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Can you find the answers in this problems in i think its in cheg

1. Find the transfer function represented by:
2. Use the result of the previous question to find the response, c(t) to an input r(t) = u(t), a unit
step response assuming zero initial conditions.
3. Find the transfer function relating to the capacitor voltage, Vc(s), to the input voltage, V(s) using
differential equations.
4. Find the transfer function relating to the capacitor voltage, Vc(s), to the input voltage, V(s) using
single loop via Transform Method.
5. Find the transfer function relating to the capacitor voltage, Vc(s), to the input voltage, V(s) using
single node via Transform Method.
 
1. In order to find the transfer function, we need more information about the system or circuit. Please provide the specific details, such as the circuit diagram, components, and values.

2. Once we have the transfer function from the previous question, we can find the response c(t) to an input r(t) = u(t) (unit step response) by taking the Laplace transform of both the input and the transfer function, and then applying the inverse Laplace transform to get the time-domain response.

3. To find the transfer function relating the capacitor voltage, Vc(s), to the input voltage, V(s), using differential equations, we need to set up the differential equation for the circuit or system. By analyzing the circuit and applying Kirchhoff's laws, we can derive a differential equation involving the input and output voltages. Solving this equation will yield the transfer function.

4. To find the transfer function relating the capacitor voltage, Vc(s), to the input voltage, V(s), using the single loop via Transform Method, we can use the concept of impedance. By analyzing the circuit and calculating the impedance of the elements, we can express the voltage across the capacitor as a function of the input voltage. Taking the Laplace transform of this relationship will give us the transfer function.

5. To find the transfer function relating the capacitor voltage, Vc(s), to the input voltage, V(s), using the single node via Transform Method, we need to apply Kirchhoff's current law at the node where the capacitor is connected. By analyzing the circuit and expressing the currents in terms of the input and output voltages, we can derive the transfer function by taking the Laplace transform of the relationship.

Please provide more specific information or equations related to the given problems so that I can provide a more accurate and detailed response.
 

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