A 50 μF capacitor that had been charged to 30 V is discharged through a resistor....
A 50 μF capacitor that had been charged to 30 V is discharged through a resistor. Figure 74 shows the capacitor voltage as a function of time. What is the value of the resistance?
FIGURE 74
Homework Answers
The expression for the voltage in the circuit at any time t is as follows:
…… (1)
Here, 
is the maximum voltage, t is the time, R is the resistance and C is the capacitance of the capacitor.
Calculate the value of the resistance.
Take natural log on both sides of the above equation (1).
Rearrange the above equation for R.
Substitute 
for C, 
for t, 10 V for V, and 30 V for 
in above equation. 
Therefore, the value of the resistance is
.
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