Problema Solution

Electrical current. The current I in an electrical

conductor varies inversely as the resistance R of

the conductor. The current is 1/4 ampere when the

resistance is 3840 ohms. What is the current

when the resistance is 6000 ohms?

Answer provided by our tutors

The current I in an electrical conductor varies inversely as the resistance R of the conductor


I = k/R, where k is constant


The current is 1/4 A when the resistance is 3840 ohms that is


1/4 = k/3840


we solve for k


k = 960


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we know that R = 6000 ohms and we need to find I


since I = 960/R we have I = 960/6000 = 0.16 A


when the resistance is 6000 ohms the current is 0.16 ampere.