Answer:
The current used by the 750-W microwave is 0.75 times the current used by the 1,000-W microwave
Explanation:
The given parameters are;
The electrical power of one of the microwaves, P₁ = 750 W
The electrical power of the other microwave , P₂ = 1,000 W
The applied voltage of the circuit = 120-V
Electric power, P = I·V
Where;
I = The amount of current used
V = The applied voltage = 120 V
Therefore, for the first microwave, we have;
P₁ = I₁ × V
∴ I₁ = P₁/V = 750 W/(120-V) = 25/4 amperes = 6.25 amperes
The amount of current used by the 750-W microwave, I₁ = 6.25 amperes
For the second microwave, we have;
P₂ = I₂ × V
∴ I₂ = P₂/V = 1,000 W/(120-V) = 25/3 amperes = 8.[tex]\overline 3[/tex] amperes
The amount of current used by the 1,000-W microwave, I₂ = 8.[tex]\overline 3[/tex] amperes.
The ratio of the two currents, is I₂/I = (25/3 amperes)/(25/4 amperes) = 4/3
Therefore, I₂ = 4/3 × I₁, from which we have;
I₁ = 3/4·I₂
The current used by the 750-W microwave is 3/4 the current used by the 1,000-W microwave.
