A voltage? across a resistance? generates a current?=?/?. If a constant voltage of 23 volts is put across a resistance that is increasing at a rate of 0.5 ohms per second when the resistance is 4 ohms, at what rate is the current changing? (Give units.)

Question

Mathematics

Jenny Weber

24 January, 06:20

A voltage? across a resistance? generates a current?=?/?. If a constant voltage of 23 volts is put across a resistance that is increasing at a rate of 0.5 ohms per second when the resistance is 4 ohms, at what rate is the current changing? (Give units.)

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Answers (1)

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Hadley Nolan · Answer 1

I = V / R

V = 23 volts

R' = dR/dt = 0.5 ohms/second

R = 4 ohms

Rate of change = V (-1/R^2) (dR/dt)

Rate of change = 12 (-1/16) (-0.05)

Rate of change = 0.375 amps/second