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The electric potential V at any point (x...

The electric potential V at any point (x, y) in a plane is given by `V=5x^(2)-4y^(2)` volt. Find the magnitude of electric field intensity at the point (1m, 2m).

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To find the magnitude of electric field intensity at the point (1m, 2m) given the electric potential \( V = 5x^2 - 4y^2 \), we will follow these steps: ### Step 1: Understand the Relationship Between Electric Field and Electric Potential The electric field intensity \( \vec{E} \) is related to the electric potential \( V \) by the negative gradient of the potential: \[ \vec{E} = -\nabla V \] In two dimensions, this can be expressed as: ...
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MODERN PUBLICATION-ELECTROSTATIC POTENTIAL AND CAPACITANCE -Revision Exercises (Numerical Problems)
  1. A 500 mu C charge is at the centre of a square of side 10 cm. Find th...

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  2. A 600 muF capacitor is charged by a 200 V supply. It is then disconnec...

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  3. A particle of mass m and charge(-q) enters the region between the ...

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  4. What is the area of the plates of a 2 farad parallel plate air capac...

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  5. Three capacitors of capacitance 2 pF, 3 pF and 4 pF are connected in...

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  6. (a) A parallel plate capacitor has a capacity of 6muF, with air in bet...

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  7. In the given figure the values of five capacitors are C(1)=C(2)=C(3)=C...

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  8. The electric potential V at any point (x, y) in a plane is given by V=...

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  9. Two identical capacitors of 10 pF each are connected is turn (i) in s...

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  10. Three capacitors are connected as shown in the following figure. Calcu...

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  11. Three identical 10 muF capacitors and a capacitor of capacitance C are...

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  12. Two identical capacitors of 10 pF each are connected in series across ...

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  13. Three concentric metallic shells A, B and C of radii a, b and c(a lt b...

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  14. In a circular parallel plate capacitor radius of each plate is 5 cm an...

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  15. A parallel plate capacitor is to be designed, using a dielectric of di...

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  16. The capacity of a parallel plate capacitor with air is 18 pF. When a d...

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  17. A capacitor of unknown capacitance is connected across a battery of V ...

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  18. The figure shows a network of three capacitors C(1)=2muF, C(2)=6muF an...

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  19. Three identical capacitors C(1) , C(2) and C(3) of capacitance 6 mu F...

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  20. (i) Find equivalent capacitance between A and B in the combination g...

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