The Correct Form of Ampere's Law for Circuits with Gaps $\oint \mathrm { B } \cdot d \mathbf { s } = 0$

The correct form of Ampere's law for circuits with gaps in them is

A) $\oint \mathrm { B } \cdot d \mathbf { s } = 0$ .
B) $\oint \mathbf { B } \cdot d \mathbf { s } = I _ { \text {enciosed } }$ .
C) $\oint \mathbf { B } \cdot d \mathbf { s } = \mu _ { 0 } I _ { \text {enclosed } }$ .
D) $\oint \mathbf { B } \cdot d \mathbf { s } = \mu _ { 0 } I _ { \text {enclosed } } + \mu _ { 0 } \varepsilon _ { 0 } \frac { d \Phi _ { E } } { d t }$ .
E) $\oint \mathbf { B } \cdot d \mathbf { s } = \mu _ { 0 } I _ { \text {enclosed } } + \mu _ { 0 } \varepsilon _ { 0 } \frac { d \Phi _ { I } } { d t } - \frac { \varepsilon _ { 0 } } { \left( \mu _ { 0 } \right) ^ { 2 } } \frac { d \Phi _ { B } } { d t }$ .

Correct Answer:

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