### Electromagnetism Part 2: More examples, solved problems and Quizzes related to Electromagnetism,Magnetic dipoles, Induction, Induced EMF

In this tutorial, we have a few more interesting problems related to Electromagnetism.

## Electromagnetism Part 2:  Electromagnetism,Magnetic dipoles, Induction, Induced EMF - More examples and solved problems.

### Target Audience: High School Students, College Freshmen and Sophomores, students preparing for the International Baccalaureate (IB), AP Physics B, AP Physics C, A Level, Singapore/GCE A-Level; Class 11/12 students in India preparing for ISC/CBSE and Entrance Examinations like the IIT-JEE/AIEEE Anyone else who needs this Tutorial as a reference!

After going through the tutorial, try out the Quizzes at the end of this page.

#### Here's a quick look at some of the problems covered in this tutorial :

Most of these are standard questions which have appeared quite often in examinations and tests. Some of these are from the Indian National Physics Olympiad tests.

Q:

Q: An electron revolving around a proton in a circular orbit in a circular orbit of diameter 1A0 . If it produces a magnetic ﬁled of 14W b/m2 , ﬁnd the angular velocity of the electron.

Q: A very small circular loop of area 5 × 10−4 m2 , resistance 2 ohm and negligible self inductance was initially coplanar and concentric with a much larger ﬁxed circular loop of radius 0.1m. A constant current of 1.0A is passed through the bigger loop. The smaller loop is rotated with constant angular velocity of ωrad/s about it’s diameter. Calculate the (a) induced e.m.f and (b) induced current through the smaller loop as a function of time.

Q: A sliding conducting bar of mass m and resistance R is released from rest. It starts sliding due to the current drawn from battery of emf ξ, in a steady inward magnetic ﬁeld. Find the variation of it’s speed with time. Also ﬁnd the terminal speed of the bar.

Q: A square loop of side 1m is placed in a perpendicular magnetic ﬁeld. Half of the area of the loop lies inside the magnetic ﬁeld. A battery of e.m.f 10V and negligible internal resistance is connected in a loop. The magnetic ﬁeld changes with time according to the relation B = (0.01 − 2t) Tesla. Find the resultant e.m.f of the circuit.

Q: What is the self-inductance if a system of co-axial cables carrying current in opposite directions as shown? The radii are a andb respectively and length is l.

Q: A conducting rod AB of length l is rotating anti-clockwise about one of it’s edges A with angular velocity ω. There is a constant magnetic ﬁeld of magnitude B into the plane of rotation. Find the e.m.f induced across the ends of the rod.

Q: A coil having N turns is wound in the form of a spiral of inner radius a and outer radius b. When a current I passes through the coil, the magnetic induction at the center is ..

Q: Obtain the expression for the magnetic moment associated with a solenoid of length L and number of turns per unit length N carrying current I. The inner and outer radii are r1 and r2 resp.

## Complete Tutorial with problems and solutions (After going through the tutorial, try out our MCQ Quizzes at the end of this page):

### Electromagnetism MCQ Quiz #1

Test how much you know about the topic. Your score will be e-mailed to you at the address you provide.

### Electromagnetism MCQ Quiz #2

Test how much you know about the topic. Your score will be e-mailed to you at the address you provide.