A transformer operating at primary voltage $8\mathrm{kV}$ and secondary voltage $160 \mathrm{V}$ serves a load of $80 \mathrm{kW}$. Assuming the transformer to be ideal with purely resistive load and working on unity power factor, the loads in the primary and secondary circuit would be

For the given circuit the current through battery of $6 \mathrm{V}$ just after closing the switch '$S$' will be _____ $\mathrm{A}$.

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A coil of inductance $1 \mathrm{H}$ and resistance $100 \mathrm{\Omega }$ is connected to a battery of $6 \mathrm{V}$. Determine approximately :

(a) The time elapsed before the current acquires half of its steady-state value
(b) The energy stored in the magnetic field associated with the coil at an instant $15 \mathrm{ms}$ after the circuit is switched on. (Given $\ln 2=0.693$, $e^{\frac{-3}{2}}=0.25$)

In the circuit shown in the figure, the ratio of the quality factor and the band width is _____ $\mathrm{s}$.

A metallic rod of length $L$ is rotated with an angular speed of $\omega$ normal to a uniform magnetic field $B$ about an axis passing through one end of rod as shown in figure. The induced emf will be :

.