To size a solar array, divide your daily energy use in watt-hours by your peak sun hours, then divide again by system efficiency. If your home or rig consumes 3,000 Wh per day, receives 4.5 peak sun hours, and runs at 75% system efficiency, you need about 889 watts of solar — roughly three 400W panels. The calculator above returns the exact wattage, the array size in kilowatts, and the number of standard 400W panels required.
The reason you cannot simply divide 3,000 Wh by 4.5 hours (which would suggest 667 W) is that real arrays never deliver their nameplate rating. Heat, wiring resistance, inverter conversion, dust, and charge-controller losses combine to shave 20–30% off the theoretical output. Building that derate into the math up front prevents the single most common off-grid mistake: an undersized array that never fully recharges the battery bank.