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Substituting the value of k in Equation 4. Therefore, the current flowing through the circuit is So, the response of the series RL circuit, when it is excited by a DC voltage source, has the following two terms. We can re-write the Equation 5 as follows Where, Ï„ is the time constant and its value is equal to L/______
R
Transient Response of RC Circuit: Consider a Transient Response of RC Circuit consisting of resistance and capacitance as shown in fig. The capacitor in the circuit is initially uncharged, and is in series with a ______. When the switch S is closed at t = 0, we can determine. the complete solution for the current.
resistor
Application of the Kirchhoff‟s voltage law to the circuit results in the following differential equation. By differentiating the above equation, we get A A A A A is a constant A The current equation becomes When switch S is closed, the response decays with time as shown in Fig. In the solution, the quantity RC is the time constant, and is denoted by τ, where τ = RC sec After 5 TC, the curve reaches 99 per cent of its final value. In. Fig., we can find out the voltage across each element by using the current equation. Voltage across the resistor is ______
voltage
Similarly, voltage across the capacitor is At t = 0, voltage across capacitor is ______ The responses are shown in Fig. 12.8. Power in the resistor Power in the capacitor The responses are shown in Fig.
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Short Questions with answers Module 1 Q1. State Ohm‟s law and its ______
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What is the purpose of the superposition theorem in network analysis?
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How is time domain analysis of an electrical system defined?
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According to Thevenin's Theorem, how can a complex circuit be simplified?
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If a 30 V source can cause 1.5 A current in a circuit, what current can a 10 V source generate through the same circuit?
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What does Norton's Theorem state about simplifying active networks?
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In network analysis, when is the superposition theorem typically used?
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