JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
If the electric potential at any point \((x, y, z) \,m\) in space is given by \(V =3 x ^{2}\) volt. The electric field at the point \((1,0,3) \,m\) will be ............
- A \(3 \,Vm ^{-1}\), directed along positive \(x\)-axis
- B \(3 \,Vm ^{-1}\), directed along negative \(x\)-axis
- C \(6 \,Vm ^{-1}\), directed along positive \(x\)-axis
- D \(6 \,Vm ^{-1}\), directed along negative \(x\)-axis
Answer & Solution
Correct Answer
(D) \(6 \,Vm ^{-1}\), directed along negative \(x\)-axis
Step-by-step Solution
Detailed explanation
\(E _{ x }=-\frac{\partial V }{\partial x }=-6 x\) At \((1,0,3)\) \(\overrightarrow{ E }=-6 \,V / m \hat{ i }\)
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