Time taken to charge capacitor to 2/3 V in

In summary, the time it takes to charge a capacitor to 2/3 of its maximum voltage depends on its capacitance and resistance, and can be calculated using the equation t = 0.69 x RC. The factors that affect this time include capacitance, resistance, and input voltage, and it can be reduced by increasing the input voltage or using a lower resistance. There is no specific maximum time limit for charging a capacitor, but it is important to use caution to avoid overheating or damaging the capacitor. Additionally, a capacitor can be overcharged if the input voltage is too high or if it is left charging for too long, so proper charging procedures should be followed.
  • #1
mogley76
19
0

Homework Statement


C= 0.047 micro farads
R= 2.2K
using the formula given, calcultae the time taken to charge the capacitor to 2/3 V in.


Homework Equations



Vc = Vin * (1-e^-t/rc)

The Attempt at a Solution



rc= 2.2E3 * 0.047 E-6 = 1.034E-4 seconds ( 1 time constant , 63% of vin )

i can't figure out figure out after that, i know 1 time constant is 63% and 2/3 is slightly higher than that around 67% of vin but how do i work out the time taken to reach that?
 
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  • #2
You should be able to solve the equation for t.
 
  • #3
t = -rc* ln(1-vc/vn)

got it thanks
 

1. How long does it take to charge a capacitor to 2/3 of its maximum voltage?

The time it takes to charge a capacitor to 2/3 of its maximum voltage depends on the capacitance and resistance of the circuit. It can be calculated using the equation t = 0.69 x RC, where t is the time in seconds, R is the resistance in ohms, and C is the capacitance in farads.

2. What factors affect the time taken to charge a capacitor?

The time taken to charge a capacitor is affected by the capacitance, resistance, and input voltage of the circuit. The higher the capacitance and resistance, the longer it will take to charge the capacitor. Additionally, a higher input voltage will result in a faster charging time.

3. Can the time taken to charge a capacitor be reduced?

Yes, the time taken to charge a capacitor can be reduced by increasing the input voltage or using a lower resistance in the circuit. Additionally, using a capacitor with a higher capacitance can also decrease the charging time.

4. Is there a maximum time limit for charging a capacitor to 2/3 of its voltage?

There is no specific maximum time limit for charging a capacitor to 2/3 of its voltage. However, it is important to note that continuously charging a capacitor for an extended period of time can lead to overheating and potentially damaging the capacitor.

5. Can a capacitor be overcharged when trying to reach 2/3 of its voltage?

Yes, a capacitor can be overcharged if the input voltage is too high or if it is left charging for too long. This can result in damaging the capacitor or causing it to fail. It is important to use caution and follow proper charging procedures when dealing with capacitors.

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