Final answer:
To determine the resistance at a specific distance x on a potentiometer wire, plug in the value of x in the formula r = x0 / (1 - x/4) and solve for r. The solution depends on the provided value of x0.
Step-by-step explanation:
To solve the problem completely and determine the resistance r at a specific distance x on a potentiometer wire, we use the given formula for resistance r = x0 / (1 - x/4). To find the resistance at a certain point, simply substitute the specific value of x into the equation and solve for r.
For example, if the distance x is 2 units, we would plug this value into the formula to get r = x0 / (1 - 2/4), which simplifies to r = x0 / (1/2), or r = 2x0. This result tells us that at 2 units from the left end of the potentiometer wire, the resistance is twice the initial resistance at the starting point of the wire.
The answer will depend on the value of x0, which should be provided along with the specific distance x to complete the calculation. If x0 or x is not defined, you cannot compute the precise value of r.