A power plan suplies a small town with 120 KWpower, through transmission lines,

Question

A power plan suplies a small town with 120 KWpower, through transmission lines, with a total of 0.4resistance. The power plan would like to minimize thepower loss through these lines. Calculate to find powerlosses if they were to use a.240 V source and b. when a 24000Vsource is used; which is more suitable to reduce power lossand by how much? I am lost, plese help me! A power plan suplies a small town with 120 KWpower, through transmission lines, with a total of 0.4resistance. The power plan would like to minimize thepower loss through these lines. Calculate to find powerlosses if they were to use a.240 V source and b. when a 24000Vsource is used; which is more suitable to reduce power lossand by how much? I am lost, plese help me!

Explanation / Answer

(a)           We know that :                         Power P   = V I         For  240 Volts :                       P   = 240 * I          or         I    =   P / 240                             = 120 * 103 W / 240                            =   500 Power loss is :                P   = I2 R                     = (500)2 * 0.4                     = 100,000   W (b)          For V   = 24000 V           P  = 24000 * I          or         I    =   P / 24000                             = 120 * 103 W / 24000                            =   5 Power loss is :                P   = I2 R                     = (5)2 * 0.4                      =  10 W Hence power loss is less with 24000 V Hope this helps u!          or         I    =   P / 24000                             = 120 * 103 W / 24000                            =   5 Power loss is :                P   = I2 R                     = (5)2 * 0.4                      =  10 W Hence power loss is less with 24000 V Hope this helps u!

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