Question

A four-resistor circuit is shown in the figure. The values of the resistors are as follows: R1=10 Ohms, R2=R3=6 Ohms, R4=2 Ohms. What is the equivalent resistance Req for this circuit? R4 R 1 R2 R3 w O 0.50 ohms O 2.00 ohms O 3.33 ohms 5.25 ohms 0 7.50 ohms

Answer 1

When 2 resistances r1 and r2 are in series,their equivalent=r1+r2.

Similarly,when 2 resistances r1 and r2 are in parallel,their equivalent=r1*r2/(r1+r2)

Here,R2 and R3 are in parallel. So, their equivalent=R2*R3/(R2+R3)=6*6/(6+6)=3 ohms.

This whole combination is in series with R4. So,their equivalent=3+R4=3+2=5 ohms.

Now, this whole combination is in parallel with R1. So,their equivalent=5*R1/(5+R1)=5*10/(5+10)=3.33 ohms(third option)