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Two conducting wires of the same material and of equal lengths

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Class 10

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. Calculate the heat developed in 30 seconds.

Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then in parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be :

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Question

Hard

Solving time: 4 mins

Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then in parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be :

1:2

2:1

1:4

4:1

Views: 6,309 students

Updated on: Jan 7, 2023

Book:

Science (NCERT)

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Text solutionVerified

Since the two wires have same material, length and diameter, they have the same resistance. Let the resistance of each wire be R.

Let applied potential difference be

V

R_{ser i es} = R_{1} + R_{2}

= R + R = 2 R

P_{ser i es} = V^{2} / R_{ser i es}

= V^{2} / (2 R) .......... (i)

\frac{1}{R _{p a r a ll e l}} = \frac{1}{R _{1}} + \frac{1}{R _{2}}

R_{p a r a ll e l} = R /2

P_{p a r a ll e l} = V^{2} / R_{p a r a ll e l}

= 2 V^{2} / R ............ (ii)

Dividing (ii) from (i),

\frac{P _{ser i es}}{P _{p a r a ll e l}} = 1/4

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Question Text	Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then in parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be :
Updated On	Jan 7, 2023
Topic	Electricity
Subject	Science
Class	Class 10
Answer Type	Text solution:1 Video solution: 4
Upvotes	453
Avg. Video Duration	6 min

Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then in parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be :

Text solutionVerified

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