Name Date
Solar Payback worksheet
Grades 11–12 · CCSS HSF.LE.A.1.c, HSA.SSE.B.4
Calcapedia Solve each problem and show your work. Round answers to 2 decimal places where needed.
- 1.
Problem 1. - Electricity use per month: 800 kWh
- Share of use to cover with solar: 110%
- Peak sun hours per day: 5 h/day
- System efficiency (derate): 62%
- Installed cost: $2 per watt
- Rebates and incentives: $0
- Electricity price: $0.11 per kWh
- Value of each solar kWh: 90% of electricity price
- Electricity price increase: 2% per year
- Panel output decline: 0.4% per year
- Yearly maintenance: $0 per year
- Years to look ahead: 28 years
Find: Payback period
Answer
- 2.
Problem 2. - Electricity use per month: 900 kWh
- Share of use to cover with solar: 140%
- Peak sun hours per day: 5.2 h/day
- System efficiency (derate): 100%
- Installed cost: $3 per watt
- Rebates and incentives: $0
- Electricity price: $0.20 per kWh
- Value of each solar kWh: 80% of electricity price
- Electricity price increase: 2.7% per year
- Panel output decline: 0.6% per year
- Yearly maintenance: $0 per year
- Years to look ahead: 25 years
Find: Payback period
Answer
- 3.
Problem 3. - Electricity use per month: 900 kWh
- Share of use to cover with solar: 65%
- Peak sun hours per day: 4 h/day
- System efficiency (derate): 75%
- Installed cost: $3 per watt
- Rebates and incentives: $0
- Electricity price: $0.15 per kWh
- Value of each solar kWh: 90% of electricity price
- Electricity price increase: 2.8% per year
- Panel output decline: 0.4% per year
- Yearly maintenance: $0 per year
- Years to look ahead: 32 years
Find: Payback period
Answer
- 4.
Problem 4. - Electricity use per month: 900 kWh
- Share of use to cover with solar: 75%
- Peak sun hours per day: 4.4 h/day
- System efficiency (derate): 72%
- Installed cost: $3 per watt
- Rebates and incentives: $0
- Electricity price: $0.16 per kWh
- Value of each solar kWh: 100% of electricity price
- Electricity price increase: 2% per year
- Panel output decline: 0.4% per year
- Yearly maintenance: $0 per year
- Years to look ahead: 24 years
Find: Payback period
Answer
- 5.
Problem 5. - Electricity use per month: 900 kWh
- Share of use to cover with solar: 80%
- Peak sun hours per day: 4 h/day
- System efficiency (derate): 88%
- Installed cost: $2 per watt
- Rebates and incentives: $0
- Electricity price: $0.18 per kWh
- Value of each solar kWh: 100% of electricity price
- Electricity price increase: 2.6% per year
- Panel output decline: 0.6% per year
- Yearly maintenance: $0 per year
- Years to look ahead: 19 years
Find: Payback period
Answer
- 6.
Problem 6. - Electricity use per month: 880 kWh
- Share of use to cover with solar: 65%
- Peak sun hours per day: 5.5 h/day
- System efficiency (derate): 90%
- Installed cost: $3 per watt
- Rebates and incentives: $0
- Electricity price: $0.11 per kWh
- Value of each solar kWh: 80% of electricity price
- Electricity price increase: 3% per year
- Panel output decline: 0.4% per year
- Yearly maintenance: $0 per year
- Years to look ahead: 28 years
Find: Payback period
Answer
- 7.
Problem 7. - Electricity use per month: 900 kWh
- Share of use to cover with solar: 120%
- Peak sun hours per day: 4.6 h/day
- System efficiency (derate): 88%
- Installed cost: $3 per watt
- Rebates and incentives: $0
- Electricity price: $0.15 per kWh
- Value of each solar kWh: 70% of electricity price
- Electricity price increase: 2.8% per year
- Panel output decline: 0.5% per year
- Yearly maintenance: $0 per year
- Years to look ahead: 32 years
Find: Payback period
Answer
- 8.
Problem 8. - Electricity use per month: 975 kWh
- Share of use to cover with solar: 130%
- Peak sun hours per day: 4 h/day
- System efficiency (derate): 80%
- Installed cost: $3 per watt
- Rebates and incentives: $0
- Electricity price: $0.13 per kWh
- Value of each solar kWh: 100% of electricity price
- Electricity price increase: 2.4% per year
- Panel output decline: 0.5% per year
- Yearly maintenance: $0 per year
- Years to look ahead: 32 years
Find: Payback period
Answer
- 9.
Problem 9. - Electricity use per month: 900 kWh
- Share of use to cover with solar: 110%
- Peak sun hours per day: 3.4 h/day
- System efficiency (derate): 90%
- Installed cost: $4 per watt
- Rebates and incentives: $0
- Electricity price: $0.16 per kWh
- Value of each solar kWh: 88% of electricity price
- Electricity price increase: 2.5% per year
- Panel output decline: 0.4% per year
- Yearly maintenance: $0 per year
- Years to look ahead: 24 years
Find: Payback period
Answer
- 10.
