Question

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.)

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