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# What is the current through the middle (7.8 Ω) resistor? Answer in units of A. Physics help?

What is the current through the middle

(7.8 Ω) resistor?

Answer in units of A.

(the current in the 8.5 (lower) resistor is 0.106537 A, but idk where to go from there)

### 1 Answer

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- billrussell42Lv 710 months agoFavorite Answer
first get total R as seen by the battery

1 in parallel with 7.8 is 7.8/8.8 = 0.886 Ω

in series with 8.5, that is 9.386 Ω

I = E/R = 1/9.386 = 0.1065 amps in the 8.5

that produces a voltage across the parallel pair of

E = IR = 0.1065 x 0.886 = 0.094 volts

which produces current thru 7.8 Ω of

I = E/R = 0.094/7.8 = 0.012 amp or 12 mA

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