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QJEEM23Ph4127: JEE Main 2023 Physics - Class 12 JEEM23Ph4127 Solution: Different combination of 3 resistors of equal resistance are…

Different combination of 3 resistors of equal resistance R\mathrm{R} are shown in the figures. The increasing order for power dissipation is:

JEE Main 2023 (Online) 13th April Morning Shift Physics - Current Electricity Question 79 English

Multiple Choice Options

  • A PB<PC<PD<PA\mathrm{P}_{\mathrm{B}}<\mathrm{P}_{\mathrm{C}}<\mathrm{P}_{\mathrm{D}}<\mathrm{P}_{\mathrm{A}}
  • B PC<PB<PA<PD\mathrm{P}_{\mathrm{C}}<\mathrm{P}_{\mathrm{B}}<\mathrm{P}_{\mathrm{A}}<\mathrm{P}_{\mathrm{D}}
  • C PC<PD<PA<PB\mathrm{P}_{\mathrm{C}}<\mathrm{P}_{\mathrm{D}}<\mathrm{P}_{\mathrm{A}}<\mathrm{P}_{\mathrm{B}}
  • D PA<PB<PC<PD\mathrm{P}_{\mathrm{A}}<\mathrm{P}_{\mathrm{B}}<\mathrm{P}_{\mathrm{C}}<\mathrm{P}_{\mathrm{D}}

Step-by-Step Verified Solution

P=I2R\mathrm{P}=\mathrm{I}^2 \mathrm{R}

R1=3R2,R2=2R3,R3=R3,R4=3R\mathrm{R}_1=\frac{3 \mathrm{R}}{2}, \mathrm{R}_2=\frac{2 \mathrm{R}}{3}, \mathrm{R}_3=\frac{\mathrm{R}}{3}, \mathrm{R}_4=3 \mathrm{R}

Since i\mathrm{i} is same, hence P∝R\mathrm{P} \propto \mathrm{R} so options (B) is correct

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