(a) What is the resistance of a lightbulb that uses an average power of 75.0 W when connected to a 60.0-Hz power source having a maximum voltage of 170 V? (b) What If? What is the resistance of a 100-W lightbulb?
(a)
The resistance of a light bulb.
Answer to Problem 1P
The resistance of a light bulb is
Explanation of Solution
Given Information: Average power of the light bulb is
Formula to calculate the root mean square voltage across the power source is,
Here,
Substitute
Thus, the root mean square voltage across the power source is
Formula to calculate the root mean square current across the power source is,
Here,
Substitute
Thus, the value of the root mean square current across the power source is
Formula to calculate the resistance of a light bulb is,
Here,
Substitute
Thus, the resistance of a light bulb is
Conclusion:
Therefore, the resistance of a light bulb is
(b)
The resistance of a
Answer to Problem 1P
The resistance of a
Explanation of Solution
Given Information: Average power of the light bulb is
Formula to calculate the root mean square current across the power source is,
Here,
Substitute
Thus, the value of the root mean square current across the power source is
Formula to calculate the resistance of a light bulb is,
Substitute
Thus, the resistance of a
Conclusion:
Therefore, the resistance of a
Want to see more full solutions like this?
Chapter 32 Solutions
Physics for Scientists and Engineers with Modern Physics
- (a) What is the resistance of a light bulb that uses an average power of 75.0 W when connected to a 60.0-Hz power source having a maximum voltage of 170. V? (b) What is the resistance of a 100.-W lightbulb?arrow_forward(a) What is the resistance of a light bulb that uses an average power of 75.0 W when connected to a 60.0-Hz power source having a maximum voltage of 170. V? (b) What is the resistance of a 100.-W lightbulb?arrow_forwardThe figure shows variation of the current through the heating element with time in an iron when it is plugged into a standard 120 V, 60 Hz outlet. a) What is the resistance of the iron (in Ω)? b) What is the peak voltage (in V)? c) What is the average power (in W)?arrow_forward
- (a) What is the resistance of a lightbulb that uses an average power of 40.0 W when connected to a 60.0-Hz power source having a maximum voltage of 170 V? _________ Ω (b) What is the resistance of a 60.0-W lightbulb? (Assume the lightbulb uses an average power of 60.0 W when connected to a power source having a maximum voltage of 170 V.) _________ Ωarrow_forwardHow many KWh of energy does a 650-W toaster use in the morning if it is in operation for a total of 4.5 MIN?arrow_forwardA power transmission line is used to transmit 100 kW of power at a voltage of 10 kV with a loss of 1 kW. If the voltage is increased to 200 kV, what is power loss to transmit the same amount of power?arrow_forward
- What is peak power consumption rate of a 100.0-W AC light bulb?arrow_forwardA 1500 W microwave oven runs off of a 240 V supply. The current drawn is by the microwave is 6.25Amps a) If the electricity cost is $0.0925 per kWh, how much does it cost to run the microwave for 5 min?arrow_forward(a) How much average power is dissipated in a short circuit of 232 V AC through a resistance of 0.180 Ω? (b) What current flows?arrow_forward
- At its highest temperature, a space heater has a resistance of 47.5 ohms when it is plugged into a wall outlet that supplies a peak voltage of 162.6 V sinusoidally at 60 Hz. What is the average power output of the space heater?arrow_forwardA power transmission line carries 520 A of current at a voltage of 924 kV. If the line has a resistance of 48 u/m, what is the rate at which energy is being dissipated (in kW) over 509 km of line? Be fast.. asaparrow_forwardA friend returns to the United States from Europe with a 960 W coffeemaker, designed to operate from a 240 V line. (a) What can she do to operate it at the USA-standard 120 V? (b) What current will the coffeemaker draw from the 120 V line? (c) What is the resistance of the coffeemaker? (The voltages are rms values.)arrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning