First slide

Electric field

Question

The point charges Q and -2Q are placed at some distance apart. If the electric field at the location of Q is E, the . electric field at the location of -2Q will be

Moderate

A

$- \frac{3 E}{2}$
B

$\frac{E}{2}$
C

-E
D

-2E

Solution

$Also, electric field at the location of Q E_{1} = \frac{1}{4 {πε}_{0}} \frac{(- 2 Q)}{r^{2}} it is due to - 2 Q and towards - 2 Q or away from Q Electric field at the location of 2 Q it is due to Q and away from Q E_{2} = \frac{1}{4 {πε}_{0}} \frac{Q}{r^{2}} E_{2} a n d E_{1} b o t h a r e i n t h e s a m e d i r e c t i o n . s o \frac{E_{1}}{E_{2}} = 2 E_{2} = \frac{E}{2}$

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