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Find the heat produced in 3 ohm resistor in 2 minutes |
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Answer» circuit diagramTo find:Find the heat produced in 3 ohm resistor in 2 minutesSolution:From given, we have, a circuit diagram consisting of 3 Ω and 6 Ω in parallel with 5 Ω and 4 Ω and overall circuit is connected to the voltage SUPPLY of 18 V.First we need to find out the amount of current FLOWING through the circuit.Equivalent resistance is given by,1/R{EQ} = 1/(3 + 6) + 1/(5 + 4)1/R{eq} = 1/9 + 1/9 = 2/9∴ R{eq} = 9/2 ΩSo, the current is given by,I = V/R{eq}I = 18 / (9/2)∴ I = 4 ANow we need to find the heat produced in 3 ohm resistor in 2 minutes.we use the formula,H = I²Rtwhere,H = heat producedI = current R = resistanceand t = timeH = 4² × 3 × 2H = 16 × 6H = 96 cal/min∴ The heat produced in 3 ohm resistor in 2 minutes is 96 cal/min. |
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