RC Cicuit Lab (Resistor and Capacitor) (Current(I) measured as the function of T

Question

RC Cicuit Lab (Resistor and Capacitor) (Current(I) measured as the function of Time.)

1.      Which curve fit the best fit for your data?                              

        Equation for Voltage V. Time from the charging circuit.                      

        Equation for Voltage V. Time from the discharging circuit.                      

2.   Use the equation above and what you have learned in class about RC circuit relationships after performing the lab to determine the time constant for your RC circuit from the graphs you plotted. Explain how you found the time constant. (Do not use ? = RC from your measured R and C values.) Compare these two values. (% Error or % Difference?)

   ?-charging  

   ?-discharging  

Percent Difference=

3.    Determine the potential difference across the capacitor after three time constants if (a) you are charging the capacitor from zero voltage, and (b) discharging the capacitor from the fully charged state.

4.    In theory , it takes an infinite amount of time for a capacitor to discharge. In reality, how many time constants will it take a discharging capacitor to reach 1% of its initial voltage?

Explanation / Answer

1.3rd graph best represent the current across the circuit

2.Time constant is defined as the time taken by capacitor to charge to 0.63 of the final charge stored in capacitor

For discharging capacitor ,Time constant is defined as time taken by capacitor to discharge to 0.36 of total charge stored in capacitor

3.potential difference after 3 time contant

during charging

potential difference=0.95 V

during discharging

potential difference=0.04V

4.time constant to take voltage to 1 percent

0.01=e^(-x)

x almost equal to 5

Answer =5

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