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anonymous

  • one year ago

In the circuit shown, a voltage drop of 6.6 V wil occur across which of the following resistors? A. R_1 B. R_2 C. R_3 D. R_4

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  1. anonymous
    • one year ago
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    |dw:1433877050526:dw|

  2. Michele_Laino
    • one year ago
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    here we have to compute the total or equivalent resistance

  3. Michele_Laino
    • one year ago
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    the equivalent resistance is given by the subsequent formula: \[\Large {R_{EQ}} = 8.5 + 3.2 + \frac{1}{{\frac{1}{{13}} + \frac{1}{{18}}}} = ...\Omega \]

  4. anonymous
    • one year ago
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    so we get 19.248?

  5. Michele_Laino
    • one year ago
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    ok! we can assume R_eq=19.25 ohms

  6. Michele_Laino
    • one year ago
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    so the total current is: I=15/19.24=...amperes

  7. anonymous
    • one year ago
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    and we get 0.779?

  8. Michele_Laino
    • one year ago
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    ok! I=0.779 amperes. Now the voltage drop of resistor R_1 is: V_1=8.5*0.779=...volts

  9. anonymous
    • one year ago
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    6.6215!

  10. Michele_Laino
    • one year ago
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    ok! maybe it is the right answer the voltage drop of resistor #4, is: V_4=3.2*0.779=...volts

  11. anonymous
    • one year ago
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    2.4928!

  12. Michele_Laino
    • one year ago
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    ok!

  13. Michele_Laino
    • one year ago
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    now the voltage drop V_AB is: 15-(6.6215+2.4928)=...volts |dw:1433877631686:dw|

  14. anonymous
    • one year ago
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    5.8857!

  15. Michele_Laino
    • one year ago
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    ok! so what is the right option?

  16. anonymous
    • one year ago
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    R_4 ?

  17. Michele_Laino
    • one year ago
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    why?

  18. anonymous
    • one year ago
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    becuase it it closest to 5.8? i am a bit confused:/

  19. Michele_Laino
    • one year ago
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    we are searching for a 6.6 voltage drop

  20. anonymous
    • one year ago
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    ohhh ok! so it should be R_3?

  21. Michele_Laino
    • one year ago
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    no, since V_AB=5.8857

  22. Michele_Laino
    • one year ago
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    what is the voltage drop of R_1?

  23. anonymous
    • one year ago
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    ohh i am confused:(

  24. anonymous
    • one year ago
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    oh! it is 6.62! ohhhh so it would be R_1 ? :O

  25. Michele_Laino
    • one year ago
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    yes! that's right!! :)

  26. anonymous
    • one year ago
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    ohh okie! yay!! Thank you!!:D

  27. Michele_Laino
    • one year ago
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    :):)

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