anonymous
  • anonymous
Three resistors connected in series have potential differences across them labeled V1, V2, and V3. What expresses the potential difference taken over the three resistors together?
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Michele_Laino
  • Michele_Laino
the current which flows into each of the three resistor, is such that: \[\Large {R_1}I + {R_2}I + {R_3}I = {V_1} + {V_2} + {V_3}\] or: \[\Large \left( {{R_1} + {R_2} + {R_3}} \right)I = {V_1} + {V_2} + {V_3}\]
Michele_Laino
  • Michele_Laino
Now, the voltage drop: \[\Large \left( {{R_1} + {R_2} + {R_3}} \right)I\] is equal to the voltage V applied to the battery to the three resitance, so we can write \[\Large \left( {{R_1} + {R_2} + {R_3}} \right)I = V\]
Michele_Laino
  • Michele_Laino
next, please substitute that last equation into the second one, and you will get your answer

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anonymous
  • anonymous
Thanks 😊

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