The Current Through an Inductor with Inductance of 430 MH

question 9

Essay

the current through an inductor with inductance of 430 mH is given by $$i ( t ) = \left\{ \begin{array} { c } - 4 t , \quad 0 \leq t < 5 \\8 t - 60 , \quad 5 \leq t < 10 \\- 4 t + 60 , \quad 10 \leq t < 15 \\0 , \quad \text { otherwise }\end{array} \mathrm { A } \right.$$ Find the voltage across the inductor v(t) and plot the current and voltage as a function of time.

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Definitions:

Passive-aggressive

A behavior characterized by indirect expression of hostility or resentment, often through procrastination, sullenness, or intentional inefficiency.

Directive-assertive

A communication style characterized by direct expressions of needs and wants, often with the expectation of compliance from others.

Passive

A state of acceptance or non-resistance to external events or situations, often implying a lack of active response.

Aggressive

Characterized by or resulting from a forceful and sometimes overly assertive pursuit of one's goals.