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Homework answers / question archive / The potential difference between points a and b in the diagram is 20 V
The potential difference between points a and b in the diagram is 20 V. Find the current through and voltage across each resistor in the network, using the full procedure as illustrated in class.
The voltage across 40 ohm resistance = 20 V
The current through 40 ohm = V/R = 20/40 = 0.5 A
The 30 ohm and 45 ohm resistance are in parallel and this combine is in series with the 42 ohm resistance.
The net resistance = 42+30*45/(30+45) = 60 ohm.
The current through 42 ohm = 20/60 = 0.33 A.
The voltage across 42 ohm = 42/3 = 14 V
The voltage across 30ohm || 45 ohm = 20-14 = 6 V
The current through 30 ohm = 6/30 = 0.2 A
The current through 45 ohm = 6/45 = 2/15 = 0.133 A.
