Question

Round your answers to one decimal place.this parallel circuit has two resistors at 15 and 40 ohms. what is the total resistance? ωif there is a 12 v battery in the circuit, what would the approximate current be? a

Answer 1

10.9Ohms

1.1A i did it on Edge and it was correct

Answer 2

1) The equivalent resistance of two resistors in parallel is given by:

`(1)/(R_(eq))= (1)/(R_1)+ (1)/(R_2)`
so in our problem we have

`(1)/(R_(eq)) = (1)/(15 \Omega)+ (1)/(40 \Omega)=0.092 \Omega^(-1)`
and the equivalent resistance is

`R_(eq) = (1)/(0.092 \Omega^(-1))=10.9 \Omega`

2) If we have a battery of 12 V connected to the circuit, the current in the circuit will be given by Ohm's law, therefore:

`I= (V)/(R_(eq))= (12 V)/(10.9 \Omega)=1.1 A`