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RC RL Manual - Phys211L/Phys205L RC AND RL CIRCUITS Object...

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Phys211L/Phys205L RC AND RL CIRCUITS Object : To investigate how transient voltages and currents vary in resistor-capacitor (RC) and resistor-inductor (RL) circuits. Equipment : Computer; PASCO Science Workshop (SW) 750 Interface; PASCO RLC Circuit Board; digital multi-meter; and connecting wires. Theory : (A) RC circuit : When a DC voltage V 0 is suddenly applied (at t=0) to an uncharged capacitor, C , in series with a resistor R , the charge on the plates is given by: . The charge on the capacitor, q, increases, from it initial value of zero, to its final value of CV 0, asymptotically. The time characterizing this rate of increase is τ c (=RC) , the capacitive time constant of the circuit. The time it takes to charge the capacitor to half its final value, t 1/2 , is given by t 1/2 = τ c ln2 . The charge on the capacitor is given by: q=CV c , where V c is the potential difference across the capacitor. Thus, one can measure the charge on the capacitor, indirectly, by measuring the potential difference across it. The change of the charge is due to the current in the circuit, I , which is simply the derivative of the charge on the capacitor with respect to time. Thus, .
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