Question

R₁ = 7 Ω

R₂ = 10 Ω
R₃ = 9 Ω
R₄ = 8 Ω
Find the resistance (in ohms) between points A and B.
Round to the nearest hundredth.

Please show all work!!!!!!

Answer 1

Step-by-step explanation:

Let R5 be the resistance between R3 and R4

R3 and R4 are in series

R5=R3+R4 = 9+8=17

R1, R2 and R5 are in parallel

Resistance R between A and B is :

1/R= 1/R1+1/R2+1/R5=1/7+1/10+1/17=170+119+70/1190=359/1190

1/R=359/1190

R=1190/359=3.314 Ω

Rounding to nearest hundredth we get 3.31Ω