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Mechanical Engineering (MIE342H1) Electric Circuits 10th Edition Solutions

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Sandra Watson
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University of Toronto

Circuits with Applications to Mechanical Engineering Systems (MIE342H1)

Assessment Problems
AP 1.1 Use a product of ratios to convert two-thirds the speed of light from meters
per second to miles per second:

AP 1.2 To solve this problem we use a product of ratios to change units from
dollars/year to dollars/millisecond. We begin by expressing $10 billion in
scientific notation:

AP 1.3 Remember from Eq. (1.2), current is the time rate of change of charge, or
i = dq
dt In this problem, we are given the current and asked to find the total
charge. To do this, we must integrate Eq. (1.2) to find an expression for
charge in terms of current:

AP 1.4 Recall from Eq. (1.2) that current is the time rate of change of charge, or
i = dq
dt . In this problem we are given an expression for the charge, and asked to
find the maximum current. First we will find an expression for the current
using Eq. (1.2):

AP 1.5 Start by drawing a picture of the circuit described in the problem statement:

AP 1.6 [a] Applying the passive sign convention to the power equation using the
voltage and current polarities shown in Fig. 1.5, p = vi. To find the time
at which the power is maximum, find the first derivative of the power
with respect to time, set the resulting expression equal to zero, and solve
for time

AP 1.7 At the Oregon end of the line the current is leaving the upper terminal, and
thus entering the lower terminal where the polarity marking of the voltage is
negative. Thus, using the passive sign convention, p = −vi. Substituting the
values of voltage and current given in the figure,

P 1.6 [a] We can set up a ratio to determine how long it takes the bamboo to grow
10 μm First, recall that 1 mm = 103μm. Let’s also express the rate of
growth of bamboo using the units mm/s instead of mm/day. Use a
product of ratios to perform this conversion:

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 Mechanical Engineering (MIE342H1) Electric Circuits 10th Edition Solutions

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