Digital Electronics - Multivibrators and 555 Timer - Discussion

Discussion Forum : Multivibrators and 555 Timer - General Questions (Q.No. 4)
4.
A 22-k resistor and a 0.02-F capacitor are connected in series to a 5-V source. How long will it take the capacitor to charge to 3.4 V?
0.44 ms
0.501 ms
0.66 ms
0.70 ms
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
13 comments Page 1 of 2.

Harini said:   6 years ago
How this problem is solved. Are said a formula for this problem.

Uday Pratap Singh said:   9 years ago
Voltage across capacitor is,
Vc = V (1 - e^(-t/RC)).

From question Vc = 3.4V, V = 5V, RC = 0.44 x 10^-3.

Putting these values in above equation.
3.4 = 5 (1 - e^(-t/(0.44 * 10^(-3)))).

After solving this equation, t = 0.501 ms.
(1)

Aimal said:   1 decade ago
t = RC*ln(Vc/Vs).

Mohit Sharma said:   1 decade ago
V(c) = V(s)[1-e((-t)/RC)].
3.4 = 5[1-e((-t)/RC)].
3.4/5 = [1-e((-t)/RC)].
0.68 = 1-e((-t)/RC).
e((-t)/RC) = 0.32.

Taking natural log both sides, we have
-t/RC = -1.139.

t = 1.139 * 0.02u * 22K.
t = 0.501ms.

Viendong194 said:   1 decade ago
Yes. this is a monostable that made by IC555.
When Vc=2/3Vo , T=ln(3)*RC.

K.K said:   1 decade ago
The charging of capacitor is calculated.

T= ln(3) *RC.

Vikas Kaushik said:   1 decade ago
V = Vo [ {exp(-t/RC) }- 1]
where
V = voltage across capacitor at any time t
Vo = supply voltage

Ambree said:   1 decade ago
Wt is the formula to calculate with out calculator ?

Arvind said:   1 decade ago
What is other formula without calculator for exam?

Shafeeq said:   1 decade ago
Use this formula V=Vm(1-exp(-t/R*C))

Here all values are given and solve for t.


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