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An uncharged capacitor and a resistor are connected in series to a source of emf. If , , , Find
(a) the time constant of the circuit?
(b) the maximum charge on the capacitor?
(c) the charge on the capacitor at a time equal to one time constant after the battery is connected?
Which of the following statements is WRONG?(a) when an initially charged capacitor with a capacitance C isdischarged through a resistor R, the current through the resistoris always proportional to the charge of the capacitor(b) when an initially charged capacitor with a capacitance C isdischarged through a resistance R, the charge on the capacitor isreduced by a factor e is approximately 2.71 after a time intervalequal to the product RC(c) when a circuit consisting of a capacitance C (initiallyuncharged) and a resistance r, which are connected in series, isconnected to an ideal battery with a voltage V, the ultimate chargeof the capacitor is given by VC and is independent of theresistance, R(d) when a circuit consisting of a capacitance C (initiallyuncharged) and a resistance r, which are connected in series, isconnected to an ideal battery with a voltage V, the charge of thecapacitor increases by a factor e is approximately 2.71 after atime interval equal to the product RC(e) when a circuit consisting of a capacitance C (initiallyuncharged) and a resistance r, which are connected in series, isconnected to an ideal battery with a voltage V, the initial currentis given by V/R and is independent of the capacitance, C
An uncharged capacitor and a resistor are connected in series to a source of emf. If , , and , find
(a) the time constant of the circuit,
(b) the maximum charge on the capacitor, and
(c) the charge on the capacitor at a time equal to one time constant after the battery is connected.