Irl HWB89- Saved to this PC Blanco Tam,Nicole × - File Home Insert Draw Design L

Question

Irl HWB89- Saved to this PC Blanco Tam,Nicole × - File Home Insert Draw Design Layout References Mailings Review View HelpTell me what you want to do Share Times New Roman -11 . A A Aa.::...-. T AaBbCcDd AaBbCcDd AaB AaBb AaBbCCD. AaB- B 1 U_ x, x' A-·. . 2x. (.Nonnal 1 No Spac Heading 1 Heading 2 Heading 3 Title Cut Copy ‰ Replace ce Select Format Painter Font Styles Editing 3. E = 125 V, RI 4.7 kQ, R2 = 15 kQ, R3 = 6.8 kS2, C = 10 F. The switch has been open for a long time. At t0 the switch is closed. Find v(t) for t0. R1 R2 R3 Page 2 of 5 312 words Engish (United States) 0 Type here to search 9:19 PM E 2/18/20184

Explanation / Answer

Here ,for the time constant , T

R = (R1 + R3) || R2

R = (4.7 + 6.8) * 15/(15 + 4.7 + 6.8)

R = 6.51 kOhm

T = R * C

T = 6.51 *10^3 * 10 *10^-6

T = 0.0651 s

after a very long time ,

potential across capacitor

Eo = 125 * 15/(15 + 4.7 + 6.8)

Eo = 71 V

Now, for v(t)

v(t) = 71 * (1 - e^(-t/T))

v(t) = 71 * (1 - e^(-t/.0651))

the correct option is 71 * (1 - e^(-t/.0651))

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