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prasanjit

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  1. Asked: August 27, 2024In: Education

    Given E = 40xyi + 20×2 j + 2k. Calculate the potential between two points (1,-1,0) and (2,1,3).

    prasanjit
    prasanjit Teacher
    Added an answer on September 21, 2024 at 8:46 pm

    Answer: b Explanation: V = -∫ E.dl = -∫ (40xy dx + 20x2 dy + 2 dz), from (2,1,3) to (1,-1,0), we get Vpq on integrating from Q to P. Vpq = 106 volts.

    Answer: b
    Explanation: V = -∫ E.dl = -∫ (40xy dx + 20×2 dy + 2 dz), from (2,1,3) to (1,-1,0), we get Vpq on integrating from Q to P. Vpq = 106 volts.

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  2. Asked: August 27, 2024In: Education

    Find the potential of V = 60sin θ/r2 at P(3,60,25)

    prasanjit
    prasanjit Teacher
    Added an answer on September 21, 2024 at 8:46 pm

    Answer: a Explanation: V = 60sin θ/r2, put r = 3m, θ = 60 and φ = 25, V = 60 sin 60/32 = 5.774 volts.

    Answer: a
    Explanation: V = 60sin θ/r2, put r = 3m, θ = 60 and φ = 25, V = 60 sin 60/32 = 5.774 volts.

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      • 0
  3. Asked: August 27, 2024In: Education

    A point charge 0.4nC is located at (2, 3, 3). Find the potential differences between (2, 3, 3)m and (-2, 3, 3)m due to the charge.

    prasanjit
    prasanjit Teacher
    Added an answer on September 21, 2024 at 8:38 pm

    Answer: c Explanation: Vab = (Q/4πεo)(1/rA) + (1/rB), where rA and rB are position vectors rA =1m and rB = 4m. Thus Vab = 2.7 volts.

    Answer: c
    Explanation: Vab = (Q/4πεo)(1/rA) + (1/rB), where rA and rB are position vectors rA =1m and rB = 4m. Thus Vab = 2.7 volts.

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      • 0
  4. Asked: August 27, 2024In: Education

    Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.

    prasanjit
    prasanjit Teacher
    Added an answer on September 21, 2024 at 8:38 pm

    Answer: d Explanation: V = (1/4πεo) ∑Q/r = (10 X 10-9/4πεo) (0.5 + 0.33 + 0.25 + 0.2 + 0.166 + 0.142) = 143.35 volts.

    Answer: d
    Explanation: V = (1/4πεo) ∑Q/r = (10 X 10-9/4πεo)

    (0.5 + 0.33 + 0.25 + 0.2 + 0.166 + 0.142) = 143.35 volts.

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      • 0
  5. Asked: August 27, 2024In: Education

    A point charge 2nC is located at origin. What is the potential at (1,0,0)?

    prasanjit
    prasanjit Teacher
    Added an answer on September 21, 2024 at 8:30 pm

    Answer: d Explanation: V = Q/(4πεr), where r = 1m V = (2 X 10-9)/(4πε x 1) = 18 volts.

    Answer: d
    Explanation: V = Q/(4πεr), where r = 1m
    V = (2 X 10-9)/(4πε x 1) = 18 volts.

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      • 0
  6. Asked: August 27, 2024In: Education

    Potential difference is the work done in moving a unit positive charge from one point to another in an electric field. State True/False.

    prasanjit
    prasanjit Teacher
    Added an answer on September 21, 2024 at 8:24 pm

    Answer: a Explanation: The electric potential is the ratio of work done to the charge. Also it is the work done in moving a unit positive charge from infinity to a point in an electric field.

    Answer: a
    Explanation: The electric potential is the ratio of work done to the charge. Also it is the work done in moving a unit positive charge from infinity to a point in an electric field.

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      • 0
  7. Asked: August 27, 2024In: Education

    Find the electric field intensity of transformer oil (εr = 2 approx) with density 1/4π (in 109 units)

    prasanjit
    prasanjit Teacher
    Added an answer on September 21, 2024 at 8:23 pm

    Answer: c Explanation: D = εE. E = (1/4π)/(2Xεo) = 4.5 X 109 units.

    Answer: c

    Explanation: D = εE. E = (1/4π)/(2Xεo) = 4.5 X 109 units.

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      • 0
  8. Asked: August 27, 2024In: Education

    If the radius of a sphere is 1/(4π)m and the electric flux density is 16π units, the total flux is given by,

    prasanjit
    prasanjit Teacher
    Added an answer on September 21, 2024 at 5:03 pm

    Answer: c Explanation: Total flux leaving the entire surface is, ψ = 4πr2D from Gauss law. Ψ = 4π(1/16π2) X 16π = 4.

    Answer: c
    Explanation: Total flux leaving the entire surface is, ψ = 4πr2D from Gauss law. Ψ =
    4π(1/16π2) X 16π = 4.

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      • 0
  9. Asked: August 27, 2024In: Education

    Find the flux density of line charge of radius (cylinder is the Gaussian surface) 2m and charge density is 3.14 units?

    prasanjit
    prasanjit Teacher
    Added an answer on September 21, 2024 at 5:02 pm

    Answer: d Explanation: The electric field of a line charge is given by, E = λ/(2περ), where ρ is the radius of cylinder, which is the Gaussian surface and λ is the charge density. The density D = εE = λ/(2πρ) = 3.14/(2π X 2) = 1/4 = 0.25.

    Answer: d
    Explanation: The electric field of a line charge is given by, E = λ/(2περ), where ρ is the
    radius of cylinder, which is the Gaussian surface and λ is the charge density. The
    density D = εE = λ/(2πρ) = 3.14/(2π X 2) = 1/4 = 0.25.

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      • 0
  10. Asked: August 27, 2024In: Education

    A uniform surface charge of σ = 2 μC/m2 , is situated at z = 2 plane. What is the value of flux density at P(1,1,1)m?

    prasanjit
    prasanjit Teacher
    Added an answer on September 21, 2024 at 5:00 pm

    Answer: b Explanation: The flux density of any field is independent of the position (point). D = σ/2 =2 X 10-6(-az)/2 = -10-6.

    Answer: b
    Explanation: The flux density of any field is independent of the position (point). D = σ/2 =2 X 10-6(-az)/2 = -10-6.

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      • 0
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