Question

2 resistors of 2 ohm are connected in series and then in parallel.Find the ratio of heat produced by them
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Answer 1

Given :

Two resistors of 2Ω are connected in series ans then in parallel.

To Find :

The ratio of heat produced by them.

Solution :

❒ First of all we need to find equivalent resistance of series and then of parallel.

1. Series connection :

➠ Rs = R₁ + R₂

➠ Rs = 2 + 2

➠ Rs = 4Ω

2. Parallel connection :

➠ 1/Rp = 1/R₁ + 1/R₂

➠ 1/Rp = 1/2 + 1/2

➠ 1/Rp = 2/2

➠ Rp = 1Ω

❒ Ratio of heat produced :-

$\sf:\implies\:\dfrac{H_s}{H_p}=\dfrac{V^2\times R_s}{t}\times \dfrac{t}{V^2\times R_p}$

$\sf:\implies\:\dfrac{H_s}{H_p}=\dfrac{R_s}{R_p}$

$\sf:\implies\:\dfrac{H_s}{H_p}=\dfrac{4}{1}$

$:\implies\:\underline{\boxed{\bf{\purple{H_s:H_p=4:1}}}}$

Answer 2

Answer:

Given :

Two resistors of 2Ω are connected in series ans then in parallel.

To Find :

The ratio of heat produced by them.

Solution :

❒ First of all we need to find equivalent resistance of series and then of parallel.

1. Series connection :

➠ Rs = R₁ + R₂

➠ Rs = 2 + 2

➠ Rs = 4Ω

2. Parallel connection :

➠ 1/Rp = 1/R₁ + 1/R₂

➠ 1/Rp = 1/2 + 1/2

➠ 1/Rp = 2/2

➠ Rp = 1Ω