Four identical charges each of charge are placed at the corners of a square. Then at the centre of the square the resultant electric intensity E and the net electric potential V are
Question
Four identical charges each of charge are placed at the corners of a square. Then at the centre of the square the resultant electric intensity E and the net electric potential V are
Solution
The electric field intensity at the center of the square due to each charge will be equal in magnitude but directed towards each charge. Since the charges are placed symmetrically, the directions of the electric field due to each charge are such that they cancel each other out. Therefore, the net electric field intensity E at the center of the square is zero.
The electric potential at a point due to a charge is a scalar quantity and it does not have any direction. The electric potential at the center of the square due to each charge will be the same since the distance from each charge to the center of the square is the same. Therefore, the net electric potential V at the center of the square is four times the electric potential due to one charge.
Let's denote each charge as q and the distance from each charge to the center of the square as a. The electric potential V due to one charge is given by the formula V = kq/a, where k is Coulomb's constant. Therefore, the net electric potential at the center of the square is V_net = 4k*q/a.
Similar Questions
Identical ions, each with charge +e, are situated on twon the opposingte corners of a square with side length L. What is the electric potential caused by these two ions at either of the empty corners of the square?
Four equal point charges Q =10 nC are place at the four corners of a square 2 m on a side. Find the electric potential at the centre of the square.*1 point25.53 V20.50 V35.23 V28.42 V
University of MédéaFaculty of Science1st Year MIDepartment of Mathematics and Computer ScienceQuestioning: ElectricityExercise 1:Four point charges are placed at the vertices ABCD of a square with side length ,and center O, the origin of an orthonormal coordinate system (Oxy) with unit vectors and .Given : , , , ,.1. Determine the electric field at the center of the square. Specify the direction,magnitude, and direction of .2. Express the potential created at by the four charges.3. Express the potential on the parts of the axes within the square.Exercise 2:Consider four closed surfaces , and , and three charges , , and . Determinethe electric flux passing through each surface ?D CBA
Consider a square with side a. We put the charges q, -q, 2q, -2q in the corners of this square. Check the relation E=-∇ϕ at the center of the square
our identical charges +50 μC each are placed, one at each corner of a square of side 2m. How much external energy is required to bring another charge of +50 μC from infinity to the centre of the square
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.