SHMHard
Question
An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to Q0 and then connected to the L and R as shown below :-
If a student plots graphs of the square of maximum charge 2 Max (Q ) on the capacitor with time (t) for two different values L1 and L2 (L1 > L2) of L then which of the following represents this graph correctly ? (plots are schematic and not drawn to scale)
If a student plots graphs of the square of maximum charge 2 Max (Q ) on the capacitor with time (t) for two different values L1 and L2 (L1 > L2) of L then which of the following represents this graph correctly ? (plots are schematic and not drawn to scale)
Options
A.
B.
C.
D.
Solution
As damping is happening its amplitude would vary as
The oscillations decay exponentially and will be proportional to e-γt where γ depends inversely on L.
So as inductance increases decay becomes slower
∴ for
The oscillations decay exponentially and will be proportional to e-γt where γ depends inversely on L.
So as inductance increases decay becomes slower
∴ for
Create a free account to view solution
View Solution FreeMore SHM Questions
Two identical springs are fixed at one end and masses 1 kg and 4kg are suspended at their other ends. They are both stre...One end of a spring of force constant k is fixed to a fixed vertical wall and the other to a block of mass m resting on ...The total energy of a harmonic oscillator of mass 2kg is 9 joules. If its energy at rest is 5 joules, its K.E. at the me...A spring is made to oscillate after suspending a mass m from one of its ends. The time period obtained is 2 seconds. On ...The total vibrational energy of a particle in S.H.M. is E. Its kinetic energy at half the amplitude from mean position w...