Question

the power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: p(c)=-20(c-3)^2 +180 which currents will produce no power ?
lower current: ___________ amperes
high current: ___________ amperes

Answer 1

Answer:

Lower current: 0 amperes

High current: 6 amperes

Step-by-step explanation:

Given that it produces no power or 0 power means P(c)=0

So we have,

⇒ -20(c-3)^2+180=0

⇒ 20(c-3)^2=180 (Cancelling minus on both sides)

⇒ (c-3)^2=180/20

⇒ (c-3)^2=9

⇒ (c-3)=±√9

⇒ (c-3)=±3

Case 1: (c-3)=-3

⇒ c=-3+3

⇒ c=0

Case 2: (c-3)=+3

⇒ c=3+3

⇒ c=6

So, the answer is Lower current: 0 amperes and Higher current: 6 amperes.

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