A Series Circuit Consists of a Resistor $R = 16 \Omega$

question 40

Multiple Choice

A series circuit consists of a resistor $R = 16 \Omega$ , an inductor with $L = 2 H$ , a capacitor with $C = 0.006250 F$ , and a $12 - \mathrm { V }$ battery. If the initial charge is $0.0008 \mathrm { C }$ and the initial current is 0 , find the current $I ( t )$ at time $t$ .

• A)
• \(I ( t ) = \frac { e ^ { - 4 t } } { 160 } ( 0.006250 \cos ( 4 t ) + 8 \sin ( 4 t ) ) - \frac { 1 } { 2 }\)
• B)
• \(I ( t ) = 0.742 e ^ { - 4 t } \sin ( 8 t )\)
• C)
• \(I ( t ) = \frac { e ^ { - 4 t } } { 160 } \cos ( 8 t ) - \frac { 1 } { 2 }\)
• D)
• \(I ( t ) = \frac { e ^ { - 4 t } } { 160 } \cos ( 8 t )\)
• E)
• \(I ( t ) = 0.742 e ^ { - 8 t }\)

Analyze the judiciary's approach to balancing individual rights against governmental interests in cases involving digital privacy and searches.

Distinguish between different forms of speech (slander, libel, political, obscene) and their treatment under the law.

Understand the significance of the exclusionary rule and its application across various levels of government.

Recognize the legal protections against double jeopardy and self-incrimination.

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