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(C) Power transmission over long distances is done at very high voltage to minimize Ohmic losses.Power stations are typically located far from consump

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To reduce the power loss due to heating ($I^2R$ loss)

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(C) Power transmission over long distances is done at very high voltage to minimize Ohmic losses.Power stations are typically located far from consumption centers. Power is transmitted through long cables,which have significant resistance $(R_c)$.The power transmitted is given by $P = VI$,where $V$ is the voltage and $I$ is the current.The power dissipated as heat in the transmission lines is given by $P_c = I^2 R_c$.Since $I = P/V$,we can substitute this into the power loss equation:$P_c = (P/V)^2 R_c = P^2 R_c / V^2$.From this expression,it is clear that $P_c \propto 1/V^2$. Therefore,by increasing the transmission voltage $(V)$,the power loss $(P_c)$ is significantly reduced for a given amount of power transmitted.

Why is electric power transmitted at very high voltage over long distances to reduce Ohmic loss?

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