Which of the following statements is false? a) The total resistance of several resistors in series is always greater than the resistance of any single resistor b) The total resistance of several resistors in parallel is always less than the resistance of any single resistor c) The total capacitance of several capacitors in series is always greater than the capacitance of any single capacitor d) The total capacitance of several capacitors in parallel is always greater than the capacitance of any single capacitor

A capacitor with capacitance C = 5 µF is charged to a voltage V = 10V. It is then discharged through a resistor R=2 MQ. At what time after the start of the discharge process has the voltage across the capacitor fallen to 1V?

4. You can easily find the time constant if you are given a graph of voltage across a discharging capacitor as a function of time. When t = Tc = RC, the voltage across the capacitor is AV (t = Tc) = AV, e¹≈ 0.37 AV Therefore the time constant is just how long it takes for AV (t) to reach 37% of its initial value. The graph shows the voltage across a discharging 0.2 μF capacitor as a function of time. Use the following steps to determine the resistance. a. What is 37% of the initial voltage? 21 b. How long does it take (after discharge starts) for the voltage to reach 37% of the initial voltage? This time is equal to the time constant. c. Use your time constant from (b) to determine the resistance. AV (Volts) 2 1.5 0.5 %40 80 120 160 time (milli-sec)

Why the potential difference (6 V) is the same across all the resistors if they have different values?