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KVPY2020PhysicsElectrostatics

The circular wire in figure below encircles 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 ε 0 . By definition a voltammeter measures the voltage difference between the two points given by V b - V a = - ∫ a b E ¯ · d s ¯ . We assume that a and b are infinitesimally close to each other. The value

Options

  1. A- ε 0 ,   - ε 0
  2. B- ε 0 ,   0
  3. C- ε 0 ,   ε 0
  4. Dε 0 ,   ε 0

Correct answer

B. - ε 0 ,   0

Step-by-step solution

Flux is increasing while coming out of plane ∴ Induced electric field will be in clockwise direction. ∫ a b E → · d s → will be  +ve  ε 0 . for path- 1 V b - V a = - ε 0 In path- 2 if we see a and b very close and Net emf in path = 0

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