"If the electric potential at any point (x, y, z) m in space is given by V = 3x2 volt. The electric field at the point (1, 0, 3) m will be :"

" $\\overrightarrow E = -{{dV} \\over {dx}}\\widehat i$ \n $\\overrightarrow E = - 6x\\widehat i$ \n So, $\\overrightarrow E$ at (1, 0, 3) is \n $\\overrightarrow E = - 6\\widehat i$ V/m "

Easy MCQ +4 / -1 PYQ · JEE Mains 2022

If the electric potential at any point (x, y, z) m in space is given by V = 3x² 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. Correct answer

Solution

$\overrightarrow E = -{{dV} \over {dx}}\widehat i$ $\overrightarrow E = - 6x\widehat i$ So, $\overrightarrow E$ at (1, 0, 3) is $\overrightarrow E = - 6\widehat i$ V/m

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Subject: Physics · Chapter: Electrostatics · Topic: Electric Potential and Capacitance

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If the electric potential at any point (x, y, z) m in space is given by V = 3x2 volt. The electric field at the point (1, 0, 3) m will be :

Solution

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If the electric potential at any point (x, y, z) m in space is given by V = 3x² volt. The electric field at the point (1, 0, 3) m will be :