A Wheatstone bridge is constructed using a 1.00-m-long Nichrome wire (the purple

Question

A Wheatstone bridge is constructed using a 1.00-m-long Nichrome wire (the purple line in the figure) with a conducting contact that can slide along the wire. A resistor, R1 = 121 Ohm, is placed on one side of the bridge, and another resistor, R, of unknown resistance, is placed on the other side. The contact is moved along the Nichrome wire, and it is found that the ammeter reading is zero for L = 22.1 cm. Knowing that the wire has a uniform cross section throughout its length, determine the unknown resistance.

Explanation / Answer

By wheat stone bridge in the circuit, R1/L = R/(100-L) R = R1* {(100-L)/L} = 121*77.9/22.1 = 426.5

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