In the figure, Let R1 = 95 , R2 = R3 = 50 , R4 = 70 , and = 18 V; assume the bat

Question

In the figure, Let R1 = 95 , R2 = R3 = 50 , R4 = 70 , and = 18 V; assume the battery is ideal. What is the equivalent resistance of the network shown?

MMA FIGURE 28-43 Problem 47. (c28p47 5e) In the figure, Let R1 95 2, R2 R3 50 2, R4 70 2, and E 18 V; assume the battery is idea What is the equivalent resistance of the network shown? 1.13x102 ohms You are correct. Previous Tries Your receipt no s 160-9460 2 What is the current in resistor R1? Submit Answer Tries 0/10 What is the current in resistor R2? Submit Answer Tries 0/10 What is the current in resistor R3? Submit Answer Tries 0/10 What is the current in resistor R4? Submit Answer Tries 0/10

Explanation / Answer

Req = equivalent resistance = 113 ohm

since R1 is in series with battery , hence

i1 = ibattery = current coming from battery = E/Req = 18/113 = 0.16 A

V1 = voltage across R1 = i1 R1 = 0.16 x 95 = 15.2 volts

R2 , R3 and R4 are in parallel and hence have same potential difference across them which is given as

V2 = V3 = V4 = E - V1 = 18 - 15.2 = 2.8 volts

i2 = current in R2 = V2/R2 = 2.8/50 = 0.056 A

i3 = current in R3 = V3/R3 = 2.8/50 = 0.056 A

i4 = current in R4 = V4/R4 = 2.8/70 = 0.04 A

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