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)
(b) If the bulb's operating temperature is 2700°C, what is its resistance at 2570°C?
solve for R
b. resistance=constant*TempInKelvins
This leads us to see resistance is directly proportional to tempinKelvins
new resistance=firstresistance(newKtemp/oldKtemp)
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.
(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.