Electrical systems are governed by ohm’s law, which states that v = ir, where v is the voltage, i is the current, and r is the resistance. if the current in an electrical system is decreasing at a rate of 8 amps per second while the voltage remains constant at 24 volts, at what rate is the resistance increasing (in ohms per second) when the current is 56 amps?

Explanation:

Since , we calculate the resistance rate by deriving this formula with respect to time:

Deriving what is left (remember that ):

So we have:

Which for our values is (the rate of I(t) is decreasing so we put a negative sign):

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