The electric field from two charges in the plane of the paper is represented by

Question

The electric field from two charges in the plane of the paper is represented by the dashed lines and arrows in the image

Select the best response for each statement below. (Use 'North' towards top of page, and 'East' to the right.)

a) The magnitude of the E-field at P is ... than at L.

A: North B: South C: East D: West E: Greater than F: Less than G: Equal to H: True I: False

b) The force on a (+) test charge at J is directed ... A: North B: South C: East D: West E: Greater than F: Less than G: Equal to H: True I: False

c) The force on a (+) test charge at K is zero. A: North B: South C: East D: West E: Greater than F: Less than G: Equal to H: True I: False

d) The force on a (-) test charge at S is directed ... A: North B: South C: East D: West E: Greater than F: Less than G: Equal to H: True I: False

e) The magnitude of the charge on the right is ... that on the left. A: North B: South C: East D: West E: Greater than F: Less than G: Equal to H: True I: False

f) The sign of the charge on the left is positive. A: North B: South C: East D: West E: Greater than F: Less than G: Equal to H: True I: False

The electric field from two charges in the plane of the paper is represented by the dashed lines and arrows in the image Select the best response for each statement below. (Use 'North' towards top of page, and 'East' to the right.) a) The magnitude of the E-field at P is ... than at L. A: North B: South C: East D: West E: Greater than F: Less than G: Equal to H: True I: False b) The force on a (+) test charge at J is directed ... A: North B: South C: East D: West E: Greater than F: Less than G: Equal to H: True I: False c) The force on a (+) test charge at K is zero. A: North B: South C: East D: West E: Greater than F: Less than G: Equal to H: True I: False d) The force on a (-) test charge at S is directed ... A: North B: South C: East D: West E: Greater than F: Less than G: Equal to H: True I: False e) The magnitude of the charge on the right is ... that on the left. A: North B: South C: East D: West E: Greater than F: Less than G: Equal to H: True I: False f) The sign of the charge on the left is positive. A: North B: South C: East D: West E: Greater than F: Less than G: Equal to H: True I: False

Explanation / Answer

1) Force at L is directed at W since there the field lineas are horizontal and directed at E (charge is negative)

2)Field at J is less than the one at Pp since there are less field lines (it's farther from both charges)

3)Following point 1), it will be directed at E

4)following points 1) and 3), it will be directed at E (field lines are directed at W)

5)Charge magnitude on the left is less than the one of the right, you cna derive it for example from the fact that that point where field lines are horizontal (IE vertical component of the single charges E field are the same in magnitude) is closer to leftt charge. This means that the distance form right charge is greater and so the charge is greater too according to Coulomb's law.

6)True, field linee are directed towards the charge.

7)False, the field is nonzero as it permeates teh whole space even if the drawing has no field line at K

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