For an inductor and capacitor connected in series, the equation describing the motion of charge is
where L is the inductance, C is 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 |
(GR0177 #59)
Solution:
The form of SHO:
LC circuit equation:
L = m
C = 1/k
Q = x
Answer: B
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