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Physics Electric Charge and Field

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2 months ago

Physics Electric Charge and Field Class 12th

Two point charge Q each are placed at a distance d apart. A third point charge q is placed at a distance x from mid-point on the perpendicular bisector. The value of x at which charge q will experience the maximum Coulomb's force is:

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Vishal Baghel

Contributor-Level 10

According to question, we can write

$F_{C A} = F_{C B} = \frac{K q Q}{x^{2} + {(\frac{d}{2})}^{2}} \Rightarrow F = 2 F_{C A} c o s θ = \frac{2 K q Q x}{{[x^{2} + {(\frac{d}{2})}^{2}]}^{\frac{3}{2}}}$

For maxima of force $\frac{d F}{d x} = 0, s o$

$x = \frac{d}{2 \sqrt[]{2}}$

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Physics Electric Charge and Field Class 12th

The three charges q/2, q and q/2 are placed at the corners A, B and C of a square of side 'a' as shown in figure. The magnitude of electric field (E) at the corner D of the square, is:

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Raj Pandey

Contributor-Level 9

$E = \frac{k q}{2 a^{2}}$

$E' = \frac{k q}{{(\sqrt[]{2} a)}^{2}} = \frac{k q}{2 a^{2}}$
$E_{N e t} = 2 E c o s 45 ° + E'$

$= \frac{k q}{a^{2}} (\frac{1}{\sqrt[]{2}} + \frac{1}{2})$

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Physics Electric Charge and Field Class 12th

Given below are two statements:

Statement – I : A point change is brought in an electric field. The value of electric field at a point near to the change may increase if the charge is positive.

Statement – I : An electric dipole is placed in a non-uniform electric field. The net electric force on the dipole will not be zero.

Choose the correct answer from the options given below

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Raj Pandey

Contributor-Level 9

Kindly consider the following Image

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Physics Electric Charge and Field Class 12th

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alok kumar singh

Contributor-Level 10

According to question, we can write

^{$F_{C A} = F_{C B} = \frac{K q Q}{x^{2} + {(\frac{d}{2})}^{2}} \Rightarrow F = 2 F_{C A} c o s θ = \frac{2 K q Q x}{{[x^{2} + {(\frac{d}{2})}^{2}]}^{\frac{3}{2}}}$}

For maxima of force $\frac{d F}{d x} = 0, s o$

$x = \frac{d}{2 \sqrt[]{2}}$

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2 months ago

Physics Electric Charge and Field Class 12th

Two balls of same mass and carrying equal charge are hung by threads of length $l$ from a fixed support. At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, $x$ between the balls is proportional to:

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Raj Pandey

Contributor-Level 9

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Physics Electric Charge and Field Class 12th

A charge q of mass m enters a region of electric field E = -E₀ĵ with a velocity v₀î + v₀ĵ at origin. Find the x coordinate where the charge hits the x axis again. (Neglect effect of gravity)

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Vishal Baghel

Contributor-Level 10

In y axis u? = v? a? = -E? q / m
s? = 0, u? t + (1/2)a? t² = 0 ⇒ t = 2u? /a? = 2v? m/E? q
x coordinate at that time = v? * t = (2v? m/0) * v? = (2v? ²m)/E? q

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Physics Electric Charge and Field Class 12th

In the figure, a very large plane sheet of positive charge is shown. P1 and P2 are two points at distance $l a n d 2 l$ from the charge distribution. If $σ$ is the surface charge density, then the magnitude of electric fields E1 and E2 at P1 and P2 respectively are:

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Raj Pandey

Contributor-Level 9

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Physics Electric Charge and Field Class 12th

A short dipole of dipole moment P is placed along x – axis at a distance d from a long wire having uniform linear charge density +λ (wire is along y – axis) as shown. Find minimum work required to align this dipole along y axis (so that dipole moment P is along +y direction)