The Charge On A Capacitor In A Circuit Is Found To Vary As A Function Of Time As Q T Qo Cos Wt P What Is The Curr 2 (60.53 KiB) Viewed 11 times
The charge on a capacitor in a circuit is found to vary as a function of time as Q(t) = Qo cos(wt + p). What is the current through the capacitor (or, if you are picky, current through the wires connecting the capacitor) as a function of time? Let positive value of current be the flow of charge that increases the charge separation on the capacitor in the original direction. Hint The current through the capacitor is I(t) -kw sin (wt - ) = x syntax error. Check your variables - you might be using an incorrect one.. (Give your answer in terms of given variables (Qo, w, t, and/or p). Use underscore ("_") for subscripts and spell out Greek letters.)
An aluminum wire 2.053 mm in diameter (12-gauge) carries a current of 4 amps. Overall Hint a. What is the number density of charge carriers (electrons) in the wire? Hint for (a) 1 The number density of electrons in the wire is m³ (Use "E" notation to enter your answer in scientific notation. For example, to enter 3.14 x 10¹2, enter "3.14E12".) b. What is the magnitude of the drift velocity of the electrons? Hint for (b) The drift velocity of the electrons is vd = m/s. c. What would be the drift velocity if the same gauge copper were used instead of aluminum? Hint for (c) For the same gauge copper wire, the drift velocity would be va = m/s. There is a disconnect between how small drift velocities are and how quickly electrical signals travel through wires (nearly at the speed of light). For the moment, treat the two as completely unrelated to each other.
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