A light bulb rated by the manufacturer as using and average power of 128.0 W when connected to a 73.0 Hz power source having a maximum voltage of Vmax = 189 V (the effective voltage under these conditions is what is called RMS voltage and is Vrms = 133.6 V), is connected in series to an identical bulb. If the resistance of the bulb is 139.5 Ω, what power would be expanded by each of the bulbs when connected in series to a source whose RMS voltage is Vrms = 133.6 V? Answer in Watts

To find the power expanded by each bulb, we first need to calculate the current flowing through the bulbs. We can use Ohm's Law, which states that current (I) is equal to the voltage (V) divided by the resistance (R).

Given:
Resistance (R) = 139.5 Ω
RMS voltage (Vrms) = 133.6 V

Using Ohm's Law:
I = Vrms / R
I = 133.6 V / 139.5 Ω

Calculating the current:
I = 0.958 A

Now, we can use the formula for power (P), which is equal to the current squared (I^2) multiplied by the resistance (R).

Power (P) = I^2 * R
P = (0.958 A)^2 * 139.5 Ω

Calculating the power:
P ≈ 123.35 W

Therefore, each bulb would expand approximately 123.35 Watts of power when connected in series to a source with an RMS voltage of 133.6V.

To find the power expanded by each bulb in the series, we can use the formula for electrical power:

Power (P) = (Voltage)^2 / Resistance

Since the bulbs are connected in series, the total resistance (R_total) is equal to the sum of the individual resistances (R) of the bulbs:

R_total = R₁ + R₂

In this case, the bulbs are identical, so their resistances are the same. Let's call their common resistance R.

R_total = R + R = 2R

Given:
R = 139.5 Ω
Vrms = 133.6 V

Now, we need to calculate the total resistance (R_total):

R_total = 2R
= 2 * 139.5 Ω
= 279 Ω

Next, we can calculate the power (P) expanded by each bulb when connected in series:

P = Vrms^2 / R_total

Substituting the given values:

P = (133.6 V)^2 / 279 Ω
= 17845.76 V² / 279 Ω
≈ 63.96 W

So, each bulb would expand approximately 63.96 Watts of power when connected in series to the source with an RMS voltage of 133.6 V.