37.8k views
4 votes
What Is The Equivalent Resistance Of The Circuit Below?

1 Answer

6 votes

Step-by-step explanation:

To calculate the equivalent resistance of the circuit below, we need to combine the resistors that are in series and in parallel.

Starting from the left, we see that the 10 Ω and 15 Ω resistors are in series, so we can combine them using the formula:

R_series = R1 + R2

R_series = 10 Ω + 15 Ω

R_series = 25 Ω

Next, we can combine the 20 Ω and 25 Ω resistors that are in parallel using the formula:

1/R_parallel = 1/R1 + 1/R2

1/R_parallel = 1/20 Ω + 1/25 Ω

1/R_parallel = 0.05 + 0.04

1/R_parallel = 0.09

R_parallel = 1/0.09

R_parallel = 11.11 Ω

Finally, we can combine the 25 Ω and 11.11 Ω resistors that are in series using the formula:

R_series = R1 + R2

R_series = 25 Ω + 11.11 Ω

R_series = 36.11 Ω

Therefore, the equivalent resistance of the circuit is 36.11 Ω.

User Wholladay
by
8.1k points

No related questions found