A triangular wire frame (each side =2m) is placed in a region of time variant magnetic field `dB//dt = (sqrt3) T//s`. The magnetic field is perpendicular to the plane of the triangle and its centre coincides with the centre of triangle. The base of the triangle AB has a resistance `1(Omega)` while the other two sides have resistance `2(Omega)` each. The magnitude of potential difference between the points A and B will be

Options

A. `0.4 V`
B. `0.6 V`
C. `1.2 V`
D. None

Answer

B

Explanation

`P.D` in the loop `= int vec(E).d vec(l) = (d phi)/(dt) = A(dB)/(dt)`
`i = (Delta V)/(R_(T))" " R_(T) = 5 Omega , V_(AB) = iR_(AB)`