In Figure P28.67, suppose the switch has been closed for a length of time sufficiently long for the capacitor to become fully charged. (E = 9.30 V, r, = 12 kn, and r, = 14 kn.) :10.0 µF 3.00 k2 Figure P28.67 (a) Find the steady-state current in each resistor. I, = HA I, = HA I3-kn HA (b) Find the charge Q on the capacitor. μC (c) The switch is opened at t = 0. Write an equation for the current I, in R, as a function of time. (358 µA)et/(0.170 s) (358 µA)e-t/(0.170 s) (295 µA)et/(0.170 s) (295 µA)e-t/(0.170 s) (d) Find the time that it takes for the charge on the capacitor to fall to one-fifth its initial value. ms

In Figure P28.67, suppose the switch has been closed for a length of time sufficiently long for the capacitor to become fully charged. (E = 9.30 V, r, = 12 kn, and r, = 14 kn.) :10.0 µF 3.00 k2 Figure P28.67 (a) Find the steady-state current in each resistor. I, = HA I, = HA I3-kn HA (b) Find the charge Q on the capacitor. μC (c) The switch is opened at t = 0. Write an equation for the current I, in R, as a function of time. (358 µA)et/(0.170 s) (358 µA)e-t/(0.170 s) (295 µA)et/(0.170 s) (295 µA)e-t/(0.170 s) (d) Find the time that it takes for the charge on the capacitor to fall to one-fifth its initial value. ms

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Direct-current Circuits

Section: Chapter Questions

Problem 28.38P: Consider a series RC circuit as in Figure P28.38 for which R = 1.00 M, C = 5.00 F, and = 30.0 V....

See similar textbooks

Similar questions

Taking R = 1.50 kΩ and ε = 150 V in the figure shown below, determine the magnitude and direction of the current in the horizontal wire between a and e. 17.5 mA, from e to a19.9 mA, from a to e 18.0 mA, from e to a18.9 mA, from a to e18.0 mA, from a to e19.9 mA, from e to a
Taking R = 1.00 kΩ and ε = 250 V in Figure P27.19, determine the direction andmagnitude of the current in the horizontal wire between a and e.Figure P27.19
Switch S shown in Figure P28.71 has been closed for a long lime, and the electric circuit carries a constant current. Take C1 = 3.00 μF, C2 = 6.00 μF, R1 = 4.00 kΩ, and R2 , = 7.00 kΩ. The power delivered to R2 , is 2.40 W. (a) Find the charge on C1 . (b) Now the switch is opened. After many milliseconds, by how much has the charge on C2 changed?
2) What is the drift speed of electrons in the 12-gauge wire of a certain conductor in a typical building of the UET physics lab having cross- sectional area of 3.31 um^2 and carries a uniform current of 10000.0 mA? Suppose each atom of the conductor contributes one free electron to the current, whereas the molar mass and density of the conductor is 63.5 g/mol and 8.92 g/cm^3.* Ob) 3 mf O c) 2.3 PF od) 2.1 m e) 2 UF f) 2 mF O F g) 1 m F O HINE
Kiting during a storm. The legend that Benjamin Franklin flew a kite as a storm approached is only a legend — he was neither stupid nor suicidal. Suppose a kite string of radius 2.10 mm extends directly upward by 0.802 km and is coated with a 0.520 mm layer of water having resistivity 155 Ω·m. If the potential difference between the two ends of the string is 176 MV, what is the current through the water layer? The danger is not this current but the chance that the string draws a lightning strike, which can have a current as large as 500 000 A (way beyond just being lethal).
A 13.5-microF capacitor is charged to 90.0 V, then discharged through a 95.0 ohm resistor. After discharge begins, what amount of time t1 will pass before the capacitor has lost 90.0% of its initial charge? t1= After discharge begins, what amount of time t2 will pass before the capacitor has lost 90.0% of its initial energy? t2= What is the magnitude of the current i1 through the resistor when the capacitor has lost 90.0% of its initial charge? i1= What is the magnitude of the current i2 through the resistor when the capacitor has lost 90.0% of its initial energy? i2=
Q2. To determine the galvanometer's internal resistor R. and its maximum electric current Is, corresponding to a maximum deviation of its needle, we mount it in series with a rheostat, as shown in the adjacent figure. R a b son Reosta Galvanometre When the needle makes a maximum deviation Vab = V1 = 5 V and Rr= R1 = 80 k 2. When the needle makes 1/2 maximum deviation Vab = V2 = 2 V and Rp = R2 = 60 ko. When the needle makes 44 maximum deviation Vab = V3 = 2 V and Rr = R3 . V a) Write the relationship between V1, R1, Rc and le. b) Write the relationship between V2, R2, Re and Ic. c) Write the relationship between V3, R3, Re and Ic. d) Determine the values of Re and Ic. e) Determine the value of Rs. Answer:
A spool of tungsten wire 200 m long and with a diameter of 0.360 mm is at 20.0°C. For tungsten, the resistivity is 5.60 ✕ 10−8 Ω · m and the temperature coefficient of resistivity is 4.50 ✕ 10−3 (°C)−1. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.450 A? V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.450 A? W (c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 310°C? W
Consider a copper wire with a diameter of 2.75 mm. A. What is the drift speed of the electrons in the copper wire when a current of 13.0 A flows through it? Assume that each copper atom contributes one free electron to the metal. The density of copper is 8.92 g/cm3. B. How does this drift speed compare to the random rms speed of an electron at 20.0°C? To make this comparison, determine the random rms speed of an electron at 20.0°C using the ideal gas model and find the ratio of the two speeds.
At room temperature, what is the strength of the electric field in a 12 gauge copper wire (diameter 2.05 mm) that is needed to cause a 3.90 A current to flow? Use the resistivity at room temperature for copper ρ = 1.72×10−8 Ω⋅m. Express your answer with the appropriate units. What field would be needed if the wire were made of silver instead? Use the resistivity at room temperature for silver ρ = 1.47×10−8 Ω⋅m. Express your answer with the appropriate units.
Two 3.8microF capacitors, two 2.2kohms resistors and a 16.0V source are connected in series. Starting from the uncharged state, how long does it take for the current to drop from its initial value to 1.50 mA
Consider a series RC circuit as in Figure P28.38 for which R = 1.00 M, C = 5.00 F, and = 30.0 V. Find (a) the time constant of the circuit and (b) the maximum charge on the capacitor after the switch is thrown closed. (c) Find the current in the resistor 10.0 s after the switch is closed.