An infinite line charge produces an electric field of 1 . 8 × 10 5 N C - 1 at a distance of 2 cm . Calculate the linear charge density.

Given, The electric field produced by the infinite linear charge E = 1 . 8 × 10 5 N C - 1 Distance at which electric field is calculated d = 2 cm = 2 × 10 - 2 m Electric field due to infinite linear charge at a distance d from it is E = λ 2 π ε ∘ d ⇒ λ = 2 π ε ∘ E d = 4 π ε ∘ E d 2 = 18 × 10 4 × 0 . 02 9 × 10 9 × 2 = 0 . 02 × 10 - 5 C m - 1 = 0 . 2 μ C m - 1 Hence, the linear charge density is 0 . 2 μ C m - 1 .

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The charge present in a doubly ionized helium atom is

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Important Questions on Electrostatics

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Physics>Electricity and Magnetism>Electrostatics>Electric Charge and Its Basic Properties

State the principle of conservation and principle of quantization of electric charge.

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Physics>Electricity and Magnetism>Electrostatics>Electric Charge and Its Basic Properties

Which experiment established that the electric charge is quantised?

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Physics>Electricity and Magnetism>Electrostatics>Electric Charge and Its Basic Properties

An infinite line charge produces an electric field of

1.8 \times 10^{5} N C^{- 1}

at a distance of

2 cm

. Calculate the linear charge density.

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Physics>Electricity and Magnetism>Electrostatics>Electric Charge and Its Basic Properties

The dimensional formula of charge is _____.

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Physics>Electricity and Magnetism>Electrostatics>Electric Charge and Its Basic Properties

Name two basic properties of electric charge.

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Physics>Electricity and Magnetism>Electrostatics>Electric Charge and Its Basic Properties

The attractive force results when a glass rod rubbed with a silk and a plastic rod rubbed with a fur brings together. During friction which type of charges are developed on glass rod and plastic rod?

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Physics>Electricity and Magnetism>Electrostatics>Electric Charge and Its Basic Properties

The charge on one electron is :

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Physics>Electricity and Magnetism>Electrostatics>Electric Charge and Its Basic Properties

Give three properties of electric charge.

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Charge and Its Basic Properties

Ten charges are placed on the circumference of a circle of radius

R

with constant angular separation between successive charges. Alternate charges

1, 3, 5, 7, 9

have charge

(+ q)

each, while

2, 4, 6, 8, 10

have charge

(- q)

each. The potential V and the electric field E at the centre of the circle are respectively : (Take

V = 0

at infinity)

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Physics>Electricity and Magnetism>Electrostatics>Electric Charge and Its Basic Properties

As shown in the figure, two particles, each of mass $' m'$ tied at the ends of a light string of length $2 a$ are kept on a frictionless horizontal surface. When the mid point $(P)$ of the string is pulled vertically upwards with a small but constant force $F,$ the particles move towards each other on the surface. Magnitude of acceleration of each particle, when the separation between them becomes $2 x$ is