Nodal Analysis in Electric Circuits
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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, τ 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.

<p>zero</p> Signup and view all the answers

Short Questions with answers Module 1 Q1. State Ohm‟s law and its ______

<p>limitations</p> Signup and view all the answers

What is the purpose of the superposition theorem in network analysis?

<p>To solve circuits with multiple sources</p> Signup and view all the answers

How is time domain analysis of an electrical system defined?

<p>It is the representation and solution of linear differential equations over time</p> Signup and view all the answers

According to Thevenin's Theorem, how can a complex circuit be simplified?

<p>By replacing it with a single voltage source and resistor</p> Signup and view all the answers

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?

<p>0.3 A</p> Signup and view all the answers

What does Norton's Theorem state about simplifying active networks?

<p>They can be replaced by a current source in parallel with a resistance</p> Signup and view all the answers

In network analysis, when is the superposition theorem typically used?

<p>When there are multiple sources present</p> Signup and view all the answers

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