True/False
Indicate whether the
statement is true or false.
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1.
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If  both roots will be real and distinct.
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2.
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If  is considered underdamped.
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3.
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If  , then  and  will be real and equal.
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4.
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 is considered critically damped.
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5.
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 is considered underdamped.
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Completion
Complete each
statement.
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6.
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The first step in finding the natural response of a circuit is to derive the
__________ equation that the voltage must satify.
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7.
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Circuits in this chapter contain both inductors and capacitors, so the
differential equation describing these circuits is of the second order. Therefore, we sometimes
call such circuits _________-order circuits.
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8.
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 is called the characteristic equation of the
differential equation because the roots of this quadratic equation determine the mathematical
________ of v(t).
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9.
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The first step in finding the natural response is to determine the ______ of the
characteristic equation.
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10.
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Behavior of a second-order RLC circuit depends on the values of 
and  , which in turn depend on the parameters R, L,
and _______.
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11.
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Completing the description of the __________ response requires finding two
unknown coefficients, such as  and  .
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12.
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The term  is called the damped _________
frequency.
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13.
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Because  determines how quickly the oscillations
subside, it is also referred to as the damping _______ or damping coefficient.
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14.
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The oscillartory behavior is possible because of the two types of energy storage
elements in the circuit: the _________ and capacitor.
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15.
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In an underdamped system, the response oscillates, or “bounces,”
abouts its ________ value. This oscillation is also referred to as ringing.
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16.
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In an overdamped system, the response approaches its final value without ringing
or in what is sometimes described as a “________” manner.
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17.
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When a circuit is critically damped, the response is on the verge of
__________.
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