Alternating Current · Physics · BITSAT

A pure resistive circuit element $X$, when connected to an AC supply of peak voltage 200 V , gives a peak current of 5 A . A second circuit element $Y$, when connected to the same AC supply also gives the same value of peak current but the current lags behind by $90^{\circ}$. If the series combination of $X$ and $Y$ is connected to the same supply, what will be the rms value of current?

A resistance $$R$$ and inductance $$L$$ and a capacitor $$C$$ all are connected in series with an $$\mathrm{AC}$$ supply. The resistance of $$R$$ is $$24 \mathrm{~ohm}$$ and for a given frequency, the inductive reactance of $$L$$ is 36 ohm and capacitive reactance of $$C$$ is $$24 \mathrm{~ohm}$$. If the current in the circuit is $$5 \mathrm{~amp}$$. Find the potential difference across $$R, L$$ and $$C$$.

A direct current of $$10 \mathrm{~A}$$ is superimposed on an alternating current $$i=10 \sin \omega t$$ flowing through the wire. The effective value of the resulting current will be.

A direct current of 6 A is superimposed on an alternating current I = 10 sin $$\omega$$t flowing through a wire. The effective value of the resulting current will be

In the circuit shown in the figure, the AC source gives a voltage V = 20 cos (2000t) neglecting source resistance, the voltmeter and ammeter reading will be

The phasor diagram of a load represents which circuit?

Three solenoid coils of same dimensions, same number of turns and same number of layers of windings are taken. Coil 1 has inductance L₁ wounded by Mn wire of resistance 6 $$\Omega$$m^$$-$$1, coil 2 with inductance L₂ wounded by similar wire but in reverse direction in each layer. Coil 3 with inductance L₃ wounded by a superconducting wire. The relation between their self inductances will be

In the circuit shown in figure, the AC source has angular frequency $$\omega$$ = 2000 rad s^$$-$$1. The amplitude of the current will be nearest to