JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
An electric field \(\vec E\, = (25 \hat i + 30 \hat j)\,NC^{-1}\) 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......\(volt\)
- A \(-110\)
- B \(-140\)
- C \(-120\)
- D \(-130\)
Answer & Solution
Correct Answer
(A) \(-110\)
Step-by-step Solution
Detailed explanation
As we know, \(\mathrm{E}=-\frac{d v}{d x}\) Potential at the point \(x=2 \,m, y=2 \,m\) is given by : \(\int_{0}^{V} d V=-\int_{0}^{2,2}(25 d x+30 d y)\) on solving we get, \(V=-110\,volt\)
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