, all 18%C 2:54 PM 00 THE PROBLEM PW 4 The circuil in lhe ligure has E- T1-1 R-=
ID: 1870571 • Letter: #
Question
, all 18%C 2:54 PM 00 THE PROBLEM PW 4 The circuil in lhe ligure has E- T1-1 R-=352. Ra-6 . and R4=8 12. (a Calculale hecrenl Ihrough resislar RI (b) Calculale lhe vallage across resislor IR2 ( Callale he currenl Ihraugh resislor Ra (d) Calculale lhe pawer used by resislar R PAPER SOLUTION INTER PR ET DEVELOP In your answers below, type E, R1, R2, R3. and R4 lo represenl,R, IzIz, and R.4. First, derive an algebraic expression for the equivalernt resisla1e lar a Tur resislors To simplify the algebra, use R in your aiswers belaw.Explanation / Answer
a)The equivalent resistance needs to be calculated first
2,3,4 are in parallel
1/R234 = 1/3 + 1/6 + 1/8 => R234 = 1.6 Ohm
Req = 1.6 + 1 = 2.6 Ohm
V = IR => I = V/R = 6/2.6 = 2.31 A
The current through R1 is equal to the battery current
I1 = 2.31 A
b)Voltage across the entire parallel combination will be same and given by:
V2 = 6 - 2.31 x 1 = 3.69 V
Hence, V2 = 3.69 V
c)I3 = V3/R3 = 3.69/6 = 0.62 A
Hence, I3 = 0.62 A
d)P1 = I1^2 R
P1 = 2.31^2 x 1 = 5.34 W
Hence, P1 = 5.34 W
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.