In Circuit \(\mathrm{A}\) in Figure 3, each resistor has a resistance of \(1 \mathrm{k} \Omega\) and each capacitor has a capacitance of \(2 \mu \mathrm{F}\). Circuit A can be simplified to the equivalent Circuit B in Figure 3 .
(a) Determine the equivalent resistance R and the equivalent capacitance C. Write your final answers in the blank spaces below Circuit B in Figure 3 .
For the remainder of this question, refer to Circuit \(\mathrm{B}\). In Circuit \(\mathrm{B}\), the capacitor is allowed to charge fully by keeping the switch closed for a long time. Then, at \(t=0\), the switch is opened, and the capacitor starts to discharge.
(b) At \(t=0^{+}\), i.e., just after the switch is opened, what is the initial voltage \(V_{0}\) across the capacitor and the initial value \(I_{0}\) of the current \(I ?\)
(c) How long does it take for the voltage across the capacitor to drop to half its initial value?
Determine the equivalent resistance R and the equivalent capacitance C
Find the Equivalent ResistanceFour resistors are connected as shown in figure (a), below. (Let R=3.00 Ω.)The original network of resistors is reduced to a single equivalent resistance.(a) Find the equivalent resistance between points \(a\) and \(\mathrm{c}\).solutionConceptualize Imagine charges flowing into and through this combination from the left. All charges must pass from a to \(b\) through the first two resistors, but the charges split at \(b\) into Categorize Because of the simple nature of the combination of resistors in the...
Problem 7 A resistor with resistance R, battery with voltage AV, capacitor with capacitance C, and switch are connected in series. The switch is closed at t = 0. The time constant of the circuit is T. What is the initial voltage across the resistor immediately after the student is closed? Select One of the Following: (a) o (b) AV (c) TAV (d) AV/T (e) AV/(R+C) Problem 8 A capacitor is charged to potential difference V and then allowed to...
Consider a series circuit containing a resistor of resistance R and a capacitor of capacitance C connected to a source of EMF ε with negligible internal resistance. The wires are also assumed to have zero resistance. Initially, the switch is open and the capacitor discharged. (Figure 1)Immediately after the switch is closed, what is the voltage across the resistor?Immediately after the switch is closed, what is the direction of the current in the circuit?
Consider a series circuit containing a resistor of resistance R and a capacitor of capacitance C connected to a source of EMF E with negligible internal resistance. The wires are also assumed to have zero resistance. Initially, the switch is open and the capacitor discharged. (Figure 1)A Immediately after the switch is closed, what is the voltage across the capacitor?B Complete previous part(s) C Immediately after the switch is closed, what is the direction of the current in the circuit? E Eventually,...
A simply RC circuit made up of a capacitor with capacitance C and resistor with resistance R = 15 kΩ is attached to a battery with emf E = 24 V. If time constant is 25 µs, what is the capacitance C and the time it takes for the voltage across the capacitor to reach 16 V after the switch is closed at t = 0?
To understand the behavior of the current and voltage in a simple R-C circuit. A capacitor with capacitance C is initially charged with charge q0. At time t = 0 a resistor with resistance R is connected across the capacitor. (Figure 1) Part CNow solve the differential equation V(t) = -CR dV(t)/dt for the initial conditions given in the problem introduction to find the voltage as a function of time for any time t.
5. A resistance 250, inductance 200mH, and capacitance 1 uF capacitor are all connected in series, and across the combination is connected to a 500V, 60 Hz supply. Calculate (a) the current flowing, (b) the phase difference between the supply voltage and current, (c) the voltage across the coil and the capacitor. 6. An 300-uF capacitor is connected in series with 3.25-MQ resistance across a 300-V supply. The switch is closed. Calculate a) Time constant of the circuit b) Initial...
for the current shown find a) the equivalent resistance of the circuit 28. The capacitor in the figure shown is initially uncharged and the switch, in position is not connected to either side of the circuit. The switch is now flipped to position a for 10 ms, (a) What is voltage difference across the capacitor? (b) then the switch flipped to position b for 10 ms and then brought back to position c. What the final voltage difference across the...
Answer: 96. Consider the circuit below. The capacitor has a capacitance of 10 mF. The switch is closed and after a long time the capacitor is fully charged. (a) What is the current through each resistor a long time after the switch is closed? (b) What is the voltage across each resistor a long time after the switch is closed? (c) What is the voltage across the capacitor a long time after the switch is closed? (d) What is the...
7 A circuit consists of a resistor of resistance R, and a capacitor of capacitance C, connected in series, and is described by the first order differential equation - + y = E where E is the constant e.m.f. and v is the voltage across the capacitor. Given that v(O) = 0, show by using the integrating factor method that v = E(1 - e-t/(RC))