Question

1) Calculate the equivalent resistance of 2 resistors wired in parallel. The value of the resistors are
4 ohms and 8 ohms.

Answer 1

Explanation:

$r = \: ( { \frac{4 \times 8}{4 + 8} } \\ r= \: ohm$2.67

Answer 2

Answer:2 2/3 ohms

Explanation:

equivalent resistance=R

r1=4 ohms

r2=8 ohms

For parallel connection

1/R=1/(r1) + 1/(r2)

1/R=1/4 + 1/8

1/R=(2x1+1x1)/8

1/R=(2+1)/8

1/R=3/8

Cross multiply

1x8=3xR

8=3R

Divide both sides by 3

8/3=3R/3

8/3=R

R=8/3 or 2 2/3 ohms