Question

31.1 lc oscillations

in the electrical - mechanical analogy, the charge on the capacitor corresponds to

the mass of the block.

the speed of the block.

the spring constant of the spring.

the stretch or compression in the spring.

Explanation:

In the electrical - mechanical analogy for LC oscillations, the charge \(q\) on the capacitor in an LC circuit is analogous to the displacement \(x\) (stretch or compression) of a spring - mass system. Just as the displacement \(x\) in a spring - mass system stores potential energy (\(U=\frac{1}{2}kx^{2}\)), the charge \(q\) on a capacitor stores electrical potential energy (\(U = \frac{q^{2}}{2C}\)).
The mass \(m\) of the block in a spring - mass system is analogous to the inductance \(L\) in an LC circuit. The speed \(v\) of the block is analogous to the current \(I\) in an LC circuit (\(I=\frac{dq}{dt}\), \(v=\frac{dx}{dt}\)). The spring constant \(k\) is analogous to the reciprocal of the capacitance (\(\frac{1}{C}\)) in an LC circuit.

Answer:

the stretch or compression in the spring.