Mathematics

Mathematics

Problem

Electrical power in a circuit satisfies P=IVP=IV. If the power is held constant at 120 W120\text{ W} while the current is 6 A6\text{ A} and decreasing at 0.40 A/s0.40\text{ A/s}, what is dVdt\dfrac{dV}{dt}, the rate of change of the voltage? a) −43 V/s-\dfrac{4}{3}\text{ V/s} (voltage decreasing) b) 8 V/s8\text{ V/s} (voltage increasing) c) 43 V/s\dfrac{4}{3}\text{ V/s} (voltage increasing) d) 83 V/s\dfrac{8}{3}\text{ V/s} (voltage increasing)

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