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 $S_2$ closed, these resistors are varied until the current in the galvanometer $G$ is zero; the bridge is then said to be balanced. Under this condition the unknown resistance is given by $X = MP/N$.
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Part A
If the galvanometer G shows zero deflection when $M = 840.0 \Omega$, $N = 16.00 \Omega$, and $P = 33.58 \Omega$, what is the unknown resistance $X$?
Express your answer with the appropriate units.
$x = Value Omega$
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