Question:
An electric field \(\vec E=(25\,\hat i+30\,\hat j)\ \mathrm{NC^{-1}}\) exists in a region of space. If the potential at the origin is taken to be zero then the potential at x = 2 m, y = 2 m is :
An electric field \(\vec E=(25\,\hat i+30\,\hat j)\ \mathrm{NC^{-1}}\) exists in a region of space. If the potential at the origin is taken to be zero then the potential at x = 2 m, y = 2 m is :
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For a uniform field, V = -(Ex x + Ey y) with V(origin) = 0.
Updated On: Nov 11, 2026
- \(-130\ \mathrm{J}\)
- \(-120\ \mathrm{J}\)
- \(-140\ \mathrm{J}\)
- \(-110\ \mathrm{J}\)
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The Correct Option is D
Solution and Explanation
\(dV=-\vec E\cdot d\vec r=-(E_x\,dx+E_y\,dy)\). For a uniform field, \(V(x,y)-V(0,0)=-(E_xx+E_yy)\).
\(V=-(25\times2+30\times2)=-(50+60)=-110\) (SI units, volt; the option prints J).
Answer: (4) \(-110\ \mathrm{J}\)
\(V=-(25\times2+30\times2)=-(50+60)=-110\) (SI units, volt; the option prints J).
Answer: (4) \(-110\ \mathrm{J}\)
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