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Find the Divergence of the Field F F=yjxk(y2+x2)1/2\mathbf { F } = \frac { y \mathbf { j } - \mathrm { xk } } { \left( \mathrm { y } ^ { 2 } + \mathrm { x } ^ { 2 } \right) ^ { 1 / 2 } }

Question 247

Multiple Choice

Find the divergence of the field F.
- F=yjxk(y2+x2) 1/2\mathbf { F } = \frac { y \mathbf { j } - \mathrm { xk } } { \left( \mathrm { y } ^ { 2 } + \mathrm { x } ^ { 2 } \right) ^ { 1 / 2 } }


A) 0
B) x2y2(y2+x2) 3/2\frac { x ^ { 2 } - y ^ { 2 } } { \left( y ^ { 2 } + x ^ { 2 } \right) ^ { 3 / 2 } }
C) x2(y2+x2) 3/2\frac { x ^ { 2 } } { \left( y ^ { 2 } + x ^ { 2 } \right) ^ { 3 / 2 } }
D) x2(y2+x2) 3/2\frac { - x ^ { 2 } } { \left( y ^ { 2 } + x ^ { 2 } \right) ^ { 3 / 2 } }

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