Question

An inductor coil, a capacitor and an A.C source of rms voltage 24 V are connected in series. When the frequency of the source is varied, a maximum rms current of 6 A is observed. If this inductor coil is connected to a battery of emf 12V and internal resistance of $4\Omega$, what is the steady current.(Write upto two digits after the decimal point.)

Answer 1

Maximum current occurs during resonance. During resonance, the reactance of Capacitor and Inductor cancels out each other.
Therefore, the current is equal to $\frac{V}{R}=6$ and $V=24$. So, $R=4\Omega$.
When this inductor is connected to a battery, the steady state current is $\frac{V}{R_{net}}=\frac{12}{4+4}$
=$1.5$ A