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From your previous lab, you solved the Wheatstone Bridge circuits shown below. N

ID: 2085745 • Letter: F

Question

From your previous lab, you solved the Wheatstone Bridge circuits shown below. Now to get a higher understanding of these resistive circuits, you will build them on the breadboard. Please review the Delta - to- Wye section and the source transformation section from your textbook to complete this lab assignment. we apply the following equations to the top delta Delta of the wheatstone bridge to find the equivalent Wye configuration. R_1 = R_b R_c/R_a + R_b + R_c, R_2 = R_c R_a/R_a + R_b + R_c, R_3 = R_a R_b/R_a + R_b + R_c. Now we can transform our circuit to a Wye. From here we can find the equivalent resistive load, R_L. Source transformations: allow us to exchange a voltage source (v_s) and a series resistor (R) for a current source (i_s) and a parallel resistor (R) and vice versa as shown below.

Explanation / Answer

# This questions says you to understand the delta to star conversion and voltage to current source.

# The delta to star transformation means to convert the configuration of resistors in the form of delta into the configuration of star (as shown in question) having similar current and voltage across them. It helps to simply the more complex resistive circuits.

Suppose you have 3 resistors are given, in the delta form. You can just apply the formula given to each resistor and the answer will the value of your star connection resistor.

E.g - let 1, 2 ,3 be theresistor values in delta connection. (Note that you can assume any resistor Ra,Rb,Rc).

NOW apply formula. - R1= Rb×Rc/(Ra+Rb+Rc) = 2×3/(1+2+3) = 1 .

Similarly R2= 1×3/(1+2+3)= 1/2

R3= 1×2{1+2+3)= 1/3

Hence 1,2,3 were delta connection values and 1, 1/2 ,1/3 are star connection values.

#Source transformation is also a method to transform voltage source to current source or vice versa. It helps in solving the circuits.

To transform the voltage source and series resistor into current source and parallel resistor , the resistor value should be same. Only current value will change and the value of current source should be . V/R. Where V is voltage and R is resistance.

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