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JEE Main 202313 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
13 April
Shift
Morning Shift
Subject
Physics
Chapter
Current Electricity

JEE Main 2023 · 13 April · Morning Shift · Physics · Current Electricity

Different combination of 3 resistors of equal resistance R are...

Different combination of 33 resistors of equal resistance RR are shown in the figures. The increasing order for power dissipation is:

(A) Different combination of 3 resistors of equal resistance R are shown in the figures. The increasing order for power

(B) Different combination of 3 resistors of equal resistance R are shown in the figures. The increasing order for power

(C) Different combination of 3 resistors of equal resistance R are shown in the figures. The increasing order for power

(D) Different combination of 3 resistors of equal resistance R are shown in the figures. The increasing order for power

Options

  1. APB<PC<PD<PA{P}_{B} < {P}_{C} < {P}_{D} < {P}_{A}
  2. BPC<PD<PA<PB{P}_{C} < {P}_{D} < {P}_{A} < {P}_{B}
  3. CPC<PB<PA<PD{P}_{C} < {P}_{B} < {P}_{A} < {P}_{D}
  4. DPA<PB<PC<PD{P}_{A} < {P}_{B} < {P}_{C} < {P}_{D}

Correct answer

C. PC<PB<PA<PD{P}_{C} < {P}_{B} < {P}_{A} < {P}_{D}

Step-by-step solution

The resistances can be calculated as

RA=R+R2=3R2{R}_{A} = R + \dfrac{R}{2} = \dfrac{3R}{2}

For second circuit

1RB=12R+1R=32R⇒RB=2R3\dfrac{1}{{R}_{B}} = \dfrac{1}{2R} + \dfrac{1}{R} = \dfrac{3}{2R} ⇒ {R}_{B} = \dfrac{2R}{3}

For third circuit

RC=R3{R}_{C} = \dfrac{R}{3}

For fourth circuit

RD=3R{R}_{D} = 3R

The formula for power is given by P=I2RP = {I}^{2}R.

Clearly,

PD>PA>PB>PC{P}_{D} > {P}_{A} > {P}_{B} > {P}_{C}

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