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 `epsilon0`. By definition a voltammeter measures the volatage difference between the two pointws given by `V_(b) - V_a = - int_(a)^(b) barE.d bars`. We assume that a and b are infinitestically close to each other. The values of `V_b - V_a` alon the path 1 and `V_a - V_b` along the path 2, respectively are

Options

A. `- epsi_0 , - epsi_0`
B. `- epsi_0 , 0`
C. `- epsi_0 , epsi_0`
D. `epsi_0 , epsi_0`

Answer

B

Explanation

Flux is increasing while coming out of plane
`therefore ` Induced electric field will be in clockwise
direction.
` therefore int_(a)^(b) vecE . "" vec(ds) ` will be `+ ve epsi_0`
for path - 1
` V_b -V_a =- epsi_0`
In path-2 if we see a & b very close and Net emf in path = 0