Background calculations The potential across a capacitor is proportional to the charge on the capacitor: VC...

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Background calculations The potential across a capacitor is proportional to the charge on the capacitor: VC = Q/C So, in a series RC circuit the relationship between the potential and the current is: Vc(t) = Vc (0) + I(t')dt' The resistor, capacitor, and driving frequency in this experiment are chosen so that the current in the circuit is limited by the resistor, so I(t) = . If the driving potential is constant, then Vapplied (t) R Vc(t) = Vc(0) + 1 Vapplied C R t 1. Assume that Kapplied = 2V, R=1000 2 and C = 2.2x10-6 F, and Vc (0) = 0. Assuming also that the current is limited entirely by the resistance, calculate the charge on the capacitor after 5.0x104 s. Q = C 2. Assuming the same conditions as above, calculate the potential across the capacitor after 5.0x104 s. Vc = V 3. Sketch the expected signal on the grid to the right for the parameters above if the applied voltage is a square wave that starts at time =0 at and switches from +2.0 V to -2.0V at 5.0x10-4 s and then back to + 2V at 10x10-4 s. Background calculations The potential across a capacitor is proportional to the charge on the capacitor: VC = Q/C So, in a series RC circuit the relationship between the potential and the current is: Vc(t) = Vc (0) + I(t')dt' The resistor, capacitor, and driving frequency in this experiment are chosen so that the current in the circuit is limited by the resistor, so I(t) = . If the driving potential is constant, then Vapplied (t) R Vc(t) = Vc(0) + 1 Vapplied C R t 1. Assume that Kapplied = 2V, R=1000 2 and C = 2.2x10-6 F, and Vc (0) = 0. Assuming also that the current is limited entirely by the resistance, calculate the charge on the capacitor after 5.0x104 s. Q = C 2. Assuming the same conditions as above, calculate the potential across the capacitor after 5.0x104 s. Vc = V 3. Sketch the expected signal on the grid to the right for the parameters above if the applied voltage is a square wave that starts at time =0 at and switches from +2.0 V to -2.0V at 5.0x10-4 s and then back to + 2V at 10x10-4 s.