The surface charge density on an infinite charged plane is . A proton is shot straight away from the plane at . How far does the proton travel before reaching its turning point?
The proton travels before reaching its turning point .
The surface charge density on the infinite charged plane :
Proton shot straight away at the speed :
Theory used :
The Electric field owing to an infinite plane is calculated as follows:
Newton's law :
Due to the action of the infinite plane's electric field, this proton will come to a halt before returning. We can compute the distance it goes before turning back using conservation of energy :
A sphere of radius R has charge Q. The electric field strength at distance is. What is the ratio of the final to initial electric field strengths if
(a) Q is halved,
(b) R is halved, and
(c) r is halved (but is still)? Each part changes only one quantity; the other quantities have their initial values
A plastic rod with linear charge density is bent into the quarter circle shown in FIGURE. We want to find the electric field at the origin.
a. Write expressions for the - and -components of the electric field at the origin due to a small piece of charge at angle .
b. Write, but do not evaluate, definite integrals for the - and -components of the net electric field at the origin.
c. Evaluate the integrals and write in component form
You’ve been assigned the task of determining the magnitude and direction of the electric field at a point in space. Give a step-by-step procedure of how you will do so. List any objects you will use, any measurements you will make, and any calculations you will need to perform. Make sure that your measurements do not disturb the charges that are creating the field.
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