Answer

Verified

426.6k+ views

**Hint:**Here the bandwidth is the ratio of the given resistance and the inductance in the circuit. Hence by rearranging the equation we get the equation of R. Then by substituting the values of the bandwidth and the inductance we will the resistance. The quality factor is the ratio of resonant frequency to the band width. The product of the quality factor and source voltage is equal to the voltage across capacitance which is also equal to the voltage across inductance.

**Complete answer:**

Given that V=100V

L=0.1H

Band width =300rad/sec

In series RLC circuit,

$Bandwidth=\dfrac{R}{L}=300$

$\Rightarrow $ $R=Bandwidth\times L$

$\Rightarrow R=300\times 0.1$

$\therefore R=30\Omega $

$Q=\dfrac{\operatorname{Re}sonantFrequency}{bandwidth}$

where, Q is the quality factor.

$\begin{align}

& \Rightarrow Q=\dfrac{3000}{300} \\

& \therefore Q=10 \\

\end{align}$

At resonance,

$\left| {{V}_{L}} \right|=\left| {{V}_{C}} \right|=Q{{V}_{S}}$

$\begin{align}

& \Rightarrow Q{{V}_{S}}=10\times 100 \\

& \therefore \left| {{V}_{L}} \right|=\left| {{V}_{C}} \right|=1000V \\

\end{align}$

**Hence option (3) is correct.**

**Additional information:**

Inductive reactance is the name given to a changing current flow. The impedance is usually measured in ohms, just like resistance. That is, the inductive reactance has the same unit of resistance. Capacitive reactance decreases with the increasing value of AC frequency, while inductive reactance increases with increasing AC frequency. When current passes through a coil, then it will become electromagnetic. The current that flows through the coil will have an opposition like resistance upon its inductance and frequency waveform. Where inductive reactance is the product of inductance and angular frequency. Similarly, capacitive reactance is the product of capacitance and angular frequency. By substituting these values and substituting we get the value of capacitance.

**Note:**

The quality factor is the ratio of resonant frequency to the band width. The product of the quality factor and source voltage is equal to the voltage across capacitance which is also equal to the voltage across inductance. Also the bandwidth is the ratio of the given resistance and the inductance in the circuit.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Which are the Top 10 Largest Countries of the World?

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Write a letter to the principal requesting him to grant class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE