As we saw in class, this circuit is a Wheatstone Bridge. It is used for numerous

Question

As we saw in class, this circuit is a Wheatstone Bridge. It is used for numerous scientific and engineering applications. It is a great example for learning how to think about redrawing or modelling circuits as parallel and perpendicular elements. This is an important step when considering how to apply Thevenin's Theorem. To get R_TH we start by shorting out the power supplied and finding the equivalent resistance. A Wheatstone Bridge can be modeled as two sets of two parallel resistors (R_1 and R_3 in parallel and R_2 and R_4 in parallel) in seriess. Use diagrams to show that this combination is the same as the Wheatstone Bridge shown below. Your bridge has three known resistors: R_1 = 20 k Ohm, R_2 = 10 k Ohm, and R_4 = 10 k Ohm. If R_3 is a potentiometer (where the resistance can be changed), what would the resistance of R_3 need to be set at to balance the circuit?

Explanation / Answer

in Wheat stone bridge

when the bridge is balanced the condition is R1/R3 = R2/R4

given R1=20 k ohms,R2 = R4=10 k ohms, R3 is unknown

R3 =R1*R4/R2

= 20k ohm*10k ohm/10k ohm = 20 k ohm

so the resistance of the potentiometer is 20 k ohms

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