+x There are two point charges in the above figure. a) What is the total x-compo

Question

+x There are two point charges in the above figure. a) What is the total x-component of the electric field at the point P due to both charges? (The answer is an integer number. Do not put decimal number) in units of b) What is the total y-component of the electric field at the point P due to both charges? (The answer is an integer number. Do not put decimal number) in units of c) What is the magnitude of the total electric field at the point P due to both charges? (Round the answer to two decimal places) in units of d) What is the angle between the total electric fleld and the ty axis? (The answer is an integer number. Do not put decimal number)

Explanation / Answer

Assuming P is origin.

Electric field is given by:

E = kq/r^2

direction of E will be towards -ve charge and away from +ve charge

Electric field due to q1 at origin will be away from charge means towards +ve x-axis

E1x = kq1/r^2

r = 5 m

E1x = 9*10^9*1*10^-6/5^2

E1x = 360 N/C (Part A.)

Electric field due to q2 at origin will be towards the charge means towards +ve y-axis

E2y = kq2/r^2

r = 5 m

E2y = 9*10^9*1*10^-6/5^2

E2y = 360 N/C (Part B)

Now total electric field will be

Enet = E1x + E2y

Enet = 360 i + 360 j

|Enet| = sqrt (360^2 + 360^2)

|Enet| = 509.12 N/C (Part C)

Now

Direction = arctan (E2y/E1x)

Direction = arctan (360/360) = arctan (1)

Direction = 45 deg above +ve x-axis

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