Mock Test 1 — Electromagnetic Induction and Alternating Current

A coil of $50$ turns has flux changing from $0.04$ Wb to $0.01$ Wb in $0.5$ s. Induced EMF:

A pure inductor of $L = 50$ mH has $V_{\text{rms}} = 50$ V at $50$ Hz. RMS current:

RMS voltage of AC source $V = 100\sqrt{2}\sin\omega t$ V:

A transformer is used to:

The Q-factor of series LCR is:

The phase difference between $V$ and $I$ in pure resistor:

A series circuit has $R = 100$ Ω, $X_L = 100$ Ω, $X_C = 200$ Ω. Impedance:

The energy stored per unit volume in magnetic field is:

In a step-down transformer of turns ratio $1:10$, $V_p = 220$ V. $V_s$:

AC of frequency $50$ Hz passes through pure capacitor of $1\,\mu$F. Reactance:

In LCR series circuit at resonance, the power factor is:

A coil of inductance $0.5$ H carries current changing at $4$ A/s. EMF (in V):

Number of turns in primary $= 100$, secondary $= 1000$, $V_p = 200$ V. $V_s$ (in V):

Assertion (A): A capacitor blocks DC but allows AC to pass. Reason (R): Reactance of capacitor is infinite for $\omega = 0$ and finite for $\omega > 0$.

Assertion (A): Power consumed by pure inductor is zero in AC circuit. Reason (R): Current and voltage are $90°$ out of phase in pure inductor.