Concept explainers
A lossless LC circuit can be used to provide controlled oscillations to generate a controlled frequency for wireless communications. (a) Design an LC circuit with amplitude of 5 V and frequency of 400 kHz, where the largest possible inductor available is 400 nH. Now suppose that you have an undesired resistance of 0.2 mΩ in series with the LC oscillator. (b) Determine if, and how much, the frequency changes as a result of the resistance. (c) Determine the maximum time that the oscillator can run before the voltage amplitude decays to 4.8 V, and (d) determine the energy dissipation during this time period (it will be very useful to use software such as MATLAB for calculating the energy dissipation!).
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Chapter 9 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
- kindly help me with this problem thank you so much! Instructions: Evaluate and Show neat, logical, and complete solution.show final answers in four decimal places. 3. A 20 μF capacitor in an audio amplifier produces a voltage drop of 5 V at 1kHz. Find the current passed by the capacitor.arrow_forwardA 12 volt battery is connected to a simple series circuit where the inductance is 1/2 henrio and the resistance is 10 ohms. Determine the current if the initial current is 0. topic: ORDINARY DIFFERENTIAL EQUATIONSarrow_forwardA series LR circuit has a variable inductor with theinductance L(t) is defined by intervals.Find the current i(t) if the resistance is 0.2 ohms, the voltageapplied is E(t) = 4 volts; knowing that i(0) = 0.arrow_forward
- Consider the circuit in Fig. suppose that the values of R, L and C correspond to an overdamped oscillator. Assume that at t > 0 the switch is OPEN and the voltage across the components is zero (except on the battery) meanwhile At t = 0 the switch is closed. What is the measured voltage across the capacitor V(t)? Assume the battery has zero impedance.arrow_forwardSolve the given system with LU Decomposition. Please specify all your steps.arrow_forwardA series RLC circuit having a resistance of 8 ohm, inductance of 50 mH and capacitance of 90 µF is connected across a 150 V, 50 Hz supply. Calculate (1) the current (2) the power factorarrow_forward
- Circuit analysis 2 For the circuit given below, the graph of Vs (t) voltage values is given on the right. For 0 <t <1, the value of iR (t) is equal to: (Take R = 6.0, L = 6H and C = 1F.)arrow_forwardIn the series circuit of Fig, the source has voltage amplitude 20.0 V and angular frequency 5.40 x 103 rad/s, the inductance is 6.50 mH, the capacitance is 0.600 µF, and the impedance is 474 Ω. Find (a) the resistance, (b) the current amplitude, (c) the resistor voltage amplitude, (d) the inductor voltage amplitude, and (e) the capacitor voltage amplitudearrow_forwardidentify the following 1. If the pole’s real value is positive and is located on the right side of the S-plane. The system exponentially ____________.2. Is a continuous connection of branches from one node to another with all arrowheads in the same direction.3. Knowing the location of the pole in the S-plane determines the ______________ of the system.arrow_forward
- 1. A source voltage of an AC series RLC circuit is 120 V. The circuit consists of the ff. quantities: R = 20 Ω, XL = 40 Ω, and XC = 40 Ω. The circuit current (in amperes) is Blank 1. 2. A 9 µF capacitor is in parallel with 3 µF capacitor. If the parallel capacitors is in series with an 8 µF capacitor, the value of total capacitance of the series-parallel connected capacitors is Blank 1.arrow_forwardConsider the given circuit with vi=3V, R1=20K, Rf=50K, R2=10K, R3=20K, C=2μF. Assuming that the capacitor is an open circuit, determine vo.arrow_forwardDifferential Equation: y′′+6y′+58y=0 describes a series inductor-capacitor-resistor circuit in electrical engineering.The voltage across the capacitor is y (volts). The independent variable is t(seconds). Boundary conditions at t=0 are: y = 6 volts and y′=8 volts/sec . Determine the capacitor voltage at t=0.40seconds . ans:1arrow_forward
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