200 mH, and C = 5 mF. If the input Problem 1: 100 2, L = A series connected RLC circuit has R = voltage v(t) = 5 cos(5t) V, find the current i(t) in the circuit.
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- For the circuit shown below, the initial conditions are zero, Idc is a current source continuous and switch S is open at t = 0.a)Determine the equivalent impedance to the right of points a and b of the circuit, Z(s).b)Obtain the voltage between points a and b of the circuit in the frequency domain, V(s). Employ the initial and final value properties and calculate the values of v(0) and v(∞).c)Find the expression for v(t). Check that the values of v(0) and v(∞) agree with those calculated in the previous item.d)Obtain currents i1(t) and i2(t).For the circuit shown below, the initial conditions are zero, Vdc is a voltage source continuous and switch S is closed at t = 0.a)Determine the equivalent impedance to the right of points a and b of the circuit, Z(s).b)Obtain the input current of the circuit in the frequency domain, I(s). employ the properties of the initial and final value and calculate the values of i(0) and i(∞).c)Find the expression for i(t). Check if the values of i(0) and i(∞) agree with those calculated in the previous item.d)Obtain voltages v1(t) and v2(t).characteristic impedance z0 = 50 ohms is a short-circuited coaxial (coaxial) cable with a length d = 0.3λ component is wanted to be made. Use Its frequency is f = 8 GHz. (a) Identify the component. (b) Find the impedance value of the component. (c) Find the parameter value of the component. lesson:electrical and electronical engineering
- An RLC circuit (has resistance and reactive elements) supplied by a 60Hz power source is found to have a lagging power factor (PF). What can you say about the relative contributions of the resistance (R), XL inductance, XC capacitance & resistance/reactance (ratio) utilized in this circuit at the 60Hz frequency? (min two statements – major reactive element & comparison to Resistive element)A 50ft transmission line is used for a microwave system. Aportion of the transmission line is found to have an inductanceof 0.5 mH, a capacitance of 1000 uF, 1000Ω resistance and 1uSconductance. Find the characteristic impedance of the trans lineassuming at Low frequency application.In an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively, an R = 500Ω, L = 0.20 H, and C = 2.0μF. (a) What is the impedance of the circuit? (b) What is the amplitude of the current from the source? (c) If the emf of the source is given by v(t) = (100 V) sin 1000πt , how does the current vary with time? (d) Repeat the calculations with C changed to 0.20μF.
- A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε =Va - Vb = εmsinωt, where εm = 120 V and ω = 726 radians/second. The values for the remaining circuit components are: R = 62 Ω, L = 95.6 mH, and C = 13.8μF. 4) What is t1, the first time after t = 0 when the voltage across the inductor is zero? 6) What is VC = Vd - Va, the voltage across the capacitor, at time t = 0? Note that VC is a signed number.The inductance and capacity values used in a transmission path are 20 mH and 60 nF, respectively. Accordingly, find the significant impedance value that will eliminate the delay time per sector of this transmission path and the reflections at its output.Assume that the voltage drop across the resistor, ER, is 78 V, that the voltage drop across the inductor, EL, is 104 V, and the circuit has a total impedance, Z, of 20 . The frequency of the AC voltage is 60 Hz. ETITZ20VAPFER78VIRRPEL104VILXLVARsLL
- A series RLC circuit is constructed using component values R = 100 £2 and L = 1.5 mH along with a sinusoidal voltage source vs. If Qo= 7, determine (a) the magnitude of the impedance at 500 Mrad/s; (b) the current which flows in response to a voltage vs = 2.5 cos(425 × 10%t) V.For the circuit shown below, determine:a)The expression of the input current of the circuit in the time and frequency domain, respectively, i(t) and I(s).b)The circuit impedance, Z(s) = V(s)/I(s).c)The stress expression, v(t).d)The currents in the resistor, iR(t), and in the capacitor, iC(t).e)Repeat items c and d if v(0) = – 5 V.DISCRETE TIME GIVEN SYSTEM.Determine the poles and zeros of this system, and show how they relate to each other.The system is only marginally stable True False Find the frequency response of this system. ( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).