The current (in amperes) at time t (in seconds) flowing in the circuit in Figure 20 is

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The current (in amperes) at time t (in seconds) flowing in the circuit in Figure 20 is given by Kirchhoff ’s Law:

i(t) = Cν'(t) + R−1ν(t)

where ν(t) is the voltage (in volts, V), C the capacitance (in farads, F), and R the resistance (in ohms, Ω).

+ X C


Assume that R = 200 Ω but C is unknown. Use the following data and the SDQ to estimate ν'(4), and deduce an approximate value for the capacitance C.

3.8 3.9 4 4.1 4.2 v(t) 388.8 404.2 420 436.2 452.8 i(t) 32.34 33.22 34.1 34.98 35.86 t

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Related Book For  answer-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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