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# 6 - i(1)=%f 00‘de i(tu to energy stored in an inductance...

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Unformatted text preview: i(1)=%f 00‘de +i(tu) to energy stored in an inductance is given by w(t) = éLizﬂ) ' 1;. 3.]; Capacitance Describe the construction of capacitors. - What is a dielectric material? Give two exam- ples _"I‘hevoltage across a capacitor is constant. What isthe value of the current? " ', The voltage across a 100- ,u.F capacitor is 200 V. What is the magnitude of the net charge stored on each plate? What is the total of the net charges on both plates? AZOOD-MF capacitor, initially charged to 100 V, ' is discharged by a steady current of 100 “A. How long doesit take to discharge the capacitor to 0 V? '7. Find the stored charge and energy for a 5-,uF capacitor that is discharged to 1000 V. If this capacitor is discharged to 0 V in a time interval oil as, ﬁnd the average power delivered by the capacitor during the discharge interval. ,3. The voltage across a 10-pF capacitor is given by v(:) = 100 sin(1000r). Find expressions for the current, power, and stored energy. Sketch the waveforms to scale versus time. The voltage across a l-uF capacitor is given by 120) = 1003—10”. Find expressions for the current, power, and stored energy. Sketch the waveforms to scale versus time. Prior to r = 0, a 100—,uF capacitance is un— charged. Starting at r = 0, the voltage across the capacitor is increased linearly with time to 100 V in 2 s. Then, the voltage remains constant . Problems 141 12. Inductances in series or parallel are combined in the same manner as resistances. 13. Real inductors have several parasitic effects. 14. Mutual inductance accounts for mutual coupling of magnetic ﬁelds between coils. at 100 V. Sketch the voltage, current, power, and stored energy to scale versus time. P110. The current through a 0.5— MP capacitor is shown in Figure P3.10. At t = 0, the voltage is zero. Sketch the voltage, power, and stored energy to scale versus time. 5(1) i0) (ITIA) (a) (b) Figure P3.10 P3.11. The current through a 3-,uF capacitor is shown in Figure P311. At t = 0, the voltage is 11(0) = 10 V. Sketch the voltage, power, and stored energy to scale versus time. 1'0) (M) it!) 100 "m T C=3,uF -iOO (a) (b) J r(rns) Figure P3.“ lb._-notcsthat answers can be found on the OrCAD CD and on the websitewww. prenha'll . com/hamb'l ey ...
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