anonymous
  • anonymous
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
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1433877050526:dw|
Michele_Laino
  • Michele_Laino
here we have to compute the total or equivalent resistance
Michele_Laino
  • Michele_Laino
the equivalent resistance is given by the subsequent formula: \[\Large {R_{EQ}} = 8.5 + 3.2 + \frac{1}{{\frac{1}{{13}} + \frac{1}{{18}}}} = ...\Omega \]

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anonymous
  • anonymous
so we get 19.248?
Michele_Laino
  • Michele_Laino
ok! we can assume R_eq=19.25 ohms
Michele_Laino
  • Michele_Laino
so the total current is: I=15/19.24=...amperes
anonymous
  • anonymous
and we get 0.779?
Michele_Laino
  • Michele_Laino
ok! I=0.779 amperes. Now the voltage drop of resistor R_1 is: V_1=8.5*0.779=...volts
anonymous
  • anonymous
6.6215!
Michele_Laino
  • Michele_Laino
ok! maybe it is the right answer the voltage drop of resistor #4, is: V_4=3.2*0.779=...volts
anonymous
  • anonymous
2.4928!
Michele_Laino
  • Michele_Laino
ok!
Michele_Laino
  • Michele_Laino
now the voltage drop V_AB is: 15-(6.6215+2.4928)=...volts |dw:1433877631686:dw|
anonymous
  • anonymous
5.8857!
Michele_Laino
  • Michele_Laino
ok! so what is the right option?
anonymous
  • anonymous
R_4 ?
Michele_Laino
  • Michele_Laino
why?
anonymous
  • anonymous
becuase it it closest to 5.8? i am a bit confused:/
Michele_Laino
  • Michele_Laino
we are searching for a 6.6 voltage drop
anonymous
  • anonymous
ohhh ok! so it should be R_3?
Michele_Laino
  • Michele_Laino
no, since V_AB=5.8857
Michele_Laino
  • Michele_Laino
what is the voltage drop of R_1?
anonymous
  • anonymous
ohh i am confused:(
anonymous
  • anonymous
oh! it is 6.62! ohhhh so it would be R_1 ? :O
Michele_Laino
  • Michele_Laino
yes! that's right!! :)
anonymous
  • anonymous
ohh okie! yay!! Thank you!!:D
Michele_Laino
  • Michele_Laino
:):)

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