[Solved] What is the force between two small charged spheres having charges of 2×10−7C and 3×10−7C placed 30 cm apart in air? - Physics Part-I

Charge on the first sphere, q1= 2×10−7 CCharge on the second sphere, q2= 3×10−7 CDistance between the spheres, r =30cm=0.3mF=4πε0r2q1q2Where, ε0= Permittivity of free space4πε01=9×109Nm2C−2F=(0.3)29×109×2×10−7×3×10−7=6×10−3NHence, force between the two small charged spheres is 6×10−3 N. The charges are of same nature. Hence, force between them will be repulsive.

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Physics Part-I

Electric Charges and Fields

What is the force between two small charged spheres having cha

Physics Part-I

Class 12

NCERT

Chapter 1: Electric Charges and Fields

47 questions

What is the force between two small charged spheres having charges of

2 \times 1 0^{- 7}

C and

3 \times 1 0^{- 7}

C placed 30 cm apart in air?

The electrostatic force on a small sphere of charge

0.4 μ C

due to another small sphere of charge

- 0.8 μ C

in air is 0.2 N.

(a) What is the distance between the two spheres?

(b) What is the force on the second sphere due to the first?

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Easy

Solving time: 2 mins

What is the force between two small charged spheres having charges of $2 \times 1 0^{- 7}$ C and $3 \times 1 0^{- 7}$ C placed 30 cm apart in air?

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Updated on: Feb 22, 2024

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Physics Part-I (NCERT)

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What is the force between two small charged spheres having charges of

2 \times 1 0^{- 7}

C and

3 \times 1 0^{- 7}

C placed 30 cm apart in air?

12 mins ago

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Text solutionVerified

Charge on the first sphere, $q_{1} = 2 \times 1 0^{- 7}$ C

Charge on the second sphere, $q_{2} = 3 \times 1 0^{- 7}$ C

Distance between the spheres, $r = 30 c m = 0.3 m$

$F = \frac{q _{1} q _{2}}{4 π ε _{0} r ^{2}}$

Where, $ε_{0} =$ Permittivity of free space

$\frac{1}{4 π ε _{0}} = 9 \times 1 0^{9} N m^{2} C^{- 2}$

$F = \frac{9 \times 1 0 ^{9} \times 2 \times 1 0 ^{- 7} \times 3 \times 1 0 ^{- 7}}{( 0.3 ) ^{2}} = 6 \times 1 0^{- 3} N$

Hence, force between the two small charged spheres is $6 \times 1 0^{- 3}$ N. The charges are of same nature. Hence, force between them will be repulsive.

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Practice more questions from Physics Part-I (NCERT)

What is the force between two small charged spheres having charges of

2 \times 1 0^{- 7}

C and

3 \times 1 0^{- 7}

C placed 30 cm apart in air?

The electrostatic force on a small sphere of charge

0.4 μ C

due to another small sphere of charge

- 0.8 μ C

in air is 0.2 N.

(a) What is the distance between the two spheres?

(b) What is the force on the second sphere due to the first?

View all

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Question Text	What is the force between two small charged spheres having charges of $2 \times 1 0^{- 7}$ C and $3 \times 1 0^{- 7}$ C placed 30 cm apart in air?
Updated On	Feb 22, 2024
Topic	Electric Charges and Fields
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 60
Upvotes	5627
Avg. Video Duration	4 min

What is the force between two small charged spheres having charges of $2 \times 1 0^{- 7}$ C and $3 \times 1 0^{- 7}$ C placed 30 cm apart in air?

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