Question

The following scenarios will ask you to compare the electric field at point P for four differnet situations. Situation B: Situation C: Situation D: Situation A ⓞ@p 1/2R O P 2Q O P 2Q OP 1/2R How does the magnitude of the electric field at P compare for Situations A and B? EA EB EA-2Es EA-4EB EA EB How does the magnitude of the electric field at P compare for Situations A and C? EA-Ec How does the magnitude of the electric field at P compare for Situations A and D? EA ED EA-4ED EA-8ED EA JED Submit Answer Tries 0/5

Answer 1

$\fn_phv \\E_A=\frac{kQ}{R^2}\\\\ E_B=\frac{kQ}{((1/2)R)^2}=\frac{4kQ}{R^2}\\\\\\ E_C=\frac{k2Q}{R^2}=\frac{2kQ}{R^2}\\\\\\ E_D=\frac{k2Q}{((1/2)R)^2}=\frac{8kQ}{R^2}\\\\\\ 1)\\ E_A=\frac{kQ}{R^2}\\\\ E_B=\frac{4kQ}{R^2}\\\\ E_A=4E_B\\\\-------------------------\\\\ 2)\\ E_A=\frac{kQ}{R^2}\\\\ E_C=\frac{2kQ}{R^2}\\\\ E_A=2E_C\\\\-------------------------\\\\$

$\fn_phv \\3)\\ E_A=\frac{kQ}{R^2}\\\\ E_D=\frac{8kQ}{R^2}\\\\ E_A=8E_D\\\\-------------------------\\\\$