Which of the following statements are true and which are false?

Question

1 - The resistance of the equivalent resistor is smaller than the smallest of resistances of these resistors.

2 - A electrical current is smaller in the biggest resistance' resistor

3 - The electrical dissipated potential is bigger at the most resistant resistor.

A) False, True, False

B) True, False, False

C) True, True, True

D) True, True, False

E) False, False, True

Answer 1

1. R_equivalent= (R₁ +R₂ )/(R₁*R₂) , let R₂=0.5R₁ , then R_equivalent =(1/3) R₂ < (1/2)R₂ . Answer: true
2. I=V/R, thus, the bigger resistance of the resistor, the smaller the current. Answer: true
3. P=IV=V² /R, then the smaller resistor the bigger dissipated energy. Answer: false