in the circuit s1 is opened at t=0 and s2 is opend at t=4 msec determine I(t) for t>0
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Answer:
After a long time when switch S
1
is closed, the voltage entirely drop across the 20 Ω resistor.
The current in the circuit will be i=
R
V
=
20
1.5
=0.075amp
Energy in the inductor is U=
2
1
Li
2
When S
1
is opened and S
2
is closed, max energy in the capacitor will be stored when the charge on the capacitor is maximum.
∴
2
1
Li
2
=
2
1
C
q
max
2
⇒q
max
=
LCi
2
=0.075×
0.4×10
−3
×(4×10
−6
)
=4×10
−5
×75×10
−3
=3×10
−6
=3μC
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