Electrical power in a circuit satisfies

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

P=IV

. If the power is held constant at

120\text{ W}

while the current is

6\text{ A}

and decreasing at

0.40\text{ A/s}

, what is

\dfrac{dV}{dt}

, the rate of change of the voltage? (a)

-\dfrac{4}{3}\text{ V/s}

(voltage decreasing) (b)

8\text{ V/s}

(voltage increasing) (c)

\dfrac{4}{3}\text{ V/s}

(voltage increasing) (d)

\dfrac{8}{3}\text{ V/s}

(voltage increasing)