Electric Field & Superposition Principle questions with solutions

Showing 1–10 of 109 questions

• MCQmediumElectrostaticElectric Field & Superposition Principle

  A thin circular ring of radius R carries total charge q uniformly. A point charge Q of the same sign is placed at the centre. Neglect deformation of the ring. The increase ΔT in the tensile force in the ring is:

  Options

  • Option A

    kQq/(2πR²)

  • Option B

    kQq/(πR²)

  • Option C

    kQq/(4πR²)

  • Option D

    2kQq/(πR²)

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• MCQmediumElectrostaticElectric Field & Superposition Principle

  Two point charges q₁ = 2 μC and q₂ = 1 μC are placed at distances b = 1 cm and a = 2cm from the origin on the y and x axes as shown in figure the electric field vector at point P(a, b) will subtend an angle θ with x-axis given by -

  

  Options

  • Option A

    tan θ = 1

  • Option B

    tan θ = 2

  • Option C

    tan θ = 3

  • Option D

    tan θ = 4

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• MCQmediumElectrostaticElectric Field & Superposition Principle

  If the line charge densities are λ and -λ. as shown in figure. Find the electric field at P.

  

  Options

  • Option A

    $\frac{2k\lambda}{x}cot\left(\frac{\theta}{2}\right)$

  • Option B

    $\frac{4k\lambda}{x}cot\left(\frac{\theta}{2}\right)$

  • Option C

    $\frac{2k\lambda}{x}tan\left(\frac{\theta}{2}\right)$

  • Option D

    $\frac{4k\lambda}{x}tan\left(\frac{\theta}{2}\right)$

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• MCQmediumElectrostaticElectric Field & Superposition Principle

  A uniformly charged thin hemispherical shell of radius R occupies x ≥ 0, with its equatorial plane at x = 0. At the point P(x,0,0), 0 < x < R,the electric field is $\vec{E}$.What is the electric field at the mirror point Q(-x,0,0)?

  

  Options

  • Option A

    $\vec{E}$

  • Option B

    -$\vec{E}$

  • Option C

    2$\vec{E}$

  • Option D

    0

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• MCQmediumElectrostaticElectric Field & Superposition Principle

  A particle of charge ‘–q’ and mass ‘m’ moves in a circle of radius ‘r’ around an infinitely long line charge of linear density ‘+λ’. Then time period will be given as: (Consider k as Coulomb’s constant)

  Options

  • Option A

    2πr√(m/(2kλq))

  • Option B

    2πr√(m/(2kλq))

  • Option C

    (1/2πr)√(m/(2kλq))

  • Option D

    (1/2π)√(2kλq/m)

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• MCQmediumElectrostaticElectric Field & Superposition Principle

  Two point charges q₁ and q₂ lie on a circle of unit radius. The electric field at the centre is $\vec{E}$. If $\vec{r_1}$ is the position vector of the centre with respect to q₁, find $\vec{r_2}$, the position vector of the centre with respect to q₂.

  Options

  • Option A

    ($\vec{E}$+ kq₁$\vec{r_1}$)/(kq₂)

  • Option B

    -($\vec{E}$+ kq₁$\vec{r_1}$)/(kq₂)

  • Option C

    (kq₁$\vec{r_1}$ - $\vec{E}$)/(kq₂)

  • Option D

    ($\vec{E}$- kq₁$\vec{r_1}$)/( kq₂)

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• MCQmediumElectrostaticElectric Field & Superposition Principle

  A wheel having mass m has charges +q and -q on diametrically opposite points. It remains in equilibrium on a rough inclined plane in the presence of uniform vertical electric field E =

  

  Options

  • Option A

    $\frac{mg}{q}$

  • Option B

    $\frac{mg}{2q}$

  • Option C

    $\frac{mg\tan\theta}{2q}$

  • Option D

    None

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• NumericmediumElectrostaticElectric Field & Superposition Principle

  A thin conducting ring of radius r has an electric charge +Q. If a point charge q is placed at the center of the ring, the increment in tension in the ring will be $\frac{Qq}{n\pi^2\epsilon_{\omicron}r^2}$ . Find n.

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• NumericmediumElectrostaticElectric Field & Superposition Principle

  Two particles of mass m each, carrying charges +q and -q, are joined by a light rod of length 6a as shown. The system is on a horizontal frictionless surface. Two springs are connected to the rod, which is hinged at C. A uniform electric field exists throughout the region. The rod is given a small angular displacement from equilibrium. If the frequency of small oscillation is ν, find 4ν. Given m =$\frac{k}{3\pi^2}$ kg and Eq = 8ka.

  

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• NumericmediumElectrostaticElectric Field & Superposition Principle

  Consider a regular cube with charge +Q at every corner except one corner, where the charge is -Q. The distance from every corner to the centre P is r. If the electric-field magnitude at P is E = nkQ/r², find n.

  

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