Different combination of 3 resistors of equal resistance R are shown in the figures. The increasing order…

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

(A) 

(B) 

(C) 

(D) 

  1. PB<PC<PD<PA
  2. PC<PD<PA<PB
  3. PC<PB<PA<PD
  4. PA<PB<PC<PD

Solution

The resistances can be calculated as

RA=R+R2=3R2

For second circuit

1RB=12R+1R=32R⇒RB=2R3

For third circuit

RC=R3

For fourth circuit

RD=3R

The formula for power is given by P=I2R.

Clearly, 

PD>PA>PB>PC 

Asked in: JEE Main 2023 (13 Apr Shift 1)

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