The circuit shown in (Figure 1), called a Wheatstone bridge is used to determine

Question

The circuit shown in (Figure 1), called a Wheatstone bridge is used to determine the value of an unknown resistor X by comparison with three resistors M, N, and P whose resistances can be varied For each setting the resistance of each resistor is precisely known. With switches S_1 and S_2 dosed, these resistors are varied the current in the G is zero, the bridge is then said to be balanced Under this condition the unknown resistance is given by X MP/N lf the galvanometer G shows zero defection when M = 860/0 Ohm, N 14.00 Ohm, and P = 33.48 Ohm, what is the unknown assistance X? Express your answer with the appropriate units. X = Ohm.

Explanation / Answer

For balanced Wheatstone Bridge:

M/N = X/P

X = MxP/N = 860x3343/1400 = 2053.55 Ans

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