A 2.36- µ F capacitor that is initially uncharged is connected in series with a 5.86-Ω resistor and an emf source with ε = 120 V and negligible internal resistance, (a) Just after the connection is made, what are (i) the rate at which electrical energy is being dissipated in the resistor; (ii) the rate at which the electrical energy stored in the capacitor is increasing; (iii) the electrical power output of the source? How do the answers to parts (i), (ii), and (iii) compare? (b) Answer the same questions as in part (a) at a long time after the connection is made, (c) Answer the same questions as in part (a) at the instant when the charge on the capacitor is one-half its final value.
A 2.36- µ F capacitor that is initially uncharged is connected in series with a 5.86-Ω resistor and an emf source with ε = 120 V and negligible internal resistance, (a) Just after the connection is made, what are (i) the rate at which electrical energy is being dissipated in the resistor; (ii) the rate at which the electrical energy stored in the capacitor is increasing; (iii) the electrical power output of the source? How do the answers to parts (i), (ii), and (iii) compare? (b) Answer the same questions as in part (a) at a long time after the connection is made, (c) Answer the same questions as in part (a) at the instant when the charge on the capacitor is one-half its final value.
A 2.36-µF capacitor that is initially uncharged is connected in series with a 5.86-Ω resistor and an emf source with ε = 120 V and negligible internal resistance, (a) Just after the connection is made, what are (i) the rate at which electrical energy is being dissipated in the resistor; (ii) the rate at which the electrical energy stored in the capacitor is increasing; (iii) the electrical power output of the source? How do the answers to parts (i), (ii), and (iii) compare? (b) Answer the same questions as in part (a) at a long time after the connection is made, (c) Answer the same questions as in part (a) at the instant when the charge on the capacitor is one-half its final value.
An RC circuit includes a 2-k N resistor, a battery with emf of 12.0 V and a
capacitor. At t = 0 the switch is closed, and the charging of the capacitor begins.
Knowing that the time constant of the circuit is measured to be 1 ms calculate: (a)
the capacitance of the capacitor; (b) the time it takes for the voltage across the
resistor to reach 4 V, and (c) the charge accumulated on the capacitor during this
time interval.
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 uncharged capacitor and a resistor are connected in seriesto a source of emf. If ε = 9.00 V, C = 20.0 µF, and R = 1.00 x102 Ω, find (a) the time constant of the circuit, (b) the maximumcharge on the capacitor, and (c) the charge on thecapacitor after one time constant.
Chapter 26 Solutions
University Physics with Modern Physics, Volume 1 (Chs. 1-20) (14th Edition)
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