Question

Find the total power developed in the circuit. Express your answer using three significant figures and include the appropriate units.

Answer 1

The total power developed in the circuit is calculated either by multiplying the total current by total voltage, yielding 18.00 W, or adding up the power dissipated by individual resistors, totaling 7.20 W. These values must match according to conservation of energy.

Step-by-step explanation:

The total power developed in the circuit can be calculated using the formula for power, P = IV, where I is the total current and V is the total voltage. Given the current of 6.00 A and voltage of 3.00 V, we can calculate the total power as 18.00 W (watts). Another method is to add the power dissipated by each resistor, given as P1 + P2 + P3 (0.360 W + 2.16 W + 4.68 W), totaling 7.20 W. However, according to the conservation of energy, the power output of the source should match the total power dissipated by resistors, so it's important to verify the calculations to ensure accuracy and match to the source's power.

Answer 2

37 W

Step-by-step explanation:

Power is the time rate of dissipation or absorbing energy. The power supplied or absorbed by an element is the product of the current flowing through the element and the voltage across the element. Power is measured in watts. If the power is positive then it is absorbed by the element and if it is negative then it is supplied by the element.

Power = voltage * current

For element A: Power = 36 V * -4 A = -144 W

For element B: Power = -20 V * -4 A = 80 W

For element C: Power = -24 V * 4 A = -94 W

For element D: Power = -80 V * -1.5 A = 120 W

For element E: Power = 30 V * 2.5 A = 75 W

The total power developed in the circuit = sum of power through the element = (-144 W) + 80 W + (-94 W) + 120 W + 75 W = 37 W