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MathematicsMathematics
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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  1. 24 January, 08:15
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    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
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