With reference to the circuit depicted in Fig. 9.47, calculate (a) ; (b) 0; (c) i(0+);

Chapter 9, Problem 46

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QUESTION:

With reference to the circuit depicted in Fig. 9.47, calculate

(a) \(\alpha\);

(b) \(\omega_0\);

(c) \(i(0^+ )\);

(d) \(di/dt|_{0^+ }\);

(e) i(t) at t = 6 s.

Questions & Answers

QUESTION:

With reference to the circuit depicted in Fig. 9.47, calculate

(a) \(\alpha\);

(b) \(\omega_0\);

(c) \(i(0^+ )\);

(d) \(di/dt|_{0^+ }\);

(e) i(t) at t = 6 s.

ANSWER:

Step 1 of 5

a)

Recall that  is defined as,

\(\begin{array}{l}
\alpha=\frac{R}{2 L} \\
=\frac{140}{(2)(12)}
\end{array}\)

Thus,

\(\alpha=5.833 \mathrm{~s}^{-1}\)

Therefore, the value of \(\alpha\) is \(5.833 \mathrm{~s}^{-1}\)

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