Question

A circuit connected to a 12V battery has three 50 Ohm resistors with two connected in series, and parallel to the third. Calculate the total resistance and current.

Answer 1

Total resistance=33.3 ohms

Current=0.36 amperes

Step-by-step explanation:

Voltage=12v

R1=50 ohms

R2=50 ohms

R3=50 ohms

Two connected in series:

R1+R2=50+50=100 ohms

In parallel

1/R=1/50 + 1/100

1/R=(2+1)/100

1/R=3/100

Cross multiplying we get

100=3R

Divide both sides by3

100/3=3R/3

33.3=R

Total resistance=33.3 ohms

Current=voltage ➗ resistance

Current=12 ➗ 33.3

Current=0.36 amperes