Question

Find the equivalent resistance of this

˚uit. First, what is the equivalent
resistance, Req(23), of the parallel
combination of R2 and R3?GivenR1 =100 ohmR2 =200 ohmR3 =300 ohms
a) 120 ohms
b) 133.33 ohms
c) 166.67 ohms
d) 90 ohms

Answer 1

The equivalent resistance Req(23) for resistors R2 and R3 in parallel is found using the formula for parallel resistances, resulting in an equivalent resistance of 120 Ohms.

Step-by-step explanation:

To find the equivalent resistance Req(23) of the parallel combination of R2 and R3, we use the formula for resistors in parallel which is 1/Req = 1/R2 + 1/R3. Plugging the values in, we get:

1/Req(23) = 1/200 Ohms + 1/300 Ohms

1/Req(23) = 3/600 Ohms + 2/600 Ohms

1/Req(23) = 5/600 Ohms

Req(23) = 600 Ohms / 5

Req(23) = 120 Ohms

Therefore, the correct answer is (a) 120 Ohms, which is the equivalent resistance of the parallel combination of R2 and R3.11