Answer a, b, c, d A circuit consists of a resistor R connected in series with a capacitor C, as shown in Fig.1 EL Eo Fig 1. The capacitor C is connected in series with the resistor R The equation...
In a series R-L-C circuit the voltage amplitude across the resistor is 35.0 V, across the capacitor is 95.0 V and across the inductor is 55.0 V. When the source sinusoidal frequency is 10.6 KHz and the resistor value is 60.0 ohms A. What is the capacitance of the capacitor?
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))
A circuit has an ac voltage source and a resistor and capacitor connected in series. There is no inductor. The ac voltage source has voltage amplitude 0.900 kV and angular frequency w = 20.0 rad/s. The voltage amplitude across the capacitor is 0.500 kV. The resistor has resistance R= 0.300 kΩ. Part A What is the voltage amplitude across the resistor? Part B What is the capacitance C of the capacitor? Part C Does the source voltage lag or lead the current? Part D What is the average...
A series resistor-inductor-capacitor circuit (see Fig. 1) can be described as a linear system, in which, for constant voltage, the current across the components follows the equation Ꭱ d . 291(t) + (t) + 'I dt 17 1 DV Cl(t) = 1 + (1) where I is the current, R the resistance, L the inductance, C the capacitance and dv/dt the rate of change of the voltage at the power source. Consider the case that the circuit is equipped with...
RLC circuit in series A resistor R is connected in series to an inductor L and a capacitor C, without any external emf sources. (a) Using the fact that the energy stored in both the capacitor and the inductor is being dissipated in the resistor, show that the charge on the capacitor q(t) satisfies the differential equation d^2 q/ dt^2 + Rdq/Ldt + q/LC = 0. This is the equation of a damped oscillator and it has a solution of...
1. A resistor R and capacitor care connected in series with an AC voltage source with frequency f and maximum voltage Vo. a. Find the complex impedance (in the form Z = R + jX). If the impedance is written in polar form (Z = Zejº), find expressions for Z and Ⓡ. Write your answers in terms of the variables R, C, and o(= 21f). b. If the voltage source is described by the phasor V = V, ejwt, and...
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?
HA In the given RC circuit, a capacitor is connected to a resistor in series and is getting charged after closing the Switch. The time constant of the circuit is 10 (S). R = 10° (0) C =? (F) A- Calculate the capacitance of the capacitor. B- How much time does it take for the capacitor to become fully (about 99%) charged? C- If we close the Switch and the capacitor starts getting charged, what is the charge at the...
HE In the given RC circuit, a capacitor is connected to a resistor in series and is getting charged after closing the Switch. The time constant of the circuit is 10 (s). R = 109 (0) C =? (F) A- Calculate the capacitance of the capacitor. B- How much time does it take for the capacitor to become fully (about 99%) charged? C- If we close the Switch and the capacitor starts getting charged, what is the charge at the...
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...