Charges equal in magnitude located on 2 of the 3 corners of a square in 8 differ
ID: 3162668 • Letter: C
Question
Charges equal in magnitude located on 2 of the 3 corners of a square in 8 different configurations are shown. We are going to place a test charge (+Q) at a 3^rd corner of the square labeled "P." Which of the following statements are true? The net force on the test charge in all of the pictures is nonzero the electric field magnitude at point P is smaller in picture D than G The two fixed charges in picture F are equally far from point P The electric force magnitude on the test charges in pictures A and E are equal In picture H, the net electric field at point P is zeroExplanation / Answer
The follwoing statements are true
a) The electric field magnitude at point P is smaller in picture D than G
In picture D the magnitude of the field at P is equal from either of the charge at the corners as both the charges are equal in amagnitude and the distance from the source is same
if E is the magnitude of the field at P due to either of the charges then the result magnitude is
E/sqrt(2) in picture D
In case of picture E one of the charges is farther and the magnitude is less than E and the resultant magnitude is less than E/sqrt(2)
b) The two fixed charges in picture F are equally far from point P,
they are at the corners of the sqare, the distance is equal to side of the square and hecne equal
c) The electric force magnitude on the test charges in pictures A and E are equal,
The magnitude of the charges is equal and the distance is equal to the side of the square and hence the magnitude of the force is equal. magnitude depends only on the magnitude of the charge and the distance between the charges.