00 μF capacitor? με (c) What is the current (in mA) in the resistor at this time? mAA circuit contains a single 220-pF capacitor hooked across a battery. It is desired to store four times as much energy in a combination of two capacitors by adding a single capacitor to this one. What would its value be?An RC circuit has a 11 F capacitor and a 0.5 ogm resistor. If the initial charge stored on the capacitor is 20 C then at what time will the charge be 2.5 C?
- Consider an initially uncharged capacitor in an RC circuit. The resistance is 20,000 Ohms and the capacitance is 500 x10• F. If the source potential being used to charge the capacitor is 15 V, how long after charging begins will the power delivered to the resistor be 25 % of its maximum value?The figure below shows how a bleeder resistor (R = 250 kΩ) is used to discharge a capacitor (C = 90.0 µF) after an electronic device is shut off, allowing a person to work on the electronics with less risk of shock. (a) What is the time constant? _______s (b) How long will it take to reduce the voltage on the capacitor to 0.100% of its full value once discharge begins? _______s (c) If the capacitor is charged to a voltage V0 through a 150 Ω resistance, calculate the time it takes to rise to 0.865V0 (this is about two time constants). _______sA 10.0 μF capacitor is charged to 50.0 V and is then connected across a 460 Ω resistor only. What is the voltage across the resistor after 7.60 ms?
- In the circuit shown in the figure, the S switch closed at t=0 and the capacitors, which are completely empty, begin to fill. Here ε=10 V, C=5 μF and R=55 Ω. What is the time constant of the circuit, τ, in units of microseconds? When t= τ, what is the total charge, in units of microcoulomb, accumulated in the capacitors?A fully charged capacitor with a voltage of 120 V is discharged through a resistor. (a) What is the voltage across the capacitor at the end of five time constants?(b) At this time, what is the voltage across the resistor?Two capacitors are connected in series and a source voltage of 75 Volts is applied across the entire series configuration. If the resistors have values 120 and 50 micro- Farads, how much charge is on the 120 μF capacitor? Express your answer in micro- Coulombs (C).