The current (in amperes) at time t (in seconds) flowing in the circuit in Figure 19 is given by Kirchhoff's Law: i(t) = Cv (t) + R 1v(t) where v(t) is the voltage (in volts), C the capacitance (in farads),
i(t) = Cv €²(t) + R ˆ’1v(t)
where v(t) is the voltage (in volts), C the capacitance (in farads), and R the resistance (in ohms, „¦).
69. Calculate the current at t = 3 if
v(t) = 0.5t + 4 V
where C = 0.01 F and R = 100 „¦.
71. Assume that R = 200 _ but C is unknown. Use the following data to estimate v _ (4) (by an SDQ) and deduce an approximate value for the capacitance C
FIGURE 19 3.8 3.94 4.2 v( 388.8 404.2 420 436.2452.8 i(t) 32.34 33.22 34.1 34.98 35.86
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