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? AZOODMF 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 10pF 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 luF 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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 Fall '06
 Preston

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