Question

The charge q on the plate of a capacitor is given L
d
2q
dt
2 + R
dq
dt
+
q
C
= E sinωt. I
the circuit is tuned so that ω
2 =
1
LC
, R
2 <
4L
C
and q =
dq
dt
= 0 at t = 0 , prove
q =
E
Rω [e
−
Rt
2L {cospt +
R
2LP
sinpt} − cosωt] when p
2 =
1
LC
−
R
2
4L
2
.The charge q on the plate of a capacitor is given L
d
2q
dt
2 + R
dq
dt
+
q
C
= E sinωt. I
the circuit is tuned so that ω
2 =
1
LC
, R
2 <
4L
C
and q =
dq
dt
= 0 at t = 0 , prove
q =
E
Rω [e
−
Rt
2L {cospt +
R
2LP
sinpt} − cosωt] when p
2 =
1
LC
−
R
2
4L
2
.

Answer 1

Answer:

a^x=b^p, b^y=c^2p, c^z=a^4p.

xyz=8p³

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