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(a) What is the expression for the voltage across a capacitor as it is dischargi

ID: 1684683 • Letter: #

Question

(a) What is the expression for the voltage across a capacitor as it is discharging in a series circuit. Use V_0 (upper case V underscore zero) for the initial voltage, R for the resistor, C for the capacitance, and t for the time. Use exp(x) to denote the exponential function.
V =

(b) What is the significance of the voltage across a capacitor as it is DIScharging in a series circuit when t = t? (from above equation)

(c) What is the significance of the voltage across a capacitor as it is charging in a series circuit when t = t?

Explanation / Answer

(a) What is the expression for the voltage across a capacitor as it is discharging in a series circuit. Use V_0 (upper case V underscore zero) for the initial voltage, R for the resistor, C for the capacitance, and t for the time. Use exp(x) to denote the exponential function. V = V_0 * exp(-t/tau), where tau = RC (b) What is the significance of the voltage across a capacitor as it is DIScharging in a series circuit when t = t? (from above equation) when t = tau, V = V_0/e (c) What is the significance of the voltage across a capacitor as it is charging in a series circuit when t = t? in charging, V = V_0*[1 - exp(-t/tau)] when t = tau, V = V_0*(1 - 1/e)