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

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 are in the center of their squares while points b and d are half way between the lower two charges.
A) The electric field at b is zero.
B) The electric field at c is zero.
C) The electric field at a is zero.
D) The electric potential at a is zero.
E) The electric potential at d is zero.
F) The electric field at d is zero.
G) The electric potential at b is zero. H) The electric potential at c is zero. I said C,G and H are true but i got it wrong :(
A) The electric field at b is zero.
B) The electric field at c is zero.
C) The electric field at a is zero.
D) The electric potential at a is zero.
E) The electric potential at d is zero.
F) The electric field at d is zero.
G) The electric potential at b is zero. H) The electric potential at c is zero. I said C,G and H are true but i got it wrong :( 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 are in the center of their squares while points b and d are half way between the lower two charges. A) The electric field at b is zero. B) The electric field at c is zero. C) The electric field at a is zero. D) The electric potential at a is zero. E) The electric potential at d is zero. F) The electric field at d is zero. G) The electric potential at b is zero. H) The electric potential at c is zero. I said C,G and H are true but i got it wrong :(

Explanation / Answer

A) False, there is a flux toward the lower, -q. The upper two provide a lesser field that cancels out part of the field moving along the bottom from right to left. B) False, the diagonal lines from -q to c to +q both point toward -q, resulting in a net field. C) True D) True, a is equal distance from each point charge. As such, the potential sums to zero. E) False, the potential from the positive charges is greater than the potential from the negative charges since the positive charges are closer.
F) False, the field from the positive charge cancels out, but there is still a field from the negative charges. G) True, the positive and negative charges nearest b cancel out as well as the pair furthers from it. H) True, it lies on the quipotential line. 100 % correct answer.. because had this on exam long time ago.. and received an A. GOOD LUCK

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