Electrical systems are governed by Ohm's law, which states that Vequals IR, where Vequals voltage, Iequals current, and Requalsresistance. If the current in an electrical system is decreasing at a rate of 6 A/s while the voltage remains constant at 12 V, at what rate is the resistance increasing when the current is 20 A?

Question

Mathematics

Dork

20 March, 12:00

Electrical systems are governed by Ohm's law, which states that Vequals IR, where Vequals voltage, Iequals current, and Requalsresistance. If the current in an electrical system is decreasing at a rate of 6 A/s while the voltage remains constant at 12 V, at what rate is the resistance increasing when the current is 20 A?

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Patricky · Answer 1

0.09Ω/s

Step-by-step explanation:

V=IR

12 = 20 R

R = 12/20

= 0.6 ohm

dI/dt (R) + dR/dt (I) = 0

-6 x 0.6 + (dR/dt) x 40 = 0

40 (dR/dt) = 3.6

dR/dt = 3.6/40

= 0.09Ω/s