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thanks for your help & time Consider a highway flasher such as described in clas

ID: 2152016 • Letter: T

Question


thanks for your help & time

Consider a highway flasher such as described in class, using an RC circuit and a neon lamp. The flash is very quick; the interval between flashes is set by the time required to recharge the capacitor. Suppose the charging circuit is a simple, one- loop series RC circuit. (The lamp plays no role during the charging process.) If the battery voltage is 90.0 V and the capacitor has capacitance 50.0 mu F, what resistance R is needed to make the time interval required to charge the capacitor from 50.0 V to 72.0 V equal to 2.00 s?

Explanation / Answer

For charging,

72-50=V0(1-e-t1/RC)-V0(1-e-t1+2/RC)

22=V0(e-t1/RC-e-(t1+2)/RC)

50=V0(1-e-t1/RC)

22=50-e-2/RC*50

Solving for R,

R=69k