Question

Round your answers to one decimal place. This parallel circuit has two resistors at 15 and 40 ohms. What is the total resistance? Ω If there is a 12 V battery in the circuit, what would the approximate current be? A

Answer 1

Answer:

10.9 ohms .

 1.1 Amperes  

Explanation:

Answer 2

-- With two resistors in parallel, the total effective resistance is
the reciprocal of  (1/R₁ + 1/R₂).

1/R₁ + 1/R₂  = 1/15 + 1/40

= 8/120 + 3/120

= 11/120

So the total effective resistance is 120/11 = 10.9 ohms .

Current = (voltage) / (resistance)

= 12 / (120/11)

= (12 · 11) / 120

= 132/120  =  1.1 Amperes