anonymous
  • anonymous
If each resistor in the circuit shown is 5.0 Ω and the battery is 12.0 V, what does the first voltmeter (V1) read? A. 0.12 V B. 0.35 V C. 0.96 V D. 2.4 V
Physics
katieb
  • katieb
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anonymous
  • anonymous
Michele_Laino
  • Michele_Laino
at the first step, our equivalent circuit is: |dw:1434308893746:dw|
Michele_Laino
  • Michele_Laino
so, the total current is: \[\large I = \frac{V}{{{R_{TOTAL}}}} = \frac{{12}}{{5 + 5 + 2.5}} = ...Amperes\] since the total resistance is: \[\large {R_{TOTAL}} = 5 + 5 + \frac{5}{2} = ...Ohms\]

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anonymous
  • anonymous
we get 0.96? choice C is our solution?
Michele_Laino
  • Michele_Laino
no, since 0.96 is a current, and we want the voltage drop across the parallel of both 5 ohms resistances. So our answer is: \[\large {V_1} = I{R_{AB}} = 0.96 \times \frac{5}{2} = ...Volts\] |dw:1434309158256:dw|
anonymous
  • anonymous
ohh ok! so we get 2.4? meaning choice D should be our solution?
Michele_Laino
  • Michele_Laino
yes!
anonymous
  • anonymous
yay! thanks!!:)
Michele_Laino
  • Michele_Laino
:)

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