An experiment is to be carried out near a point charge Q . At a distance R from

Question

An experiment is to be carried out near a point charge Q. At a distance R from this charge, the electric field it produces has a magnitude E. For greater precision in the experiment, you need to move so that the electric field strength is one-tenth of E.

Part A

How far (in terms of R) should you be from Q?

r=

An experiment is to be carried out near a point charge Q. At a distance R from this charge, the electric field it produces has a magnitude E. For greater precision in the experiment, you need to move so that the electric field strength is one-tenth of E.

Part A

How far (in terms of R) should you be from Q?

r=

Explanation / Answer

Electric field due to a point a charge at a distnace is E = k*Q/R^2...

E*R^2 = constant..

E1*R1^2 = E2*R2^2...

R2= sqrt[(E1/E2)]*R1 = sqrt[E/(E/10)]*R1..= sqrt(10)*R1..
here R1 = R..and R2=r..

then r = 3.162 R

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