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# Help me please, The three resistance of equal value are arranged in the different combinations shown below. Arrange them in increasing order of power dissipationI.II.III.IV.

The three resistance of equal value are arranged in the different combinations shown below. Arrange them in increasing order of power dissipation

I.

II.

III.

IV.

• Option 1)

III < II < IV < I

• Option 2)

II < III < IV < I

• Option 3)

I < IV < III < II

• Option 4)

I < III < II < IV

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As we learnt in

Series Grouping -

Potential - Different

Current - Same

- wherein

&

Parallel Grouping -

Potential - Same

Current - Different

- wherein

$P=\frac{V^{2}}{R}={I^{2}R}$

P is maximum when R is $R_{max}$

$\therefore For(i)\ R_{eff}=3R\ \: \: \: (iii)\ R_{eff}=\frac{R}{3}$

$(iv)\ R_{eff}=\frac{3R}{2}\ \, \, \: \: (ii)\ R_{eff}=\frac{2R}{3}$

$\therefore$ Order of power

iii <  ii < iv < i

Option 1)

III < II < IV < I

This solution is correct

Option 2)

II < III < IV < I

This solution is incorrect

Option 3)

I < IV < III < II

This solution is incorrect

Option 4)

I < III < II < IV

This solution is incorrect

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