Parallel Resistors: Why Two Equal Values Halve
Two resistors in parallel: R = R1 × R2 ÷ (R1 + R2). Two 100 Ω parts give 50 Ω, and the total is always below the smallest branch.
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Two resistors in parallel: R = R1 × R2 ÷ (R1 + R2). Two 100 Ω parts give 50 Ω, and the total is always below the smallest branch.
Resistors in series simply add: R(total) = R1 + R2 + R3. Values of 100 Ω, 220 Ω and 330 Ω give 650 Ω and about 18.5 mA from a 12 V supply.
Series resistors add: 100 + 220 + 330 = 650 Ω. In parallel the same three give 56.9 Ω. Formulas, shortcuts and a sanity check for each case.
Autonomy = battery kWh × usable fraction × inverter efficiency ÷ load kW. A 10 kWh bank at 80% usable, 90% efficient and 1.2 kW lasts 6 hours.
The DC/AC ratio is array kW ÷ inverter kW. A 6 kW array on a 5 kW inverter gives 1.2, so output flattens when the array makes more than 5 kW.
₹3,00,000 net cost and ₹45,000 yearly savings pays back in about 6.7 years on the simple method. See degradation and tariff rises change it to about 6.2.
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