Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 30: Q. 30 (page 871)

A 2.0 mH inductor is connected in parallel with a variable capacitor. The capacitor can be varied from 100 pF to 200 pF. What is the range of oscillation frequencies for this circuit?

Short Answer

Expert verified

The range of oscillation frequencies is 3.53 Hz - 5.03 Hz.

Step by step solution

01

Given information 

We have given that, a 2.0 mH inductor is connected in parallel with a variable capacitor. The capacitor can be varied from 100 pF to 200 pF.

02

.

The formula to calculate the oscillation frequency is :f=12πLC

Here, f= Oscillation frequency

L= Inductance

C= Capacitance

As the capacitance vary between two values, we will calculate oscillation frequency for both values separately.


03

Step 2. 

Calculating value for C=100×10-15

localid="1651033231481" f1=12π(2×10-3H)(100×10-12F)

f1=3.55MHz

Now we will calculate for C=200×10-15

localid="1651033320655" f2=12π(2×10-3H)(200×10-12F)

f2=5.03MHz

So the range of oscillation frequency is 3.53 MHz - 5.03 MHz.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A 3.0-cm-diameter, 10-turn coil of wire, located at z=0in thexy-plane, carries a current of 2.5A.A2.0-mm-diameter conducting loop with 2.0*10-4Ωresistance is also in the xyplane at the center of the coil. At t=0s, the loop begins to move along the z-axis with a constant speed of 75m/s. What is the induced current in the conducting loop att=200ms?The diameter of the conducting loop is much smaller than that of the coil, so you can assume that the magnetic field through the loop is everywhere the on-axis field of the coil.

One possible concern with MRI (see Exercise 28) is turning the magnetic field on or off too quickly. Bodily fluids are conductors, and a changing magnetic field could cause electric currents to flow through the patient. Suppose a typical patient has a maximum cross section area of 0.060m2. What is the smallest time interval in which a 5.0Tmagnetic field can be turned on or off if the induced emfaround the patient's body must be kept to less than 0.10V??

A 100 mH inductor whose windings have a resistance of 4.0 Ω is connected across a 12 V battery having an internal resistance of 2.0 Ω. How much energy is stored in the inductor?

FIGURE EX30.14 shows a 10-cm-diameter loop in three different magnetic fields. The loop's resistance is For each, what are the size and direction of the induced current

A 100-turn, the 2.0-cm-diameter coil is at rest with its axis vertical. A uniform magnetic field 60°away from vertical increases from 0.50Tto 1.50Tin 0.60s. What is the induced emf in the coil?
See all solutions

Recommended explanations on Physics Textbooks

Kinematics Physics

Read Explanation

Electromagnetism

Read Explanation

Medical Physics

Read Explanation

Magnetism

Read Explanation

Space Physics

Read Explanation

Scientific Method Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free