JEE Main 20154 April
- Exam
- JEE Main
- Year
- 2015
- Date
- 4 April
- Subject
- Physics
- Chapter
- Alternating Current
JEE Main 2015 · 4 April · Physics · Alternating Current
An LCR circuit is equivalent to a damped pendulum. In an LCR...
An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to and then connected to the L and R as shown below:

If a student plots graphs of the square of maximum charge \left({Q}_\max^{2}\right) on the capacitor with time (t) for two different values 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 \left({Q}_\max^{2}\right) on the capacitor with time (t) for two different values of L then which of the following represents this graph correctly? (plots are schematic and not drawn to scale)
Options
- A

- B

- C

- D

Correct answer
C. 
Step-by-step solution
Comparing to the damped pendulum. We write,& , is resistive force,~Amplitude,& . Comparing results, we can write
, as charge decreasing,~

.
Exponentially decreasing function, graph has higher values than~.
, as charge decreasing,~

.
Exponentially decreasing function, graph has higher values than~.