108CHAPTER 18 18.10First, consider the parallel case. The resistance of resistor Bis ()6.0 V3.0 2.0 ABBBVRI∆===()() ()6.0BbatteryAVVV∆=∆−ΩIn the series combination, the potential difference across Bis given by The current through the series combination is then V-4.0 V2.0 V=2.0 V2A3.0 3BsBVIR∆Ωand the resistance of resistor Ais ( )4.0 V6.0 23 AAAsVRI∆===Ω18.11The equivalent resistance is eqpRRR=+, where pRis the total resistance of the three parallel branches; ( )( )
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