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(1) for t 2 ().

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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
Transcribed Image Text: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
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