Ri R2 R4 R3 R1= 10 ohms, R2-2 ohms, R3= 14, R4-4 ohms. 1) (10 pts) Calculate the

Question

Ri R2 R4 R3 R1= 10 ohms, R2-2 ohms, R3= 14, R4-4 ohms. 1) (10 pts) Calculate the equivalent resistance that would replace the above resistor network connected to points (a) and (b). 2) (10 pts) Calculate the equivalent resistance that would replace the above resistor network connected to points (c) and (D). 3) (15 pts) Assume an 18 Volt battery connects to the resistor network above such that the negative terminal connects to (a) and the positive terminal connects to (c). If point (D) is grounded (0 volts) then calculate the voltages at points (a), (b), and (c)

Explanation / Answer

1.

Equivalent resistance between a and b

Resistance R2 , R3 and R4 are in series and their series combination is given as

R234 = R2 + R3 + R4

R234 = 2 + 14 + 4 = 20 ohm

R234 and R1 are in parallel and their parallel combination is given as

R1234 = R1 R234 / (R1 + R234)

R1234 = 10 x 20 / (10 + 20)

R1234 = 6.67 ohm

2)

Equivalent resistance between c and d

Resistance R1 , R2 and R3 are in series and their series combination is given as

R123 = R1 + R2 + R3

R123 = 10 + 2 + 14 = 26 ohm

R123 and R4 are in parallel and their parallel combination is given as

R1234 = R4 R123 / (R4 + R123)

R1234 = 4 x 26 / (4 + 26)

R1234 = 3.5 ohm

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