Given the circuit below. R1 is 75 ohms, R2 is 190 ohms, R3 is 235 ohms, R4 is 10

Question

Given the circuit below. R1 is 75 ohms, R2 is 190 ohms, R3 is 235 ohms, R4 is 109 ohms, R5 is 202 ohms. The potential difference between points a and b is 30 V.

A)What is the equivalent resistance of this circuit? Answer = 291 ohms

B)What is the potential difference across each resistor?Put in the value for R1 followed by a comma, the value for R2 followed by a comma, the value for R3 followed by a comma, ... and the value for R5.

C)What is the current through each resistor?Put in the value for R1 followed by a comma, the value for R2 followed by a comma, the value for R3 followed by a comma, ... and the value for R5.

Explanation / Answer

R1 R2 R3 in series then in parallel with R4 and then their equivalent in series with R5 this gives Req = 291.49 Ohms B) Current in the circuit = .103 A Potential drop across R5 = 202*.103 = 20.789 V Equivalent Resistance of the loop part = 89.49 Ohms So potential drop across the loop = 9.217 V Potential drop across R4 = 9.217 V Current in the branch containing R1 R2 and R3 = 9.217/500 = .0184 A so Potential drop across R1 = 1.38 V Potential drop across R2 = 3.496 V Potential drop across R3 = 4.324 V C) Current through each resistor R5 = .103 A R1,R2,R3 = .0184 A R4 = .103-.0184 = .0846 A

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