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Igor is using computer controlled switching for precise timing. He needs your help to work out the right time for critical switching activities. (a) Find the voltage of the capacitor after the lightning strike for 0.2

Igor is using computer controlled switching for precise timing. He needs your help to work out the right time for critical switching activities. (a) Find the voltage of the capacitor after the lightning strike for 0.2

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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a) Voltage after lightning strike = 13.333kV
b) The capacitor will be sufficiently discharged at t = 2.353s
c) The capacitor voltage will fall below 10V at t=2.618s
d) The switch should be opened at t=3.053s
e) The leg current will fall below 50mA at t= 3.143s
f) The corpse awakens at t=3.143s

 
 
Tutorial exercise Igor the Mad Scientist is planning to reanimate a corpse (again). His plan is to capture energy from a lightning bolt into a capacitor, and then to discharge the capacitor into the torso and brain. The lower body is reanimated from a voltage supply. The electrical models of the body parts are shown in the figure below. [NB: The corpse reanimation steps below are not scientifically feasible or ethically acceptable, but make for an interesting tute.] The steps for corpse re-animation are as follows: Step 1: Capture a lightning strike into a discharged capacitor. The moment of the lightning strike marks t = 0. The lightning strike has a duration of 200 ms, and creates a current i(t) = 1000(1 - 25+²) A for 0 < t < 0.2s. Step 2: At t=2s, start discharging the capacitor across the torso. Step 3: When the capacitor voltage falls to 1000 V, close the switch to discharge the capacitor into the brain (through the neck bolts). Step 4: At t=3s, close the switch to connect the legs to the 1000 V source. Step 5: When the current reaches 500A, open the switch to disconnect the legs from the 1000 V source. Step 6: Once the leg current drops below 50 mA, and the capacitor voltage drops below 10 V the corpse will come to life. Disconnect the cables and feed your new monster some tea and cake.
Transcribed Image Text:Tutorial exercise Igor the Mad Scientist is planning to reanimate a corpse (again). His plan is to capture energy from a lightning bolt into a capacitor, and then to discharge the capacitor into the torso and brain. The lower body is reanimated from a voltage supply. The electrical models of the body parts are shown in the figure below. [NB: The corpse reanimation steps below are not scientifically feasible or ethically acceptable, but make for an interesting tute.] The steps for corpse re-animation are as follows: Step 1: Capture a lightning strike into a discharged capacitor. The moment of the lightning strike marks t = 0. The lightning strike has a duration of 200 ms, and creates a current i(t) = 1000(1 - 25+²) A for 0 < t < 0.2s. Step 2: At t=2s, start discharging the capacitor across the torso. Step 3: When the capacitor voltage falls to 1000 V, close the switch to discharge the capacitor into the brain (through the neck bolts). Step 4: At t=3s, close the switch to connect the legs to the 1000 V source. Step 5: When the current reaches 500A, open the switch to disconnect the legs from the 1000 V source. Step 6: Once the leg current drops below 50 mA, and the capacitor voltage drops below 10 V the corpse will come to life. Disconnect the cables and feed your new monster some tea and cake.
10mF ||z(t) = 1000(1-25/²) A; 0<t<0.2s 1=25 t=t₁ 1092 2592 www. 1592 1592 0.1Ω M ww 50mH 0.192 50mH t=3s tw 1092 1₂ + 1000 V Igor is using computer controlled switching for precise timing. He needs your help to work out the right time for critical switching activities. (a) Find the voltage of the capacitor after the lightning strike for 0.2 <t<2s. (b) Find an expression for the capacitor voltage while the capacitor is discharging into the torso only. When will the capacitor be sufficiently discharged to connect the capacitor to the brain? (c) When will the capacitor voltage fall below 10V? (d) Find an expression for the leg current when the voltage source is connected to the legs. When should the switch connecting the voltage source to the legs be opened? (e) When will the leg current fall below 50mA? (f) Based on your answer to (c) and (e), when will the corpse come to life? Specify the type of cake to be used in Step 6.
Transcribed Image Text:10mF ||z(t) = 1000(1-25/²) A; 0<t<0.2s 1=25 t=t₁ 1092 2592 www. 1592 1592 0.1Ω M ww 50mH 0.192 50mH t=3s tw 1092 1₂ + 1000 V Igor is using computer controlled switching for precise timing. He needs your help to work out the right time for critical switching activities. (a) Find the voltage of the capacitor after the lightning strike for 0.2 <t<2s. (b) Find an expression for the capacitor voltage while the capacitor is discharging into the torso only. When will the capacitor be sufficiently discharged to connect the capacitor to the brain? (c) When will the capacitor voltage fall below 10V? (d) Find an expression for the leg current when the voltage source is connected to the legs. When should the switch connecting the voltage source to the legs be opened? (e) When will the leg current fall below 50mA? (f) Based on your answer to (c) and (e), when will the corpse come to life? Specify the type of cake to be used in Step 6.
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