For an ideal step-down transformer, the quantity which is constant for both the coils is

A coil of inductance $0.50 \mathrm{H}$ and resistance $100 \mathrm{\Omega }$ is connected to a $240 \mathrm{V}, 10 \mathrm{kHz}$ ac supply. What is the maximum current in the coil? Explain the statement that at very high frequency, an inductor in a circuit nearly amounts to an open circuit. How does an inductor behave in a dc circuit after the steady-state?

A small town with a demand of $800 \mathrm{kW}$ of electric power at $220 \mathrm{V}$ is situated $15 \mathrm{km}$ away from an electric plant generating power $440 \mathrm{V}$. The resistance of the two wire line carrying power is $0.5 \mathrm{\Omega }$ per km. The town gets power from the line through a $4000-220 \mathrm{V}$ step down transformer at a substation in the town. (a) Estimate the power loss in the form of heat. (b) How much power must the plant supply, assuming there is negligible power loss due to leakage? (c) Characterise the step -up transformer at the plant.

A small town with a demand of $800 \mathrm{kW}$ of electric power at $220 \mathrm{V}$ is situated $15 \mathrm{km}$ away from an electric plant generating power $440 \mathrm{V}$. The resistance of the two wire line carrying power is $0.5 \mathrm{\Omega }$ per km. The town gets power from the line through a $40000-220 \mathrm{V}$ step down transformer at a substation in the town. (a) Estimate the power loss in the form of heat. (b) How much power must the plant supply, assuming there is negligible power loss due to leakage? (c) Characterize the step -up transformer at the plant.