©2022 Hosting Precise - All Rights Reserved
(a) Consider an arbitrary electrostatic field configuration. A small test charge is placed at a null point (i.e., where E = 0) of the configuration. Show that the equilibrium of the test charge is necessarily unstable.
(b) Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart.
Ans:-
(a) Let the equilibrium of the test charge be stable. If a test charge is in equilibrium and displaced from its position in any direction, then it experiences a restoring force towards a null point, where the electric field is zero.
All the field lines near the null point are directed inwards towards the null point. There is a net inward flux of electric field through a closed surface around the null point.
According to Gauss’s law, the flux of electric field through a surface, which is not enclosing any charge, is zero. Hence, the equilibrium of the test charge can be stable.
(b) Two charges of same magnitude and same sign are placed at a certain distance. The mid-point of the joining line of the charges is the null point. When a test charged is displaced along the line, it experiences a restoring force.
If it is displaced normal to the joining line, then the net force takes it away from the null point. Hence, the charge is unstable because stability of equilibrium requires restoring force in all directions.
">
Posted on 9th Oct 2021 09:42:23 in
Question 1.32)
(a) Consider an arbitrary electrostatic field configuration. A small test charge is placed at a null point (i.e., where E = 0) of the configuration. Show that the equilibrium of the test charge is necessarily unstable.
(b) Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart.
Ans:-
(a) Let the equilibrium of the test charge be stable. If a test charge is in equilibrium and displaced from its position in any direction, then it experiences a restoring force towards a null point, where the electric field is zero.
All the field lines near the null point are directed inwards towards the null point. There is a net inward flux of electric field through a closed surface around the null point.
According to Gauss’s law, the flux of electric field through a surface, which is not enclosing any charge, is zero. Hence, the equilibrium of the test charge can be stable.
(b) Two charges of same magnitude and same sign are placed at a certain distance. The mid-point of the joining line of the charges is the null point. When a test charged is displaced along the line, it experiences a restoring force.
If it is displaced normal to the joining line, then the net force takes it away from the null point. Hence, the charge is unstable because stability of equilibrium requires restoring force in all directions.
©2022 Hosting Precise - All Rights Reserved
Hosting Precise is an innovative supplier of the web domain and hosting services. We provide responsive, fully-featured Domains and Hosting services at an affordable price. Our main objective is to offer best and reliable Hosting packages for all kind of businesses with full customer satisfaction and Domain Registrations with all extensions. Ourcustomer base encompasses all sectors and sizes, from small businesses to industry leaders. Naturally, a client base this diverse has many different requirements. We cater to these needs by offering flexible, scalable solutions - from basic hosting account to complex dedicated server clusters - on a variety of platforms. Join Hosting Precise and its vast community now and start creating trends online. We provide hosting on Linux and Windows servers, suitable for static and dynamic website whichever preferred by clients depending on their web development platforms like PHP, ASP.net, ASP, Java, etc.
Here are some of its key points:
User ratings
User ratings are of utmost importance because claiming to have an uptime over 99% is different from actually having it. So be mindful and go through the reviews before you choose.
We offer a 14 day grace period for invoice payment before the associated service is suspended for nonpayment. This 14 day period starts on the invoice due date, not on the date the invoice is issued.
Yes
You can migrate your website from some other website hosting provider to Hosting Precise.
To select the right Linux shared hosting plan for your business.
No, Our web service uptime is currently 99.99%.