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e) A series electrical circuit for a funfair arcade machine which you are testing, features a capacitor (C) charging via a 1 MQ resistor (R) and a DC supply voltage (V.). The voltage across the capacitor (V.) may be described by the following equation, where t represents time. Vc = V₁ (1-e ¹/RC) Vs The arcade machine produces an output based upon the year of your birth, which is input at the start of the game, by changing the value of the DC supply voltage (Vs). For example, if you were born in 1994 then Vs=1+9+9+ 4 = 23 V. Assuming that Vc is 1V after a time of 3 seconds, determine the approximate value of the capacitor.

e) A series electrical circuit for a funfair arcade machine which you are testing, features a capacitor (C) charging via a 1 MQ resistor (R) and a DC supply voltage (V.). The voltage across the capacitor (V.) may be described by the following equation, where t represents time. Vc = V₁ (1-e ¹/RC) Vs The arcade machine produces an output based upon the year of your birth, which is input at the start of the game, by changing the value of the DC supply voltage (Vs). For example, if you were born in 1994 then Vs=1+9+9+ 4 = 23 V. Assuming that Vc is 1V after a time of 3 seconds, determine the approximate value of the capacitor.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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e) A series electrical circuit for a funfair arcade machine which you are testing, features a capacitor (C) charging via a 1 MQ resistor (R) and a DC supply voltage (V.). The voltage across the capacitor (V.) may be described by the following equation, where t represents time. Vc = V₁ (1-e ¹/RC) Vs The arcade machine produces an output based upon the year of your birth, which is input at the start of the game, by changing the value of the DC supply voltage (Vs). For example, if you were born in 1994 then Vs=1+9+9+4 = 23 V. Assuming that Vc is 1V after a time of 3 seconds, determine the approximate value of the capacitor.
Transcribed Image Text:e) A series electrical circuit for a funfair arcade machine which you are testing, features a capacitor (C) charging via a 1 MQ resistor (R) and a DC supply voltage (V.). The voltage across the capacitor (V.) may be described by the following equation, where t represents time. Vc = V₁ (1-e ¹/RC) Vs The arcade machine produces an output based upon the year of your birth, which is input at the start of the game, by changing the value of the DC supply voltage (Vs). For example, if you were born in 1994 then Vs=1+9+9+4 = 23 V. Assuming that Vc is 1V after a time of 3 seconds, determine the approximate value of the capacitor.
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