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2) Consider the following electrical circuit :- # R R2 e C * Derive the differential equations of the circuit. Recall that the current

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2) Consider the following electrical circuit :- # R R2 e C * Derive the differential equations of the circuit. Recall that the current and voltage accross are related by cat = i a a capacitor. dv "dt * Derive a state-space representation of the system with e, as the input and e as the output. * Derive the transfer function state-space representation. (s) from the ei(s) 3) Consider the system described by -4 DHE JO DHA 3 Obtain the transfer function matrix of the system.

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