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Three 2\ Ω resistors, A, B and C, are connected as shown in figure. Each of them dissipates energy and can withstand a maximum power of 18\ W without melting. Find the maximum current that can flow through the three resistors?
 
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Circuit diagram
 
The formula to calculate current from power formula is
 
I2=ii=iI=iA
 
The sum of the individual currents in each parallel branch in a parallel circuit the main current flowing into or out of the parallel branches. The potential difference across separate parallel branches are the .
 
The current flowing through B and C is given as
 
ii×Currentflowingthroughi=ii×i=iA