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How can three resistors of resistances 2 , 3 and 6 be connec

Science

Class 10

NCERT

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Why are coils of electric toasters and electric irons made of an alloy rather than a pure metal?

How can three resistors of resistances

2Ω, 3Ω

and

6Ω

be connected to give a total resistance of (a)

4Ω

, (b)

1Ω

How is a voltmeter connected in the circuit to measure the potential difference between two points?

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Question

Medium

Solving time: 3 mins

How can three resistors of resistances $2Ω, 3Ω$ and $6Ω$ be connected to give a total resistance of (a) $4Ω$ , (b) $1Ω$ ?

Views: 5,216 students

Updated on: Jun 12, 2023

Book:

Science (NCERT)

Found 6 tutors discussing this question

Noah Discussed

How can three resistors of resistances

2Ω, 3Ω

and

6Ω

be connected to give a total resistance of (a)

4Ω

, (b)

1Ω

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

There are three resistors of resistances

2Ω, 3Ω

, and

6Ω

respectively. (a) The following circuit diagram shows the connection of the three resistors. Solution Image

Here,

6Ω

and

3Ω

resistors are connected in parallel. Therefore, their equivalent resistance will be given by

\frac{1}{\frac{1}{6} + \frac{1}{3}} = \frac{6 \times 3}{6 + 3} = 2Ω

This equivalent resistor of resistance

2Ω

is connected to a

2Ω

resistor in series. Therefore, equivalent resistance of the circuit

= 2Ω + 2Ω = 4Ω

Hence, the total resistance of the circuit is

4Ω

. 2. The following circuit diagram shows the connection of the three resistors. Solution Image

All the resistors are connected in series. Therefore, their equivalent resistance will be given as

\frac{1}{\frac{1}{2} + \frac{1}{3} + \frac{1}{6}} = \frac{1}{\frac{3 + 2 + 1}{6}} = \frac{6}{6} = 1Ω

Therefore, the total resistance of the circuit is

1Ω

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Practice more questions from Science (NCERT)

Why are coils of electric toasters and electric irons made of an alloy rather than a pure metal?

How can three resistors of resistances

2Ω, 3Ω

and

6Ω

be connected to give a total resistance of (a)

4Ω

, (b)

1Ω

How is a voltmeter connected in the circuit to measure the potential difference between two points?

View all

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Question Text	How can three resistors of resistances $2Ω, 3Ω$ and $6Ω$ be connected to give a total resistance of (a) $4Ω$ , (b) $1Ω$ ?
Updated On	Jun 12, 2023
Topic	Electricity
Subject	Science
Class	Class 10
Answer Type	Text solution:1 Video solution: 7
Upvotes	725
Avg. Video Duration	4 min

How can three resistors of resistances $2Ω, 3Ω$ and $6Ω$ be connected to give a total resistance of (a) $4Ω$ , (b) $1Ω$ ?

Text solutionVerified

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How can three resistors of resistances $2Ω, 3Ω$ and $6Ω$ be connected to give a total resistance of (a) $4Ω$ , (b) $1Ω$ ?