Q134 / 200 · NEET 2007 · Physics

What is the value of inductance $L$ for which the current is maximum in a series LCR circuit with $C=10 \mu \mathrm{F}$ and $\omega=1000$ $\mathrm{s}^{-1}$ ?

A
$1 \mathrm{mH}$
B
cannot be calculated unless $R$ is known
C
$10 \mathrm{mH}$
Correct answer
D
$100 \mathrm{mH}$.

Solution

According to question current is maximum at resonance $\begin{aligned} \Rightarrow \quad \omega^2 & =\frac{1}{L C} \\ \Rightarrow \quad L & =\frac{1}{\omega^2 C} \\ & =\frac{1}{(1000)^2\left(10 \times 10^{-6}\right)} \\ & =0.1 \mathrm{H}=100 \mathrm{mH} \end{aligned}$

Hence, the correct answer is option: 'D'.

Relevant Questions

An ac circuit contains a resistance of k , a capacitor of and an inductor of mH connected in series. The resonance frequency of the circuit 2026 (Cancelled)AC Circuits
An ac voltage Volt is applied to a series LCR circuit. Then the current amplitude in this circuit is : (Given : mH, F, )2026 (Re-NEET)AC Circuits
To an ac power supply of 220 V at 50 Hz , a resistor of , a capacitor of reactance and an inductor of reactance are connected is series. The2025AC Circuits
In the circuit shown below, the inductance is connected to an ac source. The current flowing in the circuit is . The voltage drop across is2024 (Re-NEET)AC Circuits
The amplitude of the charge oscillating in a circuit decreases exponentially as , where is the charge at . The time at which charge amplitud2024 (Re-NEET)AC Circuits
In a series L C R circuit, the inductance L is 10 mH , capacitance C is 1 F and resistance R is 100 . The frequency at which resonance occur2023 (All India)AC Circuits