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An electric field vecE = vec(i20 + vecj3...

An electric field `vecE = vec(i20 + vecj30 ) NC^(-1)` exists in the space. If the potential at the origin is taken to be zero find the potential at (2m, 2m).

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AI Generated Solution

To find the electric potential at the point (2m, 2m) given the electric field \(\vec{E} = 20 \hat{i} + 30 \hat{j} \, \text{N/C}\) and that the potential at the origin is zero, we can follow these steps: ### Step 1: Understand the relationship between electric field and potential The electric potential \(V\) at a point in an electric field can be calculated using the formula: \[ V = V_0 - \int_{\text{path}} \vec{E} \cdot d\vec{r} \] where \(V_0\) is the potential at the starting point (in this case, the origin), \(\vec{E}\) is the electric field, and \(d\vec{r}\) is the differential displacement vector along the path. ...
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HC VERMA ENGLISH-ELECTRIC FIELD AND POTENTIAL-Exercises
  1. An electric field of 20 N//C exists along the x-axis in space. Calcula...

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  2. Consider the situation of the previous problem. A charge of 2.0xx 10 ^...

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  3. An electric field vecE = vec(i20 + vecj30 ) NC^(-1) exists in the spac...

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  4. An electric field vecE = vec I Ax exists in the space, where A= 10 V ...

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  5. The electric potential existing in space is V(x,y,z)= A (xy+ yz+zx).(a...

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  6. Two charged particles, having equal charges of 2.0xx 10^(-5) C each, a...

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

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  8. Consider a circular ring of radius r, uniformly charged with linear ch...

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  9. An electric field of magnitude 1000 NC ^(-1) is produced between two p...

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  10. A uniform field of 2.0 NC^(-1) exists in space in x direction (a) Taki...

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  11. How much work has to be done in assembling three charged particles at ...

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  12. The kinetc energy of a chargd particle decreased by 10 J as it moves f...

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  13. Two identical particles, each having a charge of 2.0xx10^(-4) C and m...

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  14. Two particles have equal masses of 5.0 g each and opposite charges of ...

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  15. A smple of HCl gas is placed in an electric field of 2.5xx 10^4 NC^(-1...

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  16. Two particles A and B, having opposite charges2.0xx 10^(-6) and -2.0 ...

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  17. Three charges are arranged on the vertices of an equilateral triangle ...

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  18. find the magnitude of the electric field at the point P in the configu...

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  19. Two particles, carrying charges -q and +q and having equal masses m ea...

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  20. Assume that each atom in a copper wire contributes one free electron. ...

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