Answer:
3.27
Step-by-step explanation:
Electric Power: This can be defined as the rate at which electric energy is consumed. The unit of power is Watt (W).
Mathematically, electric power is represented as
P = VI ..................................... Equation 1.
Where P = power, V = voltage, I = Current.
For Circuit A,
P₁ = V₁I₁ ................................... Equation 2
Where P₁ = maximum power delivered by circuit A, V₁ = Voltage of circuit A, I₁ = circuit breaker rating of circuit A.
Given: V₁ = 218 V, I₁ = 45 A.
Substituting into equation 2
P₁ = 218×45
P₁ = 9810 W.
For Circuit B,
P₂ = V₂I₂............................. Equation 3
Where P₂ = maximum power delivered by the circuit B, V₂ = voltage of circuit B, I₂ = circuit breaker rating of circuit B
Given: V₂ = 120 V, I₂ = 25 A.
Substitute into equation 3
P₂ = 120(25)
P₂ = 3000 W.
Ratio of maximum power delivered by circuit A to that delivered by circuit B = 9810/3000
= 3.27.
Thus the ratio of maximum power delivered by circuit A to circuit B = 3.27