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A copper wire has diameter 0.5mm and resistivity of 1.6 10^{-

Science

Class 10

NCERT

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What is (a) the highest, (b) the lowest total resistance that can be secured by combinations of four coils of resistance

4Ω, 8Ω, 12Ω, 24Ω

A copper wire has diameter 0.5mm and resistivity of

1.6 \times 1 0^{- 8} Ω m

. What will be the length of this wire to make its resistance

10Ω

? How much does the resistance change if the diameter is doubled?

The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below -

Plot a graph between V and I and calculate the resistance of that resistor.

View all question

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Question

Medium

Solving time: 3 mins

A copper wire has diameter 0.5mm and resistivity of $1.6 \times 1 0^{- 8} Ω m$ . What will be the length of this wire to make its resistance $10Ω$ ? How much does the resistance change if the diameter is doubled?

Views: 6,544 students

Updated on: Feb 27, 2024

Book:

Science (NCERT)

Found 7 tutors discussing this question

Elijah Discussed

A copper wire has diameter 0.5mm and resistivity of

1.6 \times 1 0^{- 8} Ω m

. What will be the length of this wire to make its resistance

10Ω

? How much does the resistance change if the diameter is doubled?

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

Given, diameter,

d = 0.5 mm

resistivity,

ρ = 1.6 \times 1 0^{- 8} Ω m

Resistance,

R = 10 Ω

Let the length of wire be

l

A = π d^{2} /4

R = ρl / A

= \frac{ρl}{π d ^{2} /4}

⟹ l = \frac{R π d ^{2}}{4 ρ}

l = \frac{10 \times 3.14 \times ( 0.5 \times 1 0 ^{- 3} ) ^{2}}{4 \times 1.6 \times 1 0 ^{- 8}}

l = 122.7 m

R \propto 1/ d^{2}

If the diameter is doubled, resistance will be one-fourth.

Hence, new resistance

= 2.5Ω

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Practice more questions from Science (NCERT)

What is (a) the highest, (b) the lowest total resistance that can be secured by combinations of four coils of resistance

4Ω, 8Ω, 12Ω, 24Ω

A copper wire has diameter 0.5mm and resistivity of

1.6 \times 1 0^{- 8} Ω m

. What will be the length of this wire to make its resistance

10Ω

? How much does the resistance change if the diameter is doubled?

The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below -

Plot a graph between V and I and calculate the resistance of that resistor.

View all

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Question Text	A copper wire has diameter 0.5mm and resistivity of $1.6 \times 1 0^{- 8} Ω m$ . What will be the length of this wire to make its resistance $10Ω$ ? How much does the resistance change if the diameter is doubled?
Updated On	Feb 27, 2024
Topic	Electricity
Subject	Science
Class	Class 10
Answer Type	Text solution:1 Video solution: 75
Upvotes	7320
Avg. Video Duration	8 min

A copper wire has diameter 0.5mm and resistivity of $1.6 \times 1 0^{- 8} Ω m$ . What will be the length of this wire to make its resistance $10Ω$ ? How much does the resistance change if the diameter is doubled?

Text solutionVerified

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