Home › HSC (New South Wales) › Physics › Static Electricity › A charge Q produces an electric field described …
A charge Q produces an electric field described by E = k|Q|/r^2. At a distance of 2 cm from the charge, how does the field strength compare with the field strength at 4 cm from the same charge?
AIt is four times stronger at 2 cm than at 4 cm
BIt is two times stronger at 2 cm than at 4 cm
CIt is the same strength at both distances
DIt is four times weaker at 2 cm than at 4 cm
Answer & Solution
Correct answer: A. It is four times stronger at 2 cm than at 4 cm
1. The field from a point charge falls off as 1/r^2.
2. Halving the distance from 4 cm to 2 cm multiplies the field by (4/2)^2 = 4.
3. So the field at 2 cm is four times stronger than the field at 4 cm.
4. Assuming the field only doubles, as in option B, mistakes an inverse-square relationship for a simple inverse relationship.
_Source: OpenStax Physics (CC BY 4.0), Ch 18 "Static Electricity", section 18.3 Electric Field_
Related questions
How can extra charge be taken away from an object safely?A person touches a charged dome and their hair stands on end. Why do the hairs push apart?What is it called when electrons move from a charged object onto a neutral one?A storm cloud sits 2 km above the ground, and the lower surface of the cloud spans about 2A parallel-plate capacitor has a plate area of 200 cm^2 and a plate separation of 10 microA parallel-plate capacitor has its plate area doubled and its plate separation reduced by If the plate area of a parallel-plate capacitor is doubled while the plate separation stayIf the distance between the plates of a capacitor is doubled while the plate area and ever