In a series resistance-capacitance DC circuit, the instantaneous charge Q on the capacitor as a... In a series resistance-capacitance DC circuit, the instantaneous charge Q on the capacitor as a function of time (where t=0 is the moment the circuit is energized by closing a switch) is given by the equation Q(t)=CV(1-e-t/(RC), where C, V, and R are constants. Further, the instantaneous charging current Ic is the rate of change of charge on the capacitor, or Ic=dQ/dt
a. Find the expression for Ic as a function of time.
b. If C=10^-4 farads, R=10^8 ohms, and V=10 volts, what is the charging current after 100 seconds? (Hint: When placed into the function in part a the units can be combined into amps.)
c. If C=10^-5 farads, R=10^8 ohms, V=10 volts, what is the charging current after 100 seconds? (Hint: When placed into the function in part a the units can be combined into amps.)
In a series resistance-capacitance DC circuit, the instantaneous charge Q on the capacitor as a... In...
3 Capacitor Discharging Current The capacitor voltage versus time in a discharging series RC circuit, as shown in the Background Information Figure 2, is Vo(t) = V, expl-Roc), +20 (3) where V, is the source voltage in Volts, exp(x) is the exponential functione, Rp is the discharging resistance in Ohms (N), C is the capacitance in Farads. To = Rp is the discharging time constant in seconds. Derive an expression for the capacitor discharging current versus time, .(t), in terms...
Q 3. In an LRC series circuit, the impressed voltage Elt) and the charge q(t) on the capacitor are related to cach other hy the linear socond-order ordinary differential equation, dey + R 1 g= E(t) . T dt df where L is the inductaice. R is the resistauce and C is the capacitance. Suppose we Icasure the charge on rhe capacitor for several valnes of t and obtain 1.4 1.0 1.1 1.2 1.3 32 22 24 28 21 where...
2. A capacitor of capacitance 330 uF is connected in series with a resistance R and a 4.5 V battery via a switch. At t0, the switch is closed charging the capacitor. Figure below shows difference (AV) in the circuit as a function of time. 0.8 (a) Determine the value of R used in the circuit. 0.6 s 0.4 0.2 0.0 10.0 20.0 30.0 Time (ms) (b) Determine the energy stored in the capacitor at t 2. 3. For the...
Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an RC-series circuit is dt C Use the Laplace transform to find the charge q(t) on the capacitor in an RC-series circuit subject to the given conditions q(0) = 0, R = 2.5 Ω, C = 0.08 , E(t) given in the figure below q(t) = E(t) 3 eBook
A series circuit has a DC voltage source (42 volts), a resistor (70 ohms), a capacitor (25 farads), and a switch. The capacitor is initially uncharged and the switch closes at t=0. Sketch the exponential current and capacitor voltage: i(t)=Aexp(-t/tau) +B, and Vc(t)=Dexp(-t/tau) +F. Find: A,B,D,F,tau,i(t=tau),i(t=4tau),Vc(t=tau),and Vc(t=3tau).
A series circuit has a DC voltage source (73 volts), a resistor (95 ohms), a capacitor (91 farads), and a switch. The capacitor is initially uncharged and the switch closes at t=0. Sketch the exponential current and capacitor voltage: i(t)=Aexp(-t/tau) +B, and Vc(t)=Dexp(-t/tau) +F. Find: A,B,D,F,tau,i(t=tau),i(t=4tau),Vc(t=tau),and Vc(t=3tau).
Please do question 524
the power in watts dissipated by the resistor. Hamad Alrobayan ans:4 ource, resistor, 524) Given a series circuit consisting of a DC voltage capacitor, inductor, and switch which closes at t-o. All elements are initially uncharged. If v-1 volts, R-4 Ohms, C-1/10 Farads, and L-2 Henries. DO NOT determine current. Determine voltage across the INDUCTOR (VL(t)). Any inverse LT requires Stanley met Express any angle in radians. ans:4 Hamad Alrobayan 765 Given th vstem in Fig...
In an RC series circuit, V = 24.0 V, resistance R = 10.0 KΩ, and capacitance C = 2200 μF. All the elements are in series and the capacitor charges gradually to its final charge Calculate the maximum charge stored in the capacitor g) Calculate the initial electric current in the circuit.
Answer:
Please help! Electrical series circuits never make
sence to me. I included the answer so that you can check your
work.
Hope that helps.
19. An electrical series circuit contains a resistor with a resistance of R- 20 ohms, a capacitor with a capacitance of C 0.01 farads, and an inductor with an inductance of L 1 henry. The initial current in the circuit is 0 amperes. A variable voltage of E(t) 120 sin volts of is applied to...
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Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. 5 h, R 2 1 f, E(t)...