SUMMARY
The cost to operate a digital clock with an operating resistance of 11,000 ohms plugged into a 114-V outlet for 34 days is calculated using Ohm's law. The current through the clock is determined to be 0.01036 A, leading to a power consumption of 1.18 W. Over 34 days, this results in a total energy consumption of approximately 1.0 kWh, costing the owner $0.09. Thus, the total cost for running the clock for 34 days is $0.09.
PREREQUISITES
- Understanding of Ohm's Law
- Basic knowledge of electrical power calculations
- Familiarity with kilowatt-hour (kWh) billing
- Ability to perform unit conversions (e.g., from watts to kilowatts)
NEXT STEPS
- Learn detailed applications of Ohm's Law in electrical circuits
- Research energy consumption calculations for various household appliances
- Explore the impact of voltage and resistance on power consumption
- Investigate cost-saving strategies for reducing electricity usage
USEFUL FOR
Electrical engineers, students studying physics, homeowners interested in energy costs, and anyone looking to understand the economics of running electrical devices.