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#13: The switch has been open a long time (no current) and then closes at t = 0. Find the voltages v1 and v2, currents il and i2 each at the following three times: just before the switch closes, just after the switch closes and a long time after the switch closes.

#13: The switch has been open a long time (no current) and then closes at t = 0. Find the voltages v1 and v2, currents il and i2 each at the following three times: just before the switch closes, just after the switch closes and a long time after the switch closes.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Subject: Fundamentals of circuit analysis

Please show all the works. The hints and answers are also given.

t< 0: Capacitors are in DC conditions, act like an open circuit, no current i1(0-) = 0, i2(0-) = 0, v1(0-) = 60 Volt, v2(0-) = 60 Volt t = 0+: Capacitor voltage is a continuous function of time, no change v1(0+) = 60 Volt, v2(0+) = 60 Volt Ohm' law: i1(0+) = -60/30 = -2 Amp KCL at top middle node: i2(0+) = 0 t-> infinity: Capacitors are in DC conditions, act like an open circuit, no current i1(inf) = 0, i2(inf) = 0 Voltage divider, V1(inf) = 30 Volt KVL: V2(inf) = 40 Volt
Transcribed Image Text:t< 0: Capacitors are in DC conditions, act like an open circuit, no current i1(0-) = 0, i2(0-) = 0, v1(0-) = 60 Volt, v2(0-) = 60 Volt t = 0+: Capacitor voltage is a continuous function of time, no change v1(0+) = 60 Volt, v2(0+) = 60 Volt Ohm' law: i1(0+) = -60/30 = -2 Amp KCL at top middle node: i2(0+) = 0 t-> infinity: Capacitors are in DC conditions, act like an open circuit, no current i1(inf) = 0, i2(inf) = 0 Voltage divider, V1(inf) = 30 Volt KVL: V2(inf) = 40 Volt
#13: The switch has been open a long time (no current) and then closes at t= 0. Find the voltages vl and v2, currents il and i2 each at the following three times: just before the switch closes, just after the switch closes and a long time after the switch closes. 10 2 50 Ω t=0 ww i2 + 20 Ω + 30 2 60 V ww
Transcribed Image Text:#13: The switch has been open a long time (no current) and then closes at t= 0. Find the voltages vl and v2, currents il and i2 each at the following three times: just before the switch closes, just after the switch closes and a long time after the switch closes. 10 2 50 Ω t=0 ww i2 + 20 Ω + 30 2 60 V ww
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