Answer:
1. Current 1 (I1) is 2 A.
2. Current 2 (I2) is 4 A.
3. Current 3 (I3) is 1.3 A.
4. Power 1 (P1) is 48 W.
5. Power 2 (P2) is 96W.
6. Power 3 (P3) is 31.2 W.
7. Total current is 7.3 A.
8. Total power is 175.2 W.
Explanation:
Data obtained from the question include the following:
Voltage (V) = 24 V
Resistance 1 (R1) = 12 Ω
Resistance 2 (R2) = 6 Ω
Resistance 3 (R3) = 18 Ω
1. Determination of the current 1 (I1)
Voltage (V) = 24 V
Resistance 1 (R1) = 12 Ω
Current 1 (I1) =..?
V = I1R1
24 = I1 x 12
Divide both side by 12
I1 = 24/12
I1 = 2 A
Therefore, the current 1 (I1) is 2 A
2. Determination of the current 2 (I2)
Voltage (V) = 24 V
Resistance 2 (R2) = 6 Ω
Current 2 (I2) =..?
V = I2R2
24 = I2 x 6
Divide both side by 6
I2 = 24/6
I2 = 4 A
Therefore, the current 2 (I2) is 4 A
3. Determination of the current 3 (I3)
Voltage (V) = 24 V
Resistance 3 (R3) = 18 Ω
Current 3 (I3) =..?
V = I3R3
24 = I3 x 18
Divide both side by 18
I3 = 24/18
I3 = 1.33 A
Therefore, the current 3 (I3) is 1.3 A.
4. Determination of power 1 (P1)
Voltage (V) = 24 V
Current 1 (I1) = 2 A
Power 1 (P1) =..?
P1 = I1V
P1 = 2 x 24
P1 = 48 W
Therefore, power 1 (P1) is 48 W.
5. Determination of power 2 (P2)
Voltage (V) = 24 V
Current 2 (I2) = 4 A
Power 2 (P2) =..?
P2 = I2V
P2 = 4 x 24
P2 = 96 W
Therefore, power 2 (P2) is 96W.
6. Determination of power 3 (P3)
Voltage (V) = 24 V
Current 3 (I3) = 1.3 A
Power 3 (P3) =..?
P3 = I3V
P3 = 1.3 x 24
P1 = 31.2 W
Therefore, power 3 (P3) is 31.2 W.
7. Determination of the total current
Current 1 (I1) = 2 A.
Current 2 (I2) = 4 A.
Current 3 (I3) = 1.3 A
Total current =.?
Total current = I1 + I2 + I3
Total current = 2 + 4 + 1.3
Total current = 7.3 A
Therefore, the total current is 7.3 A.
8. Determination of the total power.
Power 1 (P1) = 48 W.
Power 2 (P2) = 96W.
Power 3 (P3) = 31.2 W.
Total power =..?
Total power = P1 + P2 + P3
Total power = 48 + 96 + 31.2
Total power = 175.2 W
Therefore, the total power is 175.2 W.
