Answer:
10.03watts
Explanation:
Formula for calculating power is the product of the current and the voltage in a circuit i.e Power = Current (I) × Voltage (V)
Since the secondary coil of a step-up transformer provides the voltage that operates an electrostatic air filler, therefore the power consumed by the air filter will be the power in the secondary coil of the transformer.
We will use the transformer formula below to calculate the current and voltage in the secondary coil.
Ns/Np = Vs/Vp = Ip/Is where;
Ns/Np is the turn ratio of the transformer = 44/1
Vs is the voltage in the secondary coil
Vp is the voltage in the primary coil = 120V
Is is the current in the secondary coil = 1.9×10^-3A
Ip is the current in the primary coil
Power consumed by the secondary coil= IsVs
To get Vs using the relationship
Ns/Np = Vs/Vp
44/1 = Vs/120
Cross multiplying;
Vs = 120×44
Vs = 5280volts
Since Is = 1.9×10^-3A
Power consumed by the secondary coil= 1.9×10^-3A × 5280
= 10.03Watts
Since the power consumed by the secondary coil is 10.03watts, therefore the power consumed by the air filter is 10.03watts.
