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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

 
Answers (1)
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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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