A 530-0 resistor, an uncharged 1.50-µF capacitor, and a battery with an emf of 6.17 V are connected in series. (a) What is the initial current? mA (b) What is the RC time constant? S (c) What is the current after one time constant? MA (d) What is the voltage on the capacitor after one time constant? V
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- The duration of a photographic flash is related to an RC time constant, which is 0.100F for a certain camera, (a) If the resistance of the flash lamp is 0.0400 duringdischarge, what is the size of the capacitor supplying its energy? (b) What is the time constant for charging the capacitor, if the charging resistance is 800 k ?A 12.0-V emf automobile battery has a terminal voltage of 16.0 V when being charged by a current of 10.0 A. (a) What is the battery’s internal resistance? (b) What power is dissipated inside the battery? (c) At what rate (in °C/min ) will its temperature increase if its mass is 20.0 kg and it has a specific heat of 0.300 kcal/kg • °C, assuming no heat escapes?At time t = 0, an RC circuit consists of a 19.5-V emf device, a 68.0-Ω resistor, and a 156.0-µF capacitor that is fully charged. The switch is thrown so that the capacitor begins to discharge. (a) What is the time constant ? of this circuit? s(b) How much charge is stored by the capacitor at t = 0.5?, 2?, and 4?? q(t = 0.5?) = µC q(t = 2?) = µC q(t = 4?) = µC
- An ECG monitor must have an RC time constant less than 1.00 × 102 μs so it can measure variations in voltage over small time intervals. If the resistance of the circuit (due mostly to that of the patient’s chest) is 0.85 kΩ, what is the maximum capacitance of the circuit in F?A homemade capacitor is constructed of 2 sheets of aluminum foil with an area of 2.00 square meters, separated by paper, 0.05 mm thick, of the same area and a dielectric constant of 3.7. The homemade capacitor is connected in series with a 100.00-Ω resistor, a switch, and a 6.00-V voltage source. (a) What is the RC time constant of the circuit? (b) What is the initial current through the circuit, when the switch is closed? (c) How long does it take the current to reach one third of its initial value?The duration of a photographic flash is related to an RC time constant, which is 0.12 us during the flash discharge for a certain camera. td = 0.12 us R = 0.048 ohm (a) If the resistance of the flash lamp is 0.048 ohm during discharge, what is the size of the capacitor supplying its energy in uF? (b) What is the time constant for charging the capacitor, if the charging resistance is 800.0 kOhm in s?
- A heart defibrillator being used on a pation has an RC time constant of 15 ms due to the resistance of the patient and the capacitance of the defibrillator. If the defibrillator has a 9.5 uF capacitance, what is the resistance of the path through the patient? If the initial voltage is 12.0 kV, how long does it take to decline to 843 V?A heart defibrillator being used on a patient has an RC time constant of 10.5 ms due to the resistance of the patient's body and the capacitance of the defibrillator. If the initial voltage is 14 kV, how long does it take to decline to 6.00 × 102 V in ms?An RC (resistor + capacitor) circuit will have an exponential voltage response of the form v(t) = A + B e -t/RC where A and B are constants that express the final voltage and the difference between the initial voltage and the final voltage, respectively. Given R = 10 kΩ and C = 0.1 µF, a starting voltage of 5 Volts and an ending voltage of 0 Volts, what will the voltage be at t = 1 ms? At what time will the voltage be 0.5 Volts?
- A capacitor that is initially uncharged is connected in series with a resistor and an emf source with EEEMF = 110 VV and negligible internal resistance. Just after the circuit is completed, the current through the resistor is 6.6×10−5 AA. The time constant for the circuit is 4.3 s.What is the resistance of the resistor?The figure shows how a bleeder resistor is used to discharge a capacitor after an electronic device is shut off, allowing a person to work on the electronics with less risk of shock. The resistor has a resistance of 284 kΩΩ. (a) What is the time constant? s ( ± 0.1 s) (b) How long will it take to reduce the voltage on the capacitor to 1.0% of its full value once discharge begins? s ( ± 1 s) (c) If the capacitor is charged to a voltage ?0V0 through a 109 ΩΩ resistance, calculate the time it takes to rise to 0.9?0V0 (This is close to two time constants, but you should calculate it precisely.) ms ( ± 0.1 ms)At time t = 0, an RC circuit consists of a 14.0-V emf device, a 54.0-Ω resistor, and a 148.0-µF capacitor that is fully charged. The switch is thrown so that the capacitor begins to discharge. Time constant of the circuit is 0.007992s How much charge is stored by the capacitor at t = 0.5?, 2?, and 4??