The discharge through a trapezoidal channel is maximum when
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The discharge through a trapezoidal channel is maximum when the sloping slide is equal to half the width at the top
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When a channel section can pass a maximum discharge for a given cross-sectional area, resistance coefficient, and bottom slope, it is considered to be economical.
Discharge,
Hence, when the hydraulic radius is highest and the perimeter is lowest, the discharge is maximum.
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