(a) What is the hot resistance of a 24 W light bulb that runs on 120 V AC?

(b) If the bulb's operating temperature is 2700°C, what is its resistance at 2570°C?

V^2/R=24

solve for R

b. resistance=constant*TempInKelvins

This leads us to see resistance is directly proportional to tempinKelvins

new resistance=firstresistance(newKtemp/oldKtemp)

the resistance of a tungsten wire is used in the filament of a 60W bulb is 240 ohm when the bulb is hot at a temperature of 2020°C. what would you estimate its resistance at 20°C?

(a) To determine the hot resistance of the light bulb, we can use Ohm's Law, which states that resistance (R) is equal to voltage (V) squared divided by power (P).

Given:
Power (P) = 24 W
Voltage (V) = 120 V

Using Ohm's Law:
R = V^2 / P

R = (120^2) / 24
R = 14400 / 24
R = 600 ohms

Therefore, the hot resistance of the 24 W light bulb running on 120 V AC is 600 ohms.

(b) To calculate the change in resistance as the temperature changes, we can use the temperature coefficient of resistance. This coefficient indicates how much the resistance of a material changes per degree Celsius.

Unfortunately, the specific temperature coefficient for the light bulb material is required to calculate the resistance at different temperatures accurately. Please provide the temperature coefficient, or refer to the manufacturer's specifications to obtain this information.

To find the hot resistance of a light bulb, we can use the formula P = V^2 / R, where P represents the power consumed by the bulb, V is the voltage supplied to the bulb, and R is the resistance of the bulb.

(a) To find the hot resistance of the 24 W light bulb that runs on 120 V AC, we can rearrange the formula P = V^2 / R to solve for R.

Given:
Power (P) = 24 W
Voltage (V) = 120 V

Rearranging the formula, we have:
R = V^2 / P

Substituting the given values:
R = (120)^2 / 24

Calculating this, we get:
R = 5760 Ω (Ohms)

Therefore, the hot resistance of the 24 W light bulb is 5760 Ω.

(b) To find the resistance of the light bulb at a specific temperature, we need to take into account the temperature coefficient of the bulb's material. The temperature coefficient tells us how much the resistance changes per degree Celsius.

Given:
Operating temperature (T1) = 2700°C
Resistance at operating temperature (R1) = To be determined
Temperature at which resistance is to be found (T2) = 2570°C

To find the resistance at 2570°C, we can use the formula:
R2 = R1 * (1 + α * (T2 - T1))

where R2 is the resistance at temperature T2, R1 is the resistance at temperature T1, α is the temperature coefficient, and T2 - T1 is the difference in temperature.

Since we don't have the specific temperature coefficient or the resistance at the operating temperature, we won't be able to find the exact resistance at 2570°C without additional information.