Figure 26.45 shows a circuit containin a potentiometer, also called a variable r

Question

Figure 26.45 shows a circuit containin a potentiometer, also called a variable resistor. The resistance of the potentiometer is proportional to the length connected into the circuit (since resistance is proportional to resistivity times length). The potentiometer is connected to a battery with terminal voltage V. If the total resistance of the potentiometer when the slide wire is at end B is R, and the length AB is L, find the current I in the circuit as a function of the position l of the slidewire from end A.

Explanation / Answer

r(l) = value of resistance as a function of position of sliding wire = Rl/L. let i(l) =current as a function of position of sliding wire. i(l) =V/r(l) i(l) = VL /(Rl)

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