Electrical Engineering - Time Response of Reactive Circuits - Discussion

Discussion Forum : Time Response of Reactive Circuits - General Questions (Q.No. 1)
1.
When a 15 V input pulse with a width equal to two time constants is applied to an RC integrator, the capacitor charges to
15 V
12.9 V
8.6 V
19.45 V
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
10 comments Page 1 of 1.

Arvind said:   7 years ago
@Yogesh you are correct.

There have another method. But it's little difficult,

1st time constant = 15*63.2/100=9.48
Remaining voltage is 15-9.48 = 5.52
So, 5.52*63.2/100=3.48.
1st time constant+next time constant=9.48+3.488=12.96.
(3)

Salma hisham said:   1 decade ago
Voltage at Capacitor when charging = V(total) * [1-exp(-t/RC)].

Width = two time constant ====> t = 2RC.

V = V(total) * [ 1 - exp (-2) ].

V = 15 * ( 1 - 0.135 ).

V = 15 * 0.865 = 12.97 V.

Yogesh S said:   9 years ago
We know,

1 time constant, its 0.632 of max.

2 time constants, its 0.865 of max.

3 time constants, its 95 of max, so on.

Thus, here @ V = 15.

Its 0.865 * 15 = 12.9 (Answer).
(2)

Omkar L Karande said:   1 decade ago
Simple thing is for 1 times of TAU it should charge to 63%.
Obviously cap charge to 15V and beyond it.

So A D are neglected..
8.6 is less, not even 63% of 15.
So ans is B.

Vinay said:   1 decade ago
The capacitor does not charges full voltage that will appox 14. 1.

That all due to some losses the actual input -15 so below 15 is 12. 9v is the answer.

Dhanunjay said:   1 decade ago
RC integrator response os given by V(1-exp(-t/RC))

Here t= 2RC so answer is 15(1-exp2) = 12.9
(2)

Netram meena said:   9 years ago
V = Vo(1-exp (-t/RC)).

So here,
Vo = 15.

And,
T = 2 RC.

Then we get,
V = 12.9 V.

Ujjwal said:   1 decade ago
Vc(t) = V(infinity)-[V(infinity)-V(0)]e^(-t/RC).

Vc(t) = 15(1-e^(-2)) = 12.9.
(1)

Mohan bhosale said:   8 years ago
V = Vo(1-exp (-t/RC)).

Given
Vo = 15.
T = 2 RC.
Therefore, V = 12.9 V.
(2)

Tarun said:   1 decade ago
Just apply the formula v=1/r integral C dt.

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