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Experiment_4

# Experiment_4 - Experiment 4 The RC Time Constant Ahmad...

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Experiment 4 The RC Time Constant Ahmad Rahman Date Preformed: 02/06/09 Date Due: 02/13/09

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Purpose To investigate how the voltage across a capacitor varies as it changes ( or discharges) and to find the time constant ( τ ) of a RC circuit. Theory When a DC voltage source is connect across an uncharged capacitor, the rate at which the capacitor charges up decreases as time passes. As a result, the capacitor charges exponentially, quickly at the beginning and more slowly as the capacitor becomes fully charged. The charge on the plates at any time is given by: o = q qo1 - e - = tRC qo1 - e - t τ o Where qo is the maximum charge on the plates and τ = RC is the capacitive time constant (R is resistance and c is capacitance). In the experiment the charge on the capacitor is measured indirectly by measuring the voltage across the capacitor since these two values are proportional to each other: = q CV At time t = τ = RC, the voltage across the capacitor has grown to the value of - 1 1e of V0 as shown: o = V Vo1 - e - 1 = Vo - = . 1 1e
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Experiment_4 - Experiment 4 The RC Time Constant Ahmad...

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