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Can someone help me with this, The electric potential V at any point (x, y, z), all in meters in space is given by V = 4x2volt. The electric field at the point (1, 0, 2) in volt/meter is

The electric potential V at any point (x, y, z), all in meters in space is given by V = 4x2 volt. The electric field at the point (1, 0, 2) in volt/meter is 

  • Option 1)

    8 along positive X-axis

  • Option 2)

    16 along negative X-axis

  • Option 3)

    16 along positive X-axis

  • Option 4)

    8 along negative X-axis

 
Answers (1)
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\vec{E} = \frac{\vartheta v}{\vartheta y}\:\hat{j} =8x\:\hat{j}

at \left ( 1,0,2 \right ), \vec{E} = -8\: v/m, \hat{j}

i.e .along negative

x-axis


Option 1)

8 along positive X-axis

Incorrect

Option 2)

16 along negative X-axis

Incorrect

Option 3)

16 along positive X-axis

Incorrect

Option 4)

8 along negative X-axis

Correct

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