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The electric field in a region of space is spherically symmetric and radially outward. The flux of electric field through a sphere of radius $r$ , centred at origin is $ϕ = k r^{4} .$ Which of the following is the correct relation between electric field strength with radial distance $r$ from origin?

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Important Questions on Electric Charges and Fields

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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 11

If electric field in a region is given by

\vec{E} = \frac{E_{0} . x}{l} \hat{i} + \frac{E_{0} . y^{2}}{l^{2}} \hat{j} + \frac{E_{0} . z^{3}}{l^{3}} \hat{k}

where

E_{0} = 5 \times 10^{3} \frac{N}{C}, l = 2 cm .

then electric flux passing through the plane

x = 2 cm .

The plane is a square of side

2 cm .

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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 12

If electric field in a region is given as

\vec{E} = \frac{E_{0} . x}{l} \hat{i} + \frac{E_{0} . y^{2}}{l^{2}} \hat{j} + \frac{E_{0} . z^{3}}{l^{3}} \hat{k} (E_{0} = 5 \times 10^{3} \frac{N}{C}, l = 2 cm)

, then calculate the flux of electric field passing through a rectangular plane

(2 cm \times 1 cm)

y = 2 cm

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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 13

If electric field in a region is given by

\vec{E} = \frac{E_{0} . x}{l} \hat{i} + \frac{E_{0} . y^{2}}{l^{2}} \hat{j} + \frac{E_{0} . z^{3}}{l^{3}} \hat{k}

where

E_{0} = 5 \times 10^{3} \frac{N}{C}, l = 2 cm .

then electric flux passing through the plane

x = 2 cm .

The plane is a square of side

2 cm .

The flux passing through a triangular plane (Area

2 {cm}^{2}

) at

z = 0

will be

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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 14

The electric flux through ring shown in figure is

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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 15

A ball of radius

R

carries a positive charge whose volume charge density depends only on the distance

r

from the ball's centre as

ρ = ρ_{0} [1 - \frac{r}{R}]

where

ρ_{0}

is a constant.
The electric field at distance

r > R

will be

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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 16

Inside a uniformly charged ball, at

r = r_{m}

, the electric field is maximum. Then (Given,

ρ = ρ_{0} (1 - \frac{r}{R})

is volume charge density)

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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 17

Inside a uniformly charged ball, at

r = r_{m}

, the electric field is maximum. The maximum electric field inside ball is (Given,

ρ = ρ_{0} (1 - \frac{r}{R})

is volume charge density)

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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 19

A dipole having charges $+ q$ and $- q$ is fixed on a rough surface as shown. Another charge $Q$ of mass $m$ is placed at distance $d$ from this dipole. The minimum value of $d$ for which charge $Q$ will not move. (Given $a < < d$ , co-efficient of static friction $μ_{s} = 0.5$ )

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The electric field in a region of space is spherically symmetric and radially outward. The flux of electric field through a sphere of radius r, centred at origin is ϕ=kr4. Which of the following is the correct relation between electric field strength with radial distance r from origin?

Important Questions on Electric Charges and Fields

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