Reference no: EM131262952
Logarithms and Exponentials Assignment
Q1. The voltage across a capacitor in an RC circuit is given as
v(t) = 10 - 10e-2t volts
a) Solve for the time (in seconds), t it takes to reach a voltage of v(t) = 9 voltes.
b) Solve for the initial voltage, (i.e., the voltage when t is equal to zero).
c) Determine the voltage when t equal 0.01, 0.1 and 1 seconds(s).
d) Using the information from a)-d), plot the voltage as a function of time.
Q2. A water treatment plant tank has a drain hole that allows water to leak out. The height of the water as a function of time is given as
h(t) = h0e-(K/A)t
a) Using the properties of logs, solve for the time t at any height.
b) In terms of A and K, solve for the time t when the height of the water has drained by 50%. (i.e., h(t) = 0.50h0).
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