Question

Two charges, Q1= 3.70 pC, and Q2= 6.60 pC are located at points (0,-3.50 cm ) and (0,+3.50 cm), as shown in the figure What is the magnitude of the electric field at point P, located at (6.00 cm, 0), due to Q1 alone? 6.89×106 N/C You are correct. Previous Tries What is the x-component of the total electric field at P? 1.66x107 N/C You are correct. Previous Tries What is the y-component of the total electric field at P? 308.9 NIC Incorrect. Tries 3/20 Previous Tries Suomit Answer What is the magnitude of the total electric field at P? 1.68x107 N/C You are correct. Previous Tries Now let Q2-Q1 = 3.70 μC. Note that the problem now has a symmetry that you should exploit in your solution, what is the magnitude of the total electric field at P? 1576.2 N/C Can you say anything about the y-component of the total electric field before you start calculating? submit Anewer Incorrect. Tries 1/20 Previous Tries Given the symmetric situation of the previous problem, what is the magnitude of the force on an electron placed at point P? 2.52 10-16 N Recall what the electric force will be on a charge q in the presence of an electric field E Submit Answer Incorrect. Tries 1/20 Previous Tries

Answer 1

Given is:-

Now,

part-1

The distance between P and Q1 can be found out by using pythagorous theorem

thus

The electric field at P due to Q1 is

by plugging all the values we get

Part-2

The electric field due to charge Q2 is

which gives us

Now,

the x component of the net electric field will be

by plugging all the values we get

the value of cosine is  

0.06 cos 0,0695

by plugging this value in above expression we get

we get

Part-3

The y component of the net electric field will be

the value of the sin in the triangle is given by  

by plugging this values we get

or

Part-4

The magnitude of the total electric field will be

which gives us

Part-5

If

Then

which gives us

Part-6

The y components of the both E1 and E2 will cancel each other out because they are same in magnitude but opposite in the direction.

Part-7

The electric force will be

tot