Question

39. Three 12 a resistors are connected in parallel and then connected to a 6.0 V battery. Find

the resulting current. Show your work. This is a two part question.



40. The devices and outlets in each circuit in a household are wired in parallel. The main
reason for this is

a. Plugging in more devices increases the total resistance on the circuit

b. Plugging in more devices decreases the total resistance on the circuit.

c. Unplugging a device does not affect the other devices on the circuit.

d. Connecting the devices in parallel is safer than if they were in series.

Answer 1

39.) Current = 1.5 A

40.) B

Step-by-step explanation:

Given that three 12 Ohms resistors are connected in parallel.

The equivalent resistance R will be

1/R = 1/R1 + 1/R2 + 1/R3

Substitute the values into the formula

1/R = 1/12 + 1/12 + 1/12

1/R = 3/12

Find the reciprocal of both sides

R = 12/3

R = 4 Ohms

From Ohm's law,

V = IR

Where V = 6v

Substitute V and the R into the formula and make current I the subject of formula

6 = I × 4

I = 6/4

I = 1.5 A

Therefore, the resulting current is 1.5 Ampere.

40.) If the devices and outlets in each circuit in a household are wired in parallel, The main reason for this is

Plugging in more devices decreases the total resistance on the circuit.

Because, the sum of resistance of resistors in parallel is less than the least resistance of a resistor is the circuit. Also, they will all share the same amount of voltage because there is no voltage drop.