Ohm's law relates the current, voltage, and resistance in a circuit. Use Ohm's law to determine what will happen to the remaining variable if one is held constant and another is changed. Assume that, originally, the resistance is R0, the current is 0, and the voltage is V0. If the original voltage is held constant but the current is doubled, how does the new resistance compare to the original resistance?

   R = ½ R₀

Explanation:

This is an exercise in Ohm's law,

           V = IR

in the initial case

           V₀ = I₀ R₀               (1)

indicates that the voltage remains constant and the current is doubled

             I = 2 I₀

           V₀ = I R

we substitute

           V₀ = 2 I₀ R

            R = ½ V₀ / I₀

we replace by equation 1

            R = ½ R₀

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