Question

Two friends are playing a version of proton golf where the hole is marked by a single proton. The first friend reads his meter, and declares he has a field strength of 24.0 N/C. The second friend looks at her meter and realizes she is three times as far away. What field strength does the second friend's meter read?

Answer 1

the electric field strength on the second one is 2.67 N/C.

Step-by-step explanation:

the electric fiel on the first one is:

E1 = k×q/(r^2)

r^2 = k×q/(E1)

= (9×10^9)×(q)/(24.0)

= 375000000q

then the electric field on the second one is:

E2 = k×q/(R^2)

we know that R = 3r

R^2 = 9×r^2

E2 = k×q/(9×r^2)

= k×q/(9×375000000q)

= k/(9×375000000)

= (9×10^9)/(9×375000000)

= 2.67 N/C

Therefore, the electric field strength on the second one is 2.67 N/C.