If P₁ and P₂ are the tight and slack side tensions in the belt, then the initial tension P_i (according to Barth) will be equal to (Where, P_c is centrifugal tension)

A. $${\left( {\frac{{\sqrt {{{\text{P}}_1}} + \sqrt {{{\text{P}}_2}} }}{2}} \right)^2}$$

B. $${{\text{P}}_1} + {{\text{P}}_2}$$

C. $$\frac{1}{2}\left( {{{\text{P}}_1} + {{\text{P}}_2}} \right)$$

D. $$\frac{1}{2}\left( {{{\text{P}}_1} + {{\text{P}}_2}} \right) + {{\text{P}}_{\text{c}}}$$

Answer: Option A