S R Interface Box Figure 4.1. Experimental setup used to study charge-discharge

Question

S R Interface Box Figure 4.1. Experimental setup used to study charge-discharge characteristics of a series RC circuit. The boxed inset at the lower right corner of the figure shows the 1F capacitor used for this lab. This is a polarized (electrolytic) capacitor; it has a positive terminal and a negative terminal. The negative terminal of the capacitor is marked by two parallel lines, and for this lab, should be connected as shown in the circuit above. The capacitor will be damaged if it is operated in the reversed bias

Explanation / Answer

at t = 4.16, Vc = Vr

and Vc + Vr =e = 5 volt

so Vc = 2.5 Volt

Vc = V0 [1 - e^(-t/RC)]

2.5 = 5 [1 - e^(-4.16/RC)]

e^(-4.16 / RC = ln(0.5)

RC = 6

R = 6 / 1 = 6 ohm

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