R L (3) The electric circuit shown above is described by the system of differential equations: 1 0 d L dt RC where I is the current through the inductance and V is the voltage drop across the...

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R<br>L<br>(3)<br>The electric circuit shown above is described by the system of differential equations:<br>1<br>0<br>d<br>L<br>dt<br>RC<br>where I is the current through the inductance and V is the voltage drop across the capacitor. The<br>system can be derived using Kirchoff's Laws and definitions of resistance (R), inductance (L), and<br>capacitance (C). We will take it as a given!<br>(a) Show that the eigenvalues of the coefficient matrix are real and distinct if L> 4R2C and that<br>they are complex and conjugate if L < 4R2C.<br>(b) Suppose that R 1 ohm, C 5 farad, and L<br>above system in this case.<br>= 1 henry. Find the general solution to the<br>

Extracted text: R L (3) The electric circuit shown above is described by the system of differential equations: 1 0 d L dt RC where I is the current through the inductance and V is the voltage drop across the capacitor. The system can be derived using Kirchoff's Laws and definitions of resistance (R), inductance (L), and capacitance (C). We will take it as a given! (a) Show that the eigenvalues of the coefficient matrix are real and distinct if L> 4R2C and that they are complex and conjugate if L < 4r2c.="" (b)="" suppose="" that="" r="" 1="" ohm,="" c="" 5="" farad,="" and="" l="" above="" system="" in="" this="" case.="1" henry.="" find="" the="" general="" solution="" to="">

Jun 04, 2022

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R L (3) The electric circuit shown above is described by the system of differential equations: 1 0 d L dt RC where I is the current through the inductance and V is the voltage drop across the...

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