Answer
A. Zero
B. $\frac{1}{4πε_{0}}$$\frac{qQ}{r^{2}}$ Where F points towards the missing q and r is the distance from center to each numeral.
C. Zero
D. $\frac{1}{4πε_{0}}$$\frac{qQ}{r^{2}}$ towards the missing q
Work Step by Step
A. Forces directly opposite of each other cancel out, resulting in a net force of zero.
B. By superposition, this is equivalent to (a), with an extra q at 6 o’clock—since the force of all twelve is zero, the net force is that of q only.
C. Test charge Q is experiencing equal forces from all directions, resulting in a net force of zero.
D. Same explanation as B.
