Circuits 1 HW 5 Q7

A 10¯7-F capacitor (100 nanofarads) is charged to 100 V and then disconnected. One can model the charge leakage of the capacitor with a RC circuit with no voltage source and the resistance of the air between the capacitor plates. On a cold dry day, the resistance of the air gap is 3× 103 Q; on a humid day, the resistance is 8 x 10° Q. How long will it take the capacitor voltage to dissipate to half its original value on each day?

Assume that the initial energy stored in the inductors of Figs. P6.23(a) and (b) is zero. Find the equivalent inductance with respect to the terminals a, b. PSPICE MULTISIM Figure P6.23 (a) 12 mH 24 mH 10 mH 20 mH 30 mH 9 mH, i5 mH3 8 mH be (b) 25 μΗ 18 μΗ a 60 μΗ 20 μΗ 30 μΗ 75 μΗ 12 μΗ 15 μΗ 38 μΗ

The voltage across a capacitor with the value C = 4 F is given by the waveform in Fig.P6.10. Find the waveform for the current in the capacitor for the time interval Os ≤ t≤t2, given that t2 = 15s. PCV) +12 -12 A t1 t2 t3 t4 t(s)

The voltage across a 10-µF capacitor is given by the waveform in Fig. P6.16. Plot the waveform for the capacitor current. v(t) (V) 4 12 10 t (ms) -12

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A parallel plate capacitor has an electrode area of 100 mm2 , with spacing of 0.1 mm between the electrodes. The dielectric between the plates is air with a permittivity of 8.85*10-12 F/m. The voltage on the capacitor is 100 V. The stored energy in the capacitor is ?

A 10-9.F capacitor (1 nanofarad) is charged to 50 V and then disconnected. One can model the charge leakage of the capacitor with a RC circuit with no voltage source and the resistance of the air between the capacitor plates. On a cold dry day, the resistance of the air gap is 3× 1018 2, on a humid day, the resistance is 6 × 10° 2. How long will it take the capacitor voltage to dissipate to half its original value on each day? ... On the dry day, it will take seconds.

6.25 The two parallel inductors in Fig. P6.25 are con- nected across the terminals of a black box at i = 0. The resulting voltage v for t > 0 is known to be 64e- V. It is also known that i(0) = -10 A and iz(0) = 5 A. a) Replace the original inductors with an equiva- lent inductor and find i(t) for t 0. b) Find i (1) for t z 0. c) Find i2(t) for t z (0. d) How much energy is delivered to the black box in the time interval 0 st < 0? e) How much energy was initially stored in the par- allel inductors? f) How much energy is trapped in the ideal inductors? g) Show that your solutions for i, and iz agree with the answer obtained in (f). Figure P6.25 i(1) ! = () Black i,(04H i({ 16 H box Ac

the square plates of a 5000pF capacitor measures 50 mm by 50 mm and are separated by a dielectric which is 0.23m thick. the voltage rating of the capacitor is 400 V. the maximum energy that can be stored in the capacitor, in mJ, is ?