A patient is initially imaged in a 1 Tesla MRI scanner and induced voltage is found to be equal to V₁. The expression for the magnitude of the received voltage in RF coil is given below.
|V| = 2πγ_oV_sM_o(Sinα)β^r
where V_s is MR slice volume, M₀ is magnitude of resultant magnetic vector at equilibrium, γ₀ is Larmor frequency, α is tip angle, β^r is magnetic field sensitivity of receive coil.
When the patient is shifted to a 3 Tesla MRI scanner that uses the same RF coil and the slice thickness is halved, the magnitude of the induced voltage was found to be equal to V₂. The ratio V₂/V₁ is _______.