The power generated by an electrical circuit (in watts) as a function of its current cc (in amperes) is modeled by: P(c)=-12c^2+120cP(c)=−12c 2 +120c What current will produce the maximum power?
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Answered by
16
Answer:
a current of c = 5A will produce the maximum power.
Step-by-step explanation:
Given the power generated by the circuit
P(c) = -12c² + 120c is a function of c
we know that for maximum value
dP(c)/dc = 0
d(-12c² + 120c)/dc = 0
=> -24c + 120 = 0
=> 24c = 120
=> c = 5
hence a current of c = 5A will produce a maximum power.
Pmax = -12(5)² + 120 x 5 = -300 + 600 = 300 watt
So a current of 5 Ampere will produce a maximum power of 300 Watts.
Answered by
0
Answer:
300 watts
Step-by-step explanation:
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