A string of 15 identical Christmas tree lights are connected in series to a 127 V source. The string dissipates 58 W.What is the equivalent resistance of the light string?

Answer in units of Ω

P = E^2/R = 58 Watts.

(127)^2/R = 58
58R = (127)^2
R = (127)^2/58 = 278 Ohms.

To find the equivalent resistance, we can use Ohm's Law. Ohm's Law states that the resistance (R) is equal to the voltage (V) divided by the current (I).

First, we need to find the current flowing through the string of lights. We can use the power dissipation (P) and the voltage (V) to find the current (I) using the formula:

P = V * I

Rearranging the formula, we have:

I = P / V

Substituting the given values, we can calculate the current flowing through the string:

I = 58 W / 127 V = 0.457 A

Now that we have the current, we can find the equivalent resistance using Ohm's Law:

R = V / I

Substituting the given voltage and current, the formula becomes:

R = 127 V / 0.457 A

Calculating this expression gives us:

R = 277.872 Ω

Therefore, the equivalent resistance of the Christmas tree light string is approximately 277.872 Ω.