The circular wire in the figure below encircles a solenoid in which the magnetic flux is increasing at a constant rate out of the plane of the page. The clockwise emf around the circular loop is $\varepsilon_{0}$. By definition,a voltmeter measures the voltage difference between two points given by $V_{b}-V_{a}=-\int_{a}^{b} E \cdot ds$. We assume that $a$ and $b$ are infinitesimally close to each other. The values of $V_{b}-V_{a}$ along path $1$ and $V_{a}-V_{b}$ along path $2$,respectively,are

  • A
    $-\varepsilon_{0}, -\varepsilon_{0}$
  • B
    $-\varepsilon_{0}, 0$
  • C
    $-\varepsilon_{0}, \varepsilon_{0}$
  • D
    $\varepsilon_{0}, \varepsilon_{0}$

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