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Determine the equivalent resistance between A and B in the figure below.

Determine the equivalent resistance between A and B in the figure below.-example-1
User Santiago Benoit
by
3.1k points

1 Answer

19 votes
19 votes

Given:

• R1 = 3 Ω

,

• R2 = 4 Ω

,

• R3 = 4 Ω

,

• R4 = 1 Ω

Let's find the equivalent resistance between A and B in the given circuit.

R3 and R4 are connected in parallel.

To find the equivalent resistance (R5) of R3 and R4 since they are connected in parallel, we have:


\begin{gathered} (1)/(R_5)=(1)/(R_3)+(1)/(R_4) \\ \\ (1)/(R_5)=(1)/(4)+(1)/(1) \\ \\ (1)/(R_5)=(1+4)/(4) \\ \\ (1)/(R_5)=(5)/(4) \\ \\ R_5=(4)/(5)=0.8\text{ \Omega} \end{gathered}

Now, R1, R2, and R5 are will be series.

To find the equivalent resistance, we have:


\begin{gathered} R_(eq)=R_1+R_2+R_3 \\ \\ R_(eq)=3Ω+4Ω+0.8Ω \\ \\ R_(eq)=7.8Ω \end{gathered}

Therefore, the equivalent resistance between A and B in the figure is 7.8Ω.

ANSWER:

7.8Ω

User Alexander Van Atta
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2.6k points