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Calculate the power used in the 2 resistor in each of the fol

Science

Class 10

NCERT

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Calculate the power used in the $2 Ω$ resistor in each of the following circuits:

(i) a $6 V$ battery in series with $1 Ω$ and $2 Ω$ resistors, and (ii) a $4 V$ battery in parallel with $12 Ω$ and $2 Ω$ resistors.

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Question

Medium

Solving time: 4 mins

Calculate the power used in the $2 Ω$ resistor in each of the following circuits:
(i) a $6 V$ battery in series with $1 Ω$ and $2 Ω$ resistors, and (ii) a $4 V$ battery in parallel with $12 Ω$ and $2 Ω$ resistors.

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Updated on: Feb 29, 2024

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Science (NCERT)

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Scarlett Discussed

Calculate the power used in the $2 Ω$ resistor in each of the following circuits:

(i) a $6 V$ battery in series with $1 Ω$ and $2 Ω$ resistors, and (ii) a $4 V$ battery in parallel with $12 Ω$ and $2 Ω$ resistors.

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15 mins ago

Text solutionVerified

(i)

For resistors in series,

R_{e q} = R_{1} + R_{2}

R_{e q} = 1 + 2 = 3 Ω

From Joule's Law of heating,

P = V^{2} / R_{e q}

= 6^{2} /3

= 12 W

(ii)

For resistors in parallel,

\frac{1}{R _{e q}} = \frac{1}{R _{1}} + \frac{1}{R _{2}}

R_{e q} = 12/7 Ω

From Joule's Law of heating,

P = V^{2} / R_{e q}

= \frac{4 ^{2}}{12/7}

= 9.33 W

As calculated, power used in case (i) is more than power used in case (ii).

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Calculate the power used in the $2 Ω$ resistor in each of the following circuits:

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Question Text	Calculate the power used in the $2 Ω$ resistor in each of the following circuits: (i) a $6 V$ battery in series with $1 Ω$ and $2 Ω$ resistors, and (ii) a $4 V$ battery in parallel with $12 Ω$ and $2 Ω$ resistors.
Updated On	Feb 29, 2024
Topic	Electricity
Subject	Science
Class	Class 10
Answer Type	Text solution:1 Video solution: 30
Upvotes	3025
Avg. Video Duration	6 min

Calculate the power used in the $2 Ω$ resistor in each of the following circuits:
(i) a $6 V$ battery in series with $1 Ω$ and $2 Ω$ resistors, and (ii) a $4 V$ battery in parallel with $12 Ω$ and $2 Ω$ resistors.

Text solutionVerified

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Calculate the power used in the 2 Ω resistor in each of the following circuits:(i) a 6 V battery in series with 1 Ω and 2 Ω resistors, and (ii) a 4 V battery in parallel with 12 Ω and 2 Ω resistors.

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