Find resistance of resistor in RC circuit

AI Thread Summary
To find the resistance of resistor R7 for maximum power in the RC circuit, Thevenin's theorem is suggested as the appropriate method. The initial voltage across the capacitor is 200V, and it is important to determine the value of E3 before the switch is closed. The current Is significantly influences the circuit, effectively nullifying the effects of other components at steady state, where the capacitor behaves like an open circuit. The relationship between Is, R3, and E3 is crucial, as Vc can be expressed as Vc = E3 - Is * R3. Understanding these relationships will aid in calculating the required resistance for optimal power delivery.
AndrejN96
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Homework Statement


Find the resistance of resistor R7 when the switch is turned on so that the power of that resistor is maximum in the circuit.

The voltage of the capacitor before the switch is turned on is Vc=200V.

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Homework Equations


Thevenin's theorem

The Attempt at a Solution


I believe I should be using Thevenin's theorem but I have no idea how to put it. Help would be appreciated.
 
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It looks like you should be first trying to determine the value of E3. Do this before the switch is closed.

Pay close attention to the role of ##I_s##: it renders the effects of several other components to be nil.

At steady state the capacitor "looks like" an open circuit, so you need to find E3 such that the voltage across the place where C connects is 200 V. The current ##I_s## plays an important role here.
 
gneill said:
It looks like you should be first trying to determine the value of E3. Do this before the switch is closed.

Pay close attention to the role of ##I_s##: it renders the effects of several other components to be nil.

At steady state the capacitor "looks like" an open circuit, so you need to find E3 such that the voltage across the place where C connects is 200 V. The current ##I_s## plays an important role here.
So is Is going to flow through R3 and Vc is going to be equal to E3-Is*R3, and I find E3 from there?
 
AndrejN96 said:
So is Is going to flow through R3 and Vc is going to be equal to E3-Is*R3, and I find E3 from there?
Looks like a good deduction:)
 
gneill said:
Looks like a good deduction:)
Appreciate it, a lot! :)
 
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