4. If a 10-volt battery charges a 5 mF capacitor up to 10 Volts, and then the capacitor is discharged through a 100 k? resistor. a. How long will it take the voltage to reach 3 volts? b. What is the time constant for the RC circuit?
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Step 1: Calculate the time it takes for the voltage to reach 3 volts using the formula for discharging a capacitor through a resistor: \[ V(t) = V_0 \cdot e^{-\frac{t}{RC}} \] Given: - \( V(t) = 3 \) volts - \( V_0 = 10 \) volts - \( R = 100 \times 10^3 \) ohms - Show more…
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