A light bulb of resistance r = 16Ω is attached in series with an infinite resistor network with identical resistances r as shown below. A 10 V battery derives current in the circuit. What should be the value of r such that the bulb dissipated about 1 W of power?
14.8Ω
Pbulb=v2R=i2R
I=v216
VB= 4 V
I =i2×16
IB=14 Amp.
6=14×req (equivalent of groups of r)
where
req=r+req.rreq+r