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. (For each statement select T True, F False).

A) The electric field at d is zero.
B) The electric field at b is zero.
C) The electric potential at b is zero.
D) The electric potential at d is zero.
E) The electric potential at a is zero.
F) The electric field at a is zero.
G) The electric potential at c is zero.
H) The electric field at c is zero.

Explanation / Answer

A)

False, the field from the positive charge cancels out, but there is still a fieldfrom the negative charges.

B)

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.

C)

True, the positive and negative charges nearest b cancel out as well as the pair furthers from it.

D)

False, the potential from the positive charges is greater than the potential from the negative charges since the positive charges are closer.

E)

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.

F)

True, the positive and negative charges nearest b cancel out as well as the pair furthers from it

G)

True, it lies on the eqipotential line.

H)

False, the diagonal lines from q to c to + q both point toward q, resulting in a net field.

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