Solve the given problem by using Laplace transforms. 10-0 resistor, a 3.0-uF capacitor, and a 40-V...
1. A resistor R = 586 k(ohms) and a capacitor C= 87.4 uF are connected in series with a 9V battery. At t = 0 a switch is closed and the capacitor is allowed to charge. a) What is the initial current in the circuit? b) What is the initial charge on the capacitor? c) What is the time constant? d) What is the current after 1.84s has passed? e) At what time is the charge on the capacitor equal...
16. A 3.0 uF and a 5.0 uF capacitor are connected in series with a 12 V battery. Find the equivalent capacitance. Find the charge on each capacitor. Find the potential drop (or voltage) across each capacitor.
helpppp 5. A 250 Q resistor is in series with 200 uF capacitor. These are connected across a 20 V battery. The switch is turned on, and the capacitor begins to fill. After the capacitor is completely filled the battery is taken out of the circuit and the leads to the battery are shorted together. (a) (6 pts) What is the time constant, the maximum current, and the maximum charge on the capacitor? (b) (6 pts) When t = 0.04...
7.6.27 Solve the given initial value problem using the method of Laplace transforms. z"' + 6z' + 8z = e-bu(t-1); Z(0) = 2, z'(0) = -6 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms Solve the given initial value problem. z(t)=
A 4.0-uF capacitor is connected in series with 7.0 MO resistor, and this combination is connected across an ideal 10-V battery. What is the current in the circuit when the capacitor has reached 40% of its maximum charge? (1 MS2 = 106 12) 0.12 UA 2.1 UA 0.86 UA 0.42 MA 1.7 LA
A 10-V-emf battery is connected in series with the following: a 2-uF capacitor, a 2- resistor, an ammeter, and a switch, initially open; a voltmeter is connected in parallel across the capacitor. After the switch has been closed for a relatively long period(several seconds, say) what are the current and capacitor voltage readings respectively
Solve the given initial value problem using the method of Laplace transforms. y'' + 3y' +2y = tu(t-3); y(0) = 0, y'(0) = 1 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Solve the given initial value problem. y(t) = | Properties of Laplace Transforms L{f+g} = £{f} + L{g} L{cf} = CL{f} for any constant £{e atf(t)} (s) = L{f}(s-a) L{f'}(s) = sL{f}(s) – f(0) L{f''}(s) =...
Solve the given initial value problem using the method of Laplace transforms. Sketch the graph of the solution. W'+w=30(t - 3) - 4u{t-5); (C)= 2, w'(C)=0 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Solve the given initial value problem wt) - Sketch the graph of the solution A. ОВ. OD oc AY 104 Ay AY 10- 10- 10 A
An RC circuit consists of a 5 uF capacitor, an 80,000 ohm resistor, and a 12-V battery. The switch is closed at t=0. a) Find the time constant of the circuit. b) Find the time to reach 90% of the maximum charge across the capacitor.
4) Midterm question Problem 2 (30 points) C=30 uF The air capacitors with C=Cq=3.0 MF, C=2.04F and C3= 1.0F are connected to a Vo battery as shown. If the charge on C2 is Q2=20.0 C, | ,2015 Foton C1.0 F (a) (15 pts. Find the equivalent capacitance of the circuit. (b) (15 pts.) Find V. 1) A charge Q is placed on a capacitor of capacitance C=C. The capacitor is then, connected to a resistor and another capacitor of capacitance...