The values of the components in a simple series RC circuit containing a switch and an initially uncharged capacitor (see figure below) are C = 0.70
q = Q I(1-e^-t/RC)-------------------------------------1
where RC is called timeconstant and denoted by
T
so T = RC
similarly we get current variation as
i = io(e^-t/Rc)--------------------------------------------2
we can get the eqns of charge and current while
discharging as
q = Qe^-t/RC
-------------------------------------------------3
i = io e^-t/RC----------------------------------------------4
we can get the eqvation for Voltage
as
V = Vo(1-e^t/RC) while charging-------------------------------------5
V= voe^-t/RC while discharging-----------------------------------------6
a. Q=CV
Q = 0.7uF * n10 = 7uC
so q = Q(1-e^-t/RC)
q = 7 * (1-e^-1.3/(2.5*10^6*0.7*10^-6)
q = 3.669 uC
b. current i = io(e^-t/RC)
iintial currrnet i = 10/2.5 = 4 uA
so i = 4* e^-1.3/(2.5*0.7)
i = 1.903 uA
so power across ressitor P = i^2 R = 1.903*1.903 *10^-12 * 2.5*10^6
P = 9.053*10^-6 Watts
power acrooss capacitor = enrgy/time = 0.5qV/time = 0.5 * 3.669*10^-6 * 10/1.3 = 1.411 *10^-6 J
power P = vi = 10 * 1.903 = 19.03*10^-6
Watts
formulas required are
so the charge at time 1.3 s = Q=CV
= 0.70* 10* e^[-1.3/2.5*.70] = 3.34
b] energy diddipated in the resistor = I[t]^2 *R =0.02* 10^-6 J
2] in the capacitor = .5 C [V[t]]^2= .08*10^-6 J
3] delivered by the battery
= energy stored by the capacitor + energy lost by the resistor= .10 * 10^-6 J
The values of the components in a simple series RC circuit containing a switch and an...
A series RC circuit with C=40uF and R=6.0 Ohms has a 24 V source in it. With the capacitor initially uncharged, an open switch in the circuit is closed. At what time will the voltage across the capacitor be 18V?
Consider the RC circuit in the figure. The switch has been open for a long time and is closed at t=0s. The capacitor initially uncharged. (a) Immediately after the switch is closed, what is value of the current through each resistor? (b) After a long time has elapsed and the capacitor is fully charged, what is the value of the current through each resistor and the charge on the capacitor?
20. [10pt] A RC series circuit, with R 6.50 and C-: 7.10 μ F, is connected through a switch to a battery with an emf of 5.50 Volt (assumed to have no internal resistance). If the capacitor is initially uncharged, what will the current through the resistor be 23.08 milliseconds ater the switch is closed? 21. [10pt] The electric potential at a point located 18.90 mm from a positive charge of 5.2 C and 70 mm from a second charge...
how long did it take to charge frol Q0=0 to Q1/3=1/3Q A simple RC circuit is shown: 522 10 uF 12 V Initially the switch is open and the capacitor is uncharged.
Q2. In the RC Circuit shown in Figure 2, the capacitor is initially uncharged (at time t=0). 2- In the RC Circuit shown in Figure 2, the capacitor is initially uncharged (at time t=0). (ignore the internal resistance of the battery) Figure 2 C= 5.0nF a) Calculate the current I released by the battery, just after the switch S is closed at t=0, (7 pts) b) Calculate the max. power dissipated in the lightbulb, (9 pts) c) Now lets open...
The switch in the RC circuit shown in the diagram closes at t = 0. The emf ε = 12V, R = 10 kΩ, C = 11.88 nF. The capacitor was uncharged initially. At what time does the capacitor voltage hit 4.5 V? Express your answer up to one decimal place, and in units of microseconds. I got 55.84 microseconds as my answer...
Power in RC Circuits- RC-9 A battery with &-15.0V is connected in series with a resistor and capacitor in the circuit shown to the right. At r-0 the capacitor is uncharged and the switch is closed. a) Find the current in the circuit at t-1.00s. b) Find the rate at which the resistor is converting energy in the circuit into heat at t-1.00s. Hint: what are the units for the rate of transfer of energy? c) Find the rate at...
4. A capacitor in a single RC loop is initially uncharged. At t 0, the switch S is closed. The values of R, C, and ε are labeled on the figure below. ε 20 V What is the potential difference across the capacitor att 0.04 s? a)10V b) 12 V c) 20 V 17 V e) 5.0 V
In the RC circuit shown, switch S is initially open and the capacitor uncharged. The switch is closed and current begins to flow through the resistor. Find the time that passes before the current decays to 5% of its original value (which is the value when the switch is first thrown).
Consider a series RC circuit as in the figure below for which R = 9.00 MΩ, C = 9.00 µF, and e m f = 29.0 V. Consider a series RC circuit as in the figure below for which R = 9.00 MΩ, C = 9.00 µF, and = 29.0 V. (a) Find the time constant of the circuit. 1(No Response) s (b) Find the maximum charge on the capacitor after the switch is thrown closed. 2(No Response) µC (c)...