Suppose R = 170-Ohm and C = 40_mu F in a (charging) RC-series circuit with a 10_

Question

Suppose R = 170-Ohm and C = 40_mu F in a (charging) RC-series circuit with a 10_V power source. What is the maximum charge on the capacitor? What is the charge the capacitor after 0.001_s? What is the charge after on constants? max charge a. 0.0002826_C b. 0.0004746_C c. 0.0003447_C d. 0.0003349_C e. 0.0003036_C f. 0.0004_C charge after 0.001_s a. 0.0000547_C b. 0.00008288_C c. 0.0000687_C d. 0.00006855_C e. 0.00008613_C f. 0.000088_C charge after 1.5 time constants a. 0.0003644_C b. 0.0002837_C c. 0.0003107_C d. 0.0003736_C e. 0.0002402_C f. 0.0004985_C

Explanation / Answer

maximum charge Q = C*V

charge on the capacitor increases as q = Q*(1-e^(-t/RC))

8)

maximum charge Q = C*V = 40*10^-6*10 = 0.0004 C <<<<--answer

option (f)

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(9)

q = 0.0004*(1-e^-(0.001/(170*40*10^-6)))

q = 0.0000547C <<<-------answer

option (a)

=================

(10)

time constant = RC

if t = 1.5*RC

q = 0.0004*(1-e^-(1.5))

q = 0.0003107 C <<<<-----answer

option (c)

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