Consider a linear circuit having input voltage Vin (t) and a corresponding output voltage Vout (t). Which of the following statements concerning time varying input and output is certainly true: a) When the input is exponential Vin(t) = es₁t with some value $₁, the output must also be exponential Vout (t) = Aes2t with s2 and s₁ being different in general. b) When the input is exponential Vin(t) = esit with exponential constant S₁, the output must also be exponential

Delmar's Standard Textbook Of Electricity
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Chapter19: Capacitors
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QUESTION 4
Consider a linear circuit having input voltage Vin (t) and a corresponding output voltage Vout (t). Which of the following
statements concerning time varying input and output is certainly true:
a) When the input is exponential Vin(t) = e³₁t with some value $₁, the output must also be exponential Vout(t) =
Aes2t with S₂ and s₁ being different in general.
b) When the input is exponential Vin(t) = es₁t with exponential constant S₁, the output must also be exponential
Vout (t) = = AeS₁t only if s₁is a real number, while A could be either real or complex number.
c) When the input is exponential Vin(t) = es₁t with some exponential constant S₁, the output must also be exponential
Vout (t) = AeS₁t, where both s₁ and A can be real or complex numbers
d) None of the above
a)
Transcribed Image Text:QUESTION 4 Consider a linear circuit having input voltage Vin (t) and a corresponding output voltage Vout (t). Which of the following statements concerning time varying input and output is certainly true: a) When the input is exponential Vin(t) = e³₁t with some value $₁, the output must also be exponential Vout(t) = Aes2t with S₂ and s₁ being different in general. b) When the input is exponential Vin(t) = es₁t with exponential constant S₁, the output must also be exponential Vout (t) = = AeS₁t only if s₁is a real number, while A could be either real or complex number. c) When the input is exponential Vin(t) = es₁t with some exponential constant S₁, the output must also be exponential Vout (t) = AeS₁t, where both s₁ and A can be real or complex numbers d) None of the above a)
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