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← Back to Fundamentals of Electric Circuits Overview where vs and vo are the input v oltage and output voltage, respectively.

6.83 Your laboratory has available a large number of 5-μF capacitors rated at 150 V. To design a capacitor bank of 10 μF rated at 600 V, how many 5-μF capacitors are needed and how would you connect them?

6.84 An 8-mH inductor is used in a fusion power experiment. If the current through the inductor is i(t) = 10 cos2 (πt) mA, for all t > 0 s, find the power being delivered to the inductor and the energy stored in it at t = 0.5 s.

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6.78 Design an analog computer to simulate d2 ____v^o dv^o

$$\frac{d v_o}{dt^2} + 2\frac{d v_o}{dt} + v_o = 10 \sin 2t$$

(b)

where v0(0)=−6 V and v⁰ ′ (0)=0. 6.85 A square-wave generator produces the voltage waveform shown in Fig. 6.94(a). What kind of a circuit component is needed to convert the voltage waveform to the triangular current waveform shown in Fig. 6.94(b)? Calculate the value of the component, assuming that it is initially uncharged.

6.86 An electric motor can be modeled as a series combination of a 12-Ω resistor and 200-mH inductor. If a current i(t) = 2te⁻10*^t* A flows through the series combination, find the voltage across the combination.

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