Your math is correct except it will be hard to find an MPPT type charger at 5 amps. So you will probably use a PWM type which changes your watt hours per day to 36 x 4 x 2.0 = 288 Wh.
That increases you panel to 60 watts which is ok since finding a 50 watt panel would be hard to do. You also may not get the 5 hours per day of useful sunlight so you will need a bigger panel with less hours.
Battery size stays the same as well as the 5A charge controller. Although it might be hard to find an inverter of only 50 watts. You may need to go to 100 watts which could increase your battery size somewhat.
This is a bare bones system and has no room to enlarge in case your load increases beyond the 36 watts. You may want to go slightly bigger on panel wattage, battery Ah and charge controller Amps. Try increasing your needed wattage and see what that gets you in calculation. Then go and price the equipment. Spending a little more up front for a slightly bigger system may be worth your while but there is a break point on type of panel and CC once your calculations hit the need for a 200 watt panel.
That increases you panel to 60 watts which is ok since finding a 50 watt panel would be hard to do. You also may not get the 5 hours per day of useful sunlight so you will need a bigger panel with less hours.
Battery size stays the same as well as the 5A charge controller. Although it might be hard to find an inverter of only 50 watts. You may need to go to 100 watts which could increase your battery size somewhat.
This is a bare bones system and has no room to enlarge in case your load increases beyond the 36 watts. You may want to go slightly bigger on panel wattage, battery Ah and charge controller Amps. Try increasing your needed wattage and see what that gets you in calculation. Then go and price the equipment. Spending a little more up front for a slightly bigger system may be worth your while but there is a break point on type of panel and CC once your calculations hit the need for a 200 watt panel.
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