ANSWER QUESTIONS 17-23 ONLY

RC Circuits UTD physics - Spring 2024 5. The conduction current in the wires can be defined as I -. Use this definition to substitute for ! in the answer to the previous question. [1] 6. Begin with -8 + = 0. Use this to write an equation that has fQ and Q on one side of the equation and at on the other side of the equation. Use the definition T = RC to simplify your equation. [1] 7. Integrate both sides of " = -2dt. (Remind yourself that r is a constant but that Q is a variable that depends on time.) If you need a constant of integration, then call it something other than C. [1] 8. Write an expression for the voltage across the capacitor as a function of time r. Your answer should involve a factor [denoted AV(0)| that is the voltage between the plates at t = 0.] 9. The expression Q = Que" predicts that charge Q decays as time goes on. How does a change as time goes on? (Use an equation to help explain.) Compare the change in Q with the change in 2. 121 10. What is the physical significance of the change in in this circuit? [1]RC Circuits UTD physics - Spring 2024 11. Use your previous answers to find an equation that describes the change in conduction current when time charges. (Your answer should involve a factor [demoted /,] that is the conduction current at ( = 0.] 12. How can you change the time constant if the capacitance of the circuit is fixed? [1] 13. Initially, how large gripi Allley After an infinitely long time, what is the value of !7 121 14. Find Inyao in terms of T. Will tuyen be changed if the time constant for the circuit is increased? If it changes, explain how. 121 15. Now USE AVIDI All = e'T to show that byya = Tim2. (2]RC Circuits UID physics - Spring 2004 16. What is the ratio of the voltage at r = 20r to the initial voltage across the capacitor? 121 17. How can the sum of voltages be a constant when Ve