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If E=2r^(2) then find V(r)...

If `E=2r^(2)` then find V(r)

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To find the electric potential \( V(r) \) given the electric field \( E = 2r^2 \), we can follow these steps: ### Step 1: Understand the relationship between electric field and potential The electric field \( E \) is related to the electric potential \( V \) by the equation: \[ E = -\frac{dV}{dr} \] This means that the electric field is the negative gradient of the electric potential. ...
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RESONANCE ENGLISH-ELECTROSTATICS-Problems
  1. A charges Q is placed at each of the two opposite corners of a square....

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  2. A large nonconducting sheet M is given a uniform charge density. Two u...

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  3. Figure shows a uniformly charged sphere of radius R and total charge Q...

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  4. Two concentric spherical shells of radius R(1) and R(2) (R(2) gt R(1))...

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  5. A solid non conducting sphere of radius R and uniform volume density r...

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  6. Three uniform spheres each having a mass M and radius a are kept in su...

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  7. A uniform electric field of 20 N/C exists in the vertically downward d...

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  8. An electric field of 20 N C ^(-1) exists along the x-axis in space. Ca...

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  9. Some equipotential surfaces are shown in figure(29.E3) What can you sa...

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  10. A point charge of charge -q and mass m is released with negligible spe...

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  11. Four small point charges (each of equal magnitude q) are placed at fou...

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  12. If V=x^(2)y+y^(2)z then find vec(E) at (x, y, z)

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  13. Magnitude of electric field only on the x-coordinate as vec(E)=20/x^(2...

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  14. If E=2r^(2) then find V(r)

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  15. A charge Q is uniformly distributed over a rod of length l. Consider a...

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  16. A charge Q is placed at the centre of a cube. Find the flux of the ele...

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  17. An isolated conducting sphere of charge Q and radius R is grounded by ...

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  18. An isolated conducting sheet of area A and carrying a charge Q is plac...

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  19. Two uncharged and parallel conducting sheets, each of area A are place...

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  20. A positive charge q is placed in front of conducting solid cube at a d...

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