The electric potential existing in space is $V (x, y, z) = A (x y + y z + z x)$ . If A is $10$ SI units, find the magnitude of the electric field at $(1 m, 1 m, 1 m)$ :

20 \sqrt{2}

N/C

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20 \sqrt{3}

N/C

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10 \sqrt{3}

N/C

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20

N/C

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Solution

The correct option is B $20 \sqrt{3}$ N/C
$\to E = - ▽ V = - A [(y + z)^i + (z + x)^j + (y + x)^k] = - 10 [2^i + 2^j + 2^k] = 20 \sqrt{3} N / C$

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The electric potential existing in space is V(x,y,z)=A(xy+yz+zx). If A is 10 SI units, find the magnitude of the electric field at (1m,1m,1m) :

The correct option is B 20√3 N/C→E=−▽V=−A[(y+z)^i+(z+x)^j+(y+x)^k]=−10[2^i+2^j+2^k]=20√3N/C

The electric potential existing in space is $V (x, y, z) = A (x y + y z + z x)$ . If A is $10$ SI units, find the magnitude of the electric field at $(1 m, 1 m, 1 m)$ :

The correct option is B $20 \sqrt{3}$ N/C
$\to E = - ▽ V = - A [(y + z)^i + (z + x)^j + (y + x)^k] = - 10 [2^i + 2^j + 2^k] = 20 \sqrt{3} N / C$