PROBLEM S (+4 points) Imagine that the plates on a capacitor are actually bucket

Question

PROBLEM S (+4 points) Imagine that the plates on a capacitor are actually buckets ortach bucket. of water, Initially, each bucket is oy a hose (pipe) at the bottom of each bucket. However, oe bucket. However bucket is then elevated above the of the bucket, and size of the hose represent other. In this analogy, please explain what the kt, and sizeother. In thirm Compute the time constant of an RC circuit with a resistor of 100 k0 and two capacitors in series, each with a capacitance of 1 F. How long would it take to charge these capacitors to 50% of their final value?

Explanation / Answer

water is charge that flows in between the plates.

size of bucket is the capacitance that decides how much charge it can accumulate.

size of hose is the potential difference.

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when capacitors are connected in series,

Ceq = C1 C2 / (C1 + C2) = (1 x 1) / (1 + 1) = 0.5 uF

R = 100x 10^3 ohm

time constant = (100 x 10^3) (0.500 x 10^-6 )

= 0.05 s .........Ans

Q = Q0 [1 - e^(-t/T)]

0.50 Q0 = Q0 [ 1 - e^(-t/T)]

-t / T = ln(0.5) = - 0.693

t = 0.035 sec ......Ans

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