FIGURE P23.26 21. I For the circuit shown in Figure P23.27, find the current thr

Question

FIGURE P23.26 21. I For the circuit shown in Figure P23.27, find the current through and the potential difference across each resistor Place your results in a table for ease of reading. 6.00 6.0 n 15 24 V T 4.0 (2 FIGURE P23.27 32. I A 6.0 AuF capacitor. are connected in paralle 33 A 6.0 F capacitor, are connected in series. 34 I You need a capacita have a 50 F capacito additional capacitor do of 50 AuF? Should you series? 35. You need a capacita have a 50 AuF capacito additional capacitor do of 50 AuF? Should you Series

Explanation / Answer

R1 = 6 ohm (top)

R2 = 4 ohms

R3 = 15 ohms

R4 = 6 ohm (left)

R1 , R2 are in series

R12 = 6 + 4 = 10 ohms

R12 is in parallel with R3

1/R123 = 1/R12 + 1/R3

1/R123 = 1/10 + 1/15

R123 = 6 ohm

R123 is in series with R4

Rtot = R123 + R4

Rtot = 6 + 6 = 12 ohms

Itot = V/Rtot = 24/12 = 2 A

current through R4 = I4 = Itot = 2 A

potential difference across R4 = V4 = I4*R4 = 12 V

current through R3 = V3/R3 = (V-V4)/R3 = (24-12)/15 = 12/15 = 0.8 A

potential difference across R3, V3 = V - V4 = 12 V

current through R2, I2 = V2/R12 = V3/R12 = 12/10 = 1.2 A

potential difference across R2, V2 = I2*R2 = 1.2*4 = 4.8 V

current through R1 = I1 = I2 = 1.2 A

potential difference across R1, V1 = I1*R1 = 7.2V

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