Question

In the figure R₁ = 7.89 ?, R₂ = 23.7 ?, and the ideal battery has emf ? = 10.6 V. (a) What is the magnitude of current i₁? (b) How much energy is dissipated by all four resistors in 2.49 min?

Chapter 27, Problem 029 In the figure R1-7.89 ? R2 = 23.7 ?, and the ideal battery has emf ? = 10.6 v. (a) what is the magnitude of current il? b) How much energy is dissipated by all four resistors in 2.49 min? R2 R2 (a) Number Units Ink:

Answer 1

equivalent resistanc eis

1/R' = 1/R2+1/R2+1/R2

R' = 23.7/3 = 7.9 ohm

R' and R1 are in series

R tot = 7.89+7.9 = 15.79 ohm

total current i = v/Rtot = 10.6/15.79 = 0.671 A

in a sereis current is same

so current across the R1 resistor is i1 = 0.671 A

across R2 is i2 = 0.671/3 = 0.224 A

b) power = i^2R

energy E = p*t = 0.671^2*15.79*2.49*60 = 1062.1 J