8. Calculate the total resistance in a series circuit with a fan (3 ohms) and 3 lights (1 ohms each). 9 ohms O 12 ohms 15 ohms 06 ohms​

 R_eq = 6 Ω

Explanation:

In a series circuit the current is constant throughout the circuit and the resistance is the sum of all the resistances in it.

         R_eq = ∑

in this case we have

         R_eq = R₁1 + 3 R₂

where R₁ is the resistance of the fan and R₂ the resistance of each light, we must clarify that we will assume that the resistance of the lights does not change with temperature

let's calculate

          R_eq = 3 + 3 1

           R_eq = 6 Ω

9 ohms

Explanation:

when heated, the valance electrons increased their speed and transferred the heat from electron to electron.   i just took the test.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west