Hey could someone explain how to do the following questions please? Part A The c

Question

Hey could someone explain how to do the following questions please?

Part A The current divider circuit in (Figure 1) has to meet the following design criteria: 2g = 57 mA , ug-25 V, 21 0.622,13 222, and 24-421 Determine the required resistance R1 Express your answer to three significant figures and include the appropriate units RValue Units Submit My Answers Give Up Part B Figure 1 of 1 Determine the required resistance R2 Express your answer to three significant figures and include the appropriate units R2= Value Units Submit My Answers Give Up Part C

Explanation / Answer

Parallel branches have same potential difference across them.

V_R1 = V_R2 = V_R3 = V_R4 = Vg = 25 V

and from KCL:

i1 + i2 + i3 + i4 = ig

0.6i2 + i2 + 2i2 + 4i1 = 57 mA

3.6i2 + 4(0.6i2) = 57

i2 = 57 / 6 = 9.5 mA

(A) i1 = 0.6i2 = 5.7 mA

R1 = V_R1 / i1 = 25 / 5.7 mA = 4.39 kohm Or 4390 ohm .......Ans

(B) i2 = 9.5 mA

R2 = 25 / 9.5 = 2.63 k ohm Or 2630 ohm .....Ans

(c) i3 = 2i2 = 19 mA

R3 = 25 / 19 mA

= 1.32 k ohm Or 1320 ohm ........Ans

(d) i4 = 4i1 = 4 x 5.7 = 22.8 mA

R4 = 25 / 22.8 = 1.10 k ohm Or 1100 ohm ......Ans

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