185k views
2 votes
a circut contains two devices that are connected in parallel if the resistance of one of these devices is 12 ohms and the resistance of the other device is 4ohms, the total resistance of the two devices is?

User Shyvonne
by
8.8k points

1 Answer

2 votes

Answer:
3\Omega

Step-by-step explanation:

When devices
n are connected in parallel, the total resistance
R is calculated by:


(1)/(R)=(1)/(R_(1))+(1)/(R_(2))+...+(1)/(R_(n))

In this case we have 2 devices connected in parallel, and their resistances are


R_(1)=12\Omega and
R_(2)=4\Omega. Therefore:


(1)/(R)=(1)/(R_(1))+(1)/(R_(2))


(1)/(R)=(1)/(12\Omega)+(1)/(4\Omega)


(1)/(R)=(1)/(3\Omega)

Finally:


R=3\Omega This is the total resistance of the two devices

User Travis Beck
by
7.9k points