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Consider two separate systems, each with four charges of magnitude q arranged in

ID: 1527227 • Letter: C

Question

Consider two separate systems, each with four charges of magnitude q arranged in a square of length L as shown above. Points a and c arc in the center of their squares while points b and d are half way between the lower two charges. (For each statement select T True, F False). The electric potential at c is zero. The electric field at a is zero. The electric field at b is zero. The electric potential at a is zero. The electric field at d is zero. The electric potential at d is zero. The electric field at c is zero. The electric potential at b is zero.

Explanation / Answer

Formulas used

Field E = kQ1Q2/r2

Potential V = Er

A) False, since there is a net electric field the work done against the field in moving a unit charge from infinity to point C is not zero

B) True, the corners of the squares are filled with positive and negative charges alternatively. Hence, the net force acting at point a is zero and hence the field is zero too

C) False, a unit positive charge at point b will be pulled by +q and pushed away by +q at the lower end. So there is a non-zero electric field present.

D) True, since the field is zero the work done against it will also be zero.

E) True, a unit positive charge placed at d will be pushed away by the +q charges in the lower end. Hence the net electric field will be zero.

F) True, since the electric filed is zero, potential is zero too

G) False, any positive charge placed at c will be pulled up by –q charges and pushed away by +q charges, so there is a non-zero electric field present

H) False, since there isa non zero field is acting up, the potential cannot be zero

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