Question

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?

Answer 1

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.

Answer 2

Answer:

300 watts

Step-by-step explanation: