A) Find the equivalent resistance of the circuit below. Assume that V = 18.0 V,

Question

A) Find the equivalent resistance of the circuit below.

Assume that V = 18.0 V, R1 = 7.50 ohms, R2 = 4.30 ohms, R3 = 4.30 ohms, R4 = 1.20 ohms, and R5 = 4.20 ohms.

B) The equivalent resistance between points A and B of the circuit shown is 24.5 ohms. For R1 = 10.2 ohms and R2 = 51.0 ohms, calculate the value of resistance R3.

A) Find the equivalent resistance of the circuit below. Assume that V = 18.0 V, R1 = 7.50 ohms, R2 = 4.30 ohms, R3 = 4.30 ohms, R4 = 1.20 ohms, and R5 = 4.20 ohms. B) The equivalent resistance between points A and B of the circuit shown is 24.5 ohms. For R1 = 10.2 ohms and R2 = 51.0 ohms, calculate the value of resistance R3.

Explanation / Answer

R2+R5 is in parallel with R3

Req= 8.5*4.3/(8.5+4.3)= 2.85 ohms
Rtot=R1+Req+R4= 7.5 +2.85 +1.2= 11.55 ohms

Part 2

R3 is // to R2

So Req= R1+R2*R3/(R2+R3)

24.5=10.2+ 51*R3/(51+R3)

0.28=R3/(51+R3)

14.3= 0.72R3

R3=19.86 ohms

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