Problem 10. - Electricity use per month: 900 kWh
- Share of use to cover with solar: 72%
- Peak sun hours per day: 5.5 h/day
- System efficiency (derate): 75%
- Installed cost: $3 per watt
- Rebates and incentives: $0
- Electricity price: $0.13 per kWh
- Value of each solar kWh: 90% of electricity price
- Electricity price increase: 3% per year
- Panel output decline: 0.6% per year
- Yearly maintenance: $0 per year
- Years to look ahead: 20 years
Find: Payback period
Answer
Answer key: Solar Payback worksheet
Calcapedia 1. Payback period: 15.8 years
Work out the energy to make each year: your monthly use × 12 months × the share you want solar to cover
Size the system: divide that by what 1 kW of panels makes in a year (365 days × sun hours × efficiency)
Price it: size in watts × the installed cost per watt
Take off rebates and incentives to get what you really pay
First-year savings: the power you make × its price × how much of that your utility credits, minus upkeep
Payback: savings pass the net cost during year 16. By the start of that year you've saved $17,555.68, and the rest takes part of the year
Net gain over 28 years: total savings minus net cost
2. Payback period: 9.1 years
Work out the energy to make each year: your monthly use × 12 months × the share you want solar to cover
Size the system: divide that by what 1 kW of panels makes in a year (365 days × sun hours × efficiency)
Price it: size in watts × the installed cost per watt
Take off rebates and incentives to get what you really pay
First-year savings: the power you make × its price × how much of that your utility credits, minus upkeep
Payback: savings pass the net cost during year 10. By the start of that year you've saved $23,678.66, and the rest takes part of the year
Net gain over 25 years: total savings minus net cost
3. Payback period: 16.7 years
Work out the energy to make each year: your monthly use × 12 months × the share you want solar to cover
Size the system: divide that by what 1 kW of panels makes in a year (365 days × sun hours × efficiency)
Price it: size in watts × the installed cost per watt
Take off rebates and incentives to get what you really pay
First-year savings: the power you make × its price × how much of that your utility credits, minus upkeep
Payback: savings pass the net cost during year 17. By the start of that year you've saved $18,207.60, and the rest takes part of the year
Net gain over 32 years: total savings minus net cost
4. Payback period: 14.5 years
Work out the energy to make each year: your monthly use × 12 months × the share you want solar to cover
Size the system: divide that by what 1 kW of panels makes in a year (365 days × sun hours × efficiency)
Price it: size in watts × the installed cost per watt
Take off rebates and incentives to get what you really pay
First-year savings: the power you make × its price × how much of that your utility credits, minus upkeep
Payback: savings pass the net cost during year 15. By the start of that year you've saved $20,146.51, and the rest takes part of the year
Net gain over 24 years: total savings minus net cost
5. Payback period: 8.1 years
Work out the energy to make each year: your monthly use × 12 months × the share you want solar to cover
Size the system: divide that by what 1 kW of panels makes in a year (365 days × sun hours × efficiency)
Price it: size in watts × the installed cost per watt
Take off rebates and incentives to get what you really pay
First-year savings: the power you make × its price × how much of that your utility credits, minus upkeep
Payback: savings pass the net cost during year 9. By the start of that year you've saved $13,340.88, and the rest takes part of the year
Net gain over 19 years: total savings minus net cost
6. Payback period: 15.6 years
Work out the energy to make each year: your monthly use × 12 months × the share you want solar to cover
Size the system: divide that by what 1 kW of panels makes in a year (365 days × sun hours × efficiency)
Price it: size in watts × the installed cost per watt
Take off rebates and incentives to get what you really pay
First-year savings: the power you make × its price × how much of that your utility credits, minus upkeep
Payback: savings pass the net cost during year 16. By the start of that year you've saved $10,901.10, and the rest takes part of the year
Net gain over 28 years: total savings minus net cost
7. Payback period: 16.2 years
Work out the energy to make each year: your monthly use × 12 months × the share you want solar to cover
Size the system: divide that by what 1 kW of panels makes in a year (365 days × sun hours × efficiency)
Price it: size in watts × the installed cost per watt
Take off rebates and incentives to get what you really pay
First-year savings: the power you make × its price × how much of that your utility credits, minus upkeep
Payback: savings pass the net cost during year 17. By the start of that year you've saved $25,935.26, and the rest takes part of the year
Net gain over 32 years: total savings minus net cost
8. Payback period: 16.9 years
Work out the energy to make each year: your monthly use × 12 months × the share you want solar to cover
Size the system: divide that by what 1 kW of panels makes in a year (365 days × sun hours × efficiency)
Price it: size in watts × the installed cost per watt
Take off rebates and incentives to get what you really pay
First-year savings: the power you make × its price × how much of that your utility credits, minus upkeep
Payback: savings pass the net cost during year 17. By the start of that year you've saved $36,536.62, and the rest takes part of the year
Net gain over 32 years: total savings minus net cost
9. Payback period: 20.6 years
Work out the energy to make each year: your monthly use × 12 months × the share you want solar to cover
Size the system: divide that by what 1 kW of panels makes in a year (365 days × sun hours × efficiency)
Price it: size in watts × the installed cost per watt
Take off rebates and incentives to get what you really pay
First-year savings: the power you make × its price × how much of that your utility credits, minus upkeep
Payback: savings pass the net cost during year 21. By the start of that year you've saved $41,008.54, and the rest takes part of the year
Net gain over 24 years: total savings minus net cost
10. Payback period: 14.5 years
Work out the energy to make each year: your monthly use × 12 months × the share you want solar to cover
Size the system: divide that by what 1 kW of panels makes in a year (365 days × sun hours × efficiency)
Price it: size in watts × the installed cost per watt
Take off rebates and incentives to get what you really pay
First-year savings: the power you make × its price × how much of that your utility credits, minus upkeep
Payback: savings pass the net cost during year 15. By the start of that year you've saved $14,909.99, and the rest takes part of the year
Net gain over 20 years: total savings minus net cost