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20-04-2022
Physics

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Three loads, of 24 A, 8 A, and 12 A are supplied from a 200 V source. If a motor of resistance 2.4 Ohms is also connected across the supply, calculate (a) the total resistance and (b) the total current drawn from the supply.

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20-04-2022

Answer:

See below ~

Explanation:

Total Resistance

R₁ (across 24A load) = 200/24 = 8.33 Ω
R₂ (across 8A load) = 200/8 = 25 Ω
R₃ (across 12A load) = 200/12 = 16.67 Ω
R₄ (given) = 2.4 Ω
R = R₁ + R₂ + R₃ + R₄
R = 8.33 + 25 + 16.67 + 2.4
R = 25 + 25 + 2.4
R = 50.4 Ω

Total Current Drawn

Source Voltage / Total Resistance
200 V / 50.4 Ω
3.97 A (To the nearest hundredth)

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