R1=4ohm R2=4ohm R3=8 ohm R4=10 ohm R5=4ohm R6=2 ohm R7=2 ohm V=5 calculate A.Requivelent B. IT C.source power D.Current in each resistor E.power in each resistor f. Potential difference In combinational circuits
A. Requivalent = R1 + R2 + (R3 || R4) + (R5 || R6 || R7)
= 4 + 4 + (8*10)/(8+10) + (4*2*2)/(4*2 + 2*2 + 4*2)
= 8 + 4.8 + 1.3
= 13.1 ohms
B. IT = V / Requivalent
= 5 / 13.1
≈ 0.381 A
C. Source power = V * IT
= 5 * 0.381
≈ 1.905 W
D. Current in each resistor:
- For R1 and R2: IT = V / R1 = 5 / 4 = 1.25 A
- For R3 and R4: IT = V / (R3 || R4) = 5 / 4.8 = 1.042 A
- For R5, R6, and R7: IT = V / (R5 || R6 || R7) = 5 / 1.3 = 3.846 A
E. Power in each resistor:
- For R1 and R2: IR1 = IR2 = 1.25, PR1 = PR2 = (1.25)^2 * 4 = 6.25W
- For R3 and R4: IR3 = IR4 = 1.042, PR3 = PR4 = (1.042)^2 * 4.8 = 5.199W
- For R5, R6, and R7: IR5 = IR6 = IR7 = 3.846, PR5 = PR6 = PR7 = (3.846)^2 * 1.3 = 19.398W
F. Potential difference in combination circuits:
- Across R1 and R2: 5 V
- Across R3 and R4: 5 V
- Across R5, R6, and R7: 5 V
Therefore, the calculation is as follows:
A. Requivalent = 13.1 ohms
B. IT ≈ 0.381 A
C. Source power ≈ 1.905 W
D. Current in each resistor: R1 = R2 = 1.25 A, R3 = R4 = 1.042 A, R5 = R6 = R7 = 3.846 A
E. Power in each resistor: R1 = R2 = 6.25 W, R3 = R4 = 5.199 W, R5 = R6 = R7 = 19.398 W
F. Potential difference: R1 = R2 = R3 = R4 = 5 V, R5 = R6 = R7 = 5 V