Find the Potential Function F for the Field F $$\mathbf { F } = - \frac { 1 } { x } \mathbf { i } + \frac { 1 } { \mathrm { y } } \mathrm { j } - \frac { 1 } { \mathrm { z } } \mathbf { k }$$

question 22

Multiple Choice

Find the potential function f for the field F.
- $$\mathbf { F } = - \frac { 1 } { x } \mathbf { i } + \frac { 1 } { \mathrm { y } } \mathrm { j } - \frac { 1 } { \mathrm { z } } \mathbf { k }$$

• A) \(f ( x , y , z ) = \frac { 1 } { x ^ { 2 } } - \frac { 1 } { y ^ { 2 } } + \frac { 1 } { z ^ { 2 } } + C\)
• B) \(f ( x , y , z ) = \ln ( y - x - z ) + C\)
• C) \(f ( x , y , z ) = \ln \left( \frac { y } { x z } \right) + C\)
• D) \(f ( x , y , z ) = \frac { 1 } { x ^ { 2 } y ^ { 2 } z ^ { 2 } } + C\)

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