Using the exact exponential treatment, find how much time is required to discharge a 268-µF capacitor through a 498-Ω resistor down to 1.00% of its original voltage? ____ s

-/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? UF

A 6.00 μF capacitor that is initially uncharged is connected in series with a 4600 resistor and a 507 V emf source with negligible internal resistance. Part A Just after the circuit is completed, what is the voltage drop across the capacitor? Express your answer in volts. 195| ΑΣΦ Vc = Submit Part B VR = Submit Just after the circuit is completed, what is the voltage drop across the resistor? Express your answer in volts. Part C Request Answer 20 = Submit VO ΑΣΦ | Request Answer V ? Just after the circuit is completed, what is the charge on the capacitor? Express your answer in coulombs. ΑΣΦ Request Answer ? V ? V C Review | Constants

A 530-Ω resistor, an uncharged 3.40-μF capacitor, and a 4.80-V emf source are connected in series. What is the instantaneous power to the capacitor after 3 time constants? Calculate your answer in the units of milli-watts (mW). Hint: Instantaneous power is the product of instantaneous potential drop and instantaneous current. Write your answer in decimal form with three digits to the right of the decimal point (e.g. 5.389); do not write any units.

A runner travels I.5 laps around a circular track in a time of 50 s. The diameter of the track is 40 m and its circumference is 126 m. Find (a) the average speed of the runner and (b) the magnitude of the runner's average velocity. Be careful here; average speed depends on the total distance traveled, whereas average velocity depends on the displacement at the end of the particular journey.

A resistor and a capacitor are connected in series to an ideal battery of constant terminal voltage.  When the system reaches its steady state, what is the voltage across the resistor and the capacitor?

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

A 10-7-F capacitor (100 nanofarads) is charged to 100 V and then disconnected. One can model the charge leakage of the capacitor with a RC circuit with no voltage source and the resistance of the air between the capacitor plates. On a cold dry day, the resistance of the air gap is 5x1013 2; on a humid day, the resistance is 8 x 10° 2. How long will it take the capacitor voltage to dissipate to half its original value on each day?

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).