Chapter 26.6, Problem 1GE

The circuit in Figure has been connected for a long time. Taking R 1 = 2.00 Ω, R 2 = 7.00 Ω, R 3 = 8.00 Ω, R 4 = 1.00 Ω and C = 4.00 µF and ε = 15.0 V find the voltage across the capacitor? (Your result must be in volts. Include 2 digit after the decimal point and maximum of 3% of error is accepted in your answer.)

The capacitor in the circuit shown below is initially uncharged. The switch is closed at t = 0 s. AVbattery = 24 V, C = 3.0 μF, and R = 2.0 Q. At sometime after the switch is closed, the voltage across the capacitor is measured to be 10 V. What is the current in the circuit at this time, in Ampere? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

The capacitor in the circuit shown below is initially uncharged. The switch is closed at t = 0 s. AVbattery = 24 V, C = 3.0 μF, and R = 2.0 Q. At sometime after the switch is closed, the voltage across the resistor is measured to be 16 V. What is the charge on the capacitor at this time, in µC? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

100.0kN and C Given the following RC circuit, with R time constant T. Then let a voltage of 45.0 V be applied to a charging capacitor. How long will it take for the capacitor to reach four fifths of the original charge Qmaz? 12.5µF, determine the R I V

C S R In the circuit shown above, let C = 12.31 μF and R = 4.88 M. If the switch is initially open and the voltage on the capacitor is 47.9 V, what will be the voltage on the capacitor after 13.55 s?

Consider the RLC circuit shown below, where the initial current flowing through the circuit at time t=0 is I_0 = 5, and the initial charge on the capacitor at time t=0 is Q_0 = 2. The components have values of R = 100 ohms, L = 5H, and C = 1/450,500 F.  Write a differential equation for Q(t), the charge across the capacitor, assuming the voltage source V(t)=0.

The switch on an RC circuit is closed at t = 0.Given that  E  = 9.0  V,  R = 99  Ωand  C = 28  μF , how much charge is on the capacitor at time t= 4.2  ms?

A series circuit consists of a resistor and capacitor of resistance R ohms and capacitance C Farads.  It has the battery as a source of E volts.  When the switch is closed the capacitor begins to charge and the total charge on the capacitor at any time q (t) is governed by: dq(t)/dt+(1/RC)q(t)=E/R   where R, C, E are taken as constant.  Find the charge q (t) across the capacitor at any time t.  Hence show that as t → ∞, E = q(t)/c (Note that at t=0,q(t)=0)

In the circuit below the value of the resistance 14 Ω and the value of the capacitance is 2.0 µF. The voltage of the battery is 50 V. The capacitor is initially uncharged. Sometime after the switch is closed, the current in the circuit is measured to be 1.1 A. At this time, what is the charge on the capacitor, in µC? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.