Grade 12Electrostatics
For an inductor and capacitor connected in series,
the equation describing the motion of charge is
L
d Q
dt C Q
2
2
+
1 =
0,
where
L is the inductance, C
is the capacitance,
and
Q
is the charge. An analogous equation can
be written for a simple harmonic oscillator with
position
x, mass m, and spring constant k
.
Which of the following correctly lists the
mechanical analogs of
L, C, and Q
?
L C Q
(A)
m k x
(B)
m 1/
k x
(C)
k x m
(D) 1/
k 1/
m x
(E)
x 1/k 1/
m
For an inductor and capacitor connected in series,
the equation describing the motion of charge is
L
d Q
dt C Q
2
2
+
1 =
0,
where
L is the inductance, C
is the capacitance,
and
Q
is the charge. An analogous equation can
be written for a simple harmonic oscillator with
position
x, mass m, and spring constant k
.
Which of the following correctly lists the
mechanical analogs of
L, C, and Q
?
L C Q
(A)
m k x
(B)
m 1/
k x
(C)
k x m
(D) 1/
k 1/
m x
(E)
x 1/k 1/
m
