An RC circuit includes a basic switch. In position "a", the battery, resistor and capacitor are connected in series, and the capacitor charges. In position "b", the battery is replaced with a short, and the capacitor will discharge. Two voltmeters and an ammeter have been added to the circuit. A) The switch is moved to position "a", and the capacitor begins charging. At any given instant in the process, let II represent the current flowing through the ammeter, and let qq represent the charge that has accumulated on the positively charged capacitor plate. Enter an expression for Kirchhoff's Loop Rule where the sum of the voltage changes totals zero. B) Enter an expression for the charge as a function of time. C) What is the maximum value of the current after the switch is closed? D) Enter an expression for the current as a function of time. Your answer must explicitly reference the maximum current, Imax, that was determined in the previous step.
An RC circuit includes a basic switch. In position "a", the battery, resistor and capacitor are connected in series, and the capacitor charges. In position "b", the battery is replaced with a short, and the capacitor will discharge. Two voltmeters and an ammeter have been added to the circuit.
A) The switch is moved to position "a", and the capacitor begins charging. At any given instant in the process, let II represent the current flowing through the ammeter, and let qq represent the charge that has accumulated on the positively charged capacitor plate. Enter an expression for Kirchhoff's Loop Rule where the sum of the voltage changes totals zero.
B) Enter an expression for the charge as a function of time.
C) What is the maximum value of the current after the switch is closed?
D) Enter an expression for the current as a function of time. Your answer must explicitly reference the maximum current, Imax, that was determined in the previous step.
E) Enter an expression for the voltage measured across the resistor, VR, as a function of time.
F) Enter an expression for the voltage measured across the capacitor, VC, as a function of time.
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