rangkaian orde 2 - telkom university...rangkaian orde dua secara umum 1. find the initial conditions...

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Rangkaian Orde 2 Rangkaian Orde 2 Dr. Ir. Bambang Sujanarko, M.M.

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Page 1: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential

Rangkaian Orde 2Rangkaian Orde 2

Dr. Ir. Bambang Sujanarko, M.M.

Page 2: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 3: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential

Nilai Awal dan Nilai Akhir

Page 4: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 5: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 6: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 7: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 8: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential

Example 8.2

Page 9: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 10: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 11: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 12: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 13: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 14: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential

Rangkaian RLC Seri Tanpa Sumber

Jika

maka

Page 15: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential

atau

dengan

s1 dan s2 disebut natural frequencies nepers per second (Np/s)

o adalah resonant frequency atau undamped natural frequency (rad/s)

adalah neper frequency atau the damping factor (Np/s)

Page 16: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 17: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 18: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential

Rangkaian RLC Paralel Tanpa Sumber

Page 19: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential

Teredam lebih

Redaman Kritis

Kurang Redam

Page 20: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 21: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 22: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 23: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 24: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 25: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 26: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential

Rangkaian RLC Seri dengan Sumber DC

Page 27: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 28: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 29: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 30: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 31: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 32: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 33: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 34: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 35: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 36: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 37: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 38: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential

Rangkaian RLC Paralel dengan Sumber DC

Page 39: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 40: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 41: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 42: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 43: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential

Rangkaian Orde Dua Secara Umum

1. Find the initial conditions and and the nal value.2. Turn off the sources and nd second-order differential equation,

then identity response overdamped, criticallydamped, or underdamped.

3. Obtain the steady-state response

where is the nal value of x, obtained in step 1.4. Total response found as the sum of the transient response

and steady-state response

We nally determine the constants associated with the transientresponse by imposing the initial conditions and determined in step 1.

Page 44: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 45: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 46: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 47: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 48: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 49: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential
Page 50: Rangkaian Orde 2 - Telkom University...Rangkaian Orde Dua Secara Umum 1. Find the initial conditions and and the¿nal value. 2. Turn off the sources and ¿nd second-order differential

Tugas:Buat kelompok 2 atau 3 orang dan kerjakan soal berikut dalam bentuk slide/video untuk presentasi minggu depan.8.128.248.348.49