Final answer:
To find the current supplied to the transformer by the mains, we calculate the power required by the TV and then use this to find the input current (0.5 A) considering the transformer as 100% efficient.
Step-by-step explanation:
The question is about calculating the current provided to a transformer by the mains supply given the output current and voltage required for a TV. Using the principle of conservation of energy, we know that in an ideal transformer (ignoring losses due to heat), the input power is equal to the output power. The power (P) of an electrical device is calculated using the formula P = V × I, where V is the voltage and I is the current.
First, let's calculate the power required by the TV:
Power required by the TV (PTV)
PTV = VTV × ITV = 11.5 V × 10 A = 115 W
Assuming the transformer is 100% efficient and no power is lost, the input power must equal the output power:
Pinput = PTV = 115 W
We have the mains supply voltage (Vmains) and we need to calculate the current (Imains) provided to the transformer:
Input current (Imains)
Imains = Pinput / Vmains = 115 W / 230 V = 0.5 A
Therefore, the mains supply provides a current of 0.5 A to the transformer.