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Vossi said:Homework Statement:: See attached image
Relevant Equations:: First Order Differential equation for electrical circuit
I'm confused at the part how 4Vc and 48 cos(60t) are deduced, that's all.
I don't get it, either.Vossi said:I'm confused at the part how 4Vc and 48 cos(60t) are deduced, that's all.
An electric circuit differential equation is a mathematical equation that describes the behavior of an electric circuit. It relates the voltage, current, and resistance in the circuit and can be used to solve for any of these variables.
Differential equations are important in electric circuits because they allow us to model and analyze the behavior of complex circuits. They provide a mathematical framework for understanding how voltage, current, and resistance interact in a circuit.
To solve an electric circuit differential equation, you can use various methods such as separation of variables, substitution, or Laplace transforms. The specific method used will depend on the complexity of the equation and the variables involved.
Electric circuit differential equations are used in a variety of applications, including designing and analyzing electrical systems, predicting the behavior of electronic devices, and developing control systems for electric circuits.
While electric circuit differential equations are a powerful tool for understanding and analyzing circuits, they do have some limitations. They may not accurately model certain nonlinear or time-varying components in a circuit, and they may not account for external factors such as temperature or humidity.