Different combination of 3 resistors of equal resistance R are shown in the figures. The increasing order for power dissipation is: [2023]

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Q.
Different combination of 3 resistors of equal resistance R are shown in the figures.

The increasing order for power dissipation is: [2023]

1 $P_{A} < P_{B} < P_{C} < P_{D}$

2 $P_{C} < P_{D} < P_{A} < P_{B}$

3 $P_{B} < P_{C} < P_{D} < P_{A}$

4 $P_{C} < P_{B} < P_{A} < P_{D}$

Ans.
(4)

$P = i^{2} R$

$R_{1} = \frac{3 R}{2}, R_{2} = \frac{2 R}{3}, R_{3} = \frac{R}{3}, R_{4} = 3 R$

$Since i is same, hence P \propto R, so option (4) is correct.$

Solution

Q.
Different combination of 3 resistors of equal resistance R are shown in the figures.

The increasing order for power dissipation is: [2023]

1 $P_{A} < P_{B} < P_{C} < P_{D}$

2 $P_{C} < P_{D} < P_{A} < P_{B}$

3 $P_{B} < P_{C} < P_{D} < P_{A}$

4 $P_{C} < P_{B} < P_{A} < P_{D}$

Ans.
(4)

$P = i^{2} R$

$R_{1} = \frac{3 R}{2}, R_{2} = \frac{2 R}{3}, R_{3} = \frac{R}{3}, R_{4} = 3 R$

$Since i is same, hence P \propto R, so option (4) is correct.$

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Solution

Q. Different combination of 3 resistors of equal resistance R are shown in the figures. The increasing order for power dissipation is: [2023]

1 PA<PB<PC<PD

2 PC<PD<PA<PB

3 PB<PC<PD<PA

4 PC<PB<PA<PD

Ans. (4) P=i2R R1=3R2, R2=2R3, R3=R3, R4=3R Since i is same, hence P∝R, so option (4) is correct.

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Q.
Different combination of 3 resistors of equal resistance R are shown in the figures.

The increasing order for power dissipation is: [2023]

1 $P_{A} < P_{B} < P_{C} < P_{D}$

2 $P_{C} < P_{D} < P_{A} < P_{B}$

3 $P_{B} < P_{C} < P_{D} < P_{A}$

4 $P_{C} < P_{B} < P_{A} < P_{D}$

Ans.
(4)

$P = i^{2} R$

$R_{1} = \frac{3 R}{2}, R_{2} = \frac{2 R}{3}, R_{3} = \frac{R}{3}, R_{4} = 3 R$

$Since i is same, hence P \propto R, so option (4) is correct.$