Impedance Calculation:
- Impedance Z = 3 + j4
- Voltage V = 100 + j50

Power Calculation:
- The power in the circuit can be calculated using the formula P = V^2 / Z
- Substitute the values: P = (100 + j50)^2 / (3 + j4)
- P = (100^2 + 2*100*j50 + (j50)^2) / (3 + j4)
- P = (10000 + 10000j + 2500) / (3 + j4)
- P = (12500 + 10000j) / (3 + j4)
- To simplify further, multiply the numerator and denominator by the conjugate of the denominator: (3 - j4)
- P = [(12500 + 10000j)(3 - j4)] / [(3 + j4)(3 - j4)]
- P = (37500 - 12500j - 40000j - 10000) / (9 + 16)
- P = (27500 - 52500j) / 25
- P = 1100 - 2100j

Explanation:
- The impedance of the circuit (3 + j4) affects the flow of current in the circuit.
- The power in the circuit is calculated using the voltage and impedance values.
- The power calculated in this case is 1100 - 2100j. The real part represents the active power, and the imaginary part represents the reactive power in the circuit.
- This power calculation is essential for determining the efficiency and performance of the circuit.