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First Order Transients and Various Aspects of Transient Analysis

চলুন দেখি

Energy delivered by a source can be stored in an inductor or capacitor. Once initial conditions are known, a voltage in an capacitor (V0) and current in an inductor (I0), the application of Kirchhoff laws results in the circuit equations that will yield the voltage and current relationships with time. The definitions of the current/voltage relationships are applied for the storage elements and for resistors (Ohm’s Law) and again, first order ordinary differential equations result. The solution leads to equations that define an exponential build up with time of any energy that is stored. Energy delivered by a source can be stored in an inductor or capacitor. Once initial conditions are known, a voltage in an capacitor (V0) and current in an inductor (I0), the application of Kirchhoff laws results in the circuit equations that will yield the voltage and current relationships with time. The definitions of the current/voltage relationships are applied for the storage elements and for resistors (Ohm’s Law) and again, first order ordinary differential equations result. The solution leads to equations that define an exponential build up with time of any energy that is stored. In both instances, the growth in current and voltage is exponential with time to a final value determined by the circuit. The time constant τ is defined as shown to characterize the exponential growth in current/voltage in the inductor/capacitor. It does this through the factor e-t/τ. After a time interval of 5 time constants, the factor is within 1% of its final value. Inductors in PSpice

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