Motion In Combined Electric And Magnetic Fields

The magnetic field at the center of a circular coil is given by:
$B_%7B%5Ctext%7Bcenter%7D%7D%20%3D%20%5Cfrac%7B%5Cmu_0%20I%7D%7B2R%7D$

The magnetic field at a point along the axis of the coil at a distance $x$ is:
$B_x%20%3D%20%5Cfrac%7B%5Cmu_0%20I%20R%5E2%7D%7B2(R%5E2%20%2B%20x%5E2)%5E%7B3%2F2%7D%7D$

Given that the magnetic field at the center is 64 times the magnetic field at distance $x$ , we use the relation:
$B_%7B%5Ctext%7Bcenter%7D%7D%20%3D%2064%20B_x$
By solving the equation, we find: $x%20%3D%20%5Cfrac%7BR%7D%7B%5Csqrt%7B5%7D%7D$

Motion In Combined Electric And Magnetic Fields

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

Motion In Combined Electric And Magnetic Fields

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

Chapter Questions
1 MCQs