A heater coil of resistance is connected in parallel with another coil of unknown…

MATHEMATICS · Multi-part · A Level · Mathematics · Quantities and units in mechanics · Quantities and units in mechanics

Problem

A heater coil of resistance R1=10 ΩR_1 = 10\,\Omega is connected in parallel with another coil of unknown resistance R2R_2 across a 24 V24\,\text{V} battery. It is observed that the power developed in the unknown coil is exactly twice the power developed in the 10 Ω10\,\Omega coil. Answer the following. (i) Using the given condition, calculate the value of R2R_2. (ii) Determine the current drawn from the battery by the entire parallel combination. (iii) How much electrical energy is converted into heat in both coils together in 2 min2\,\text{min}?

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