What is the potential at a point 6 × 10-15 m away from a proton? What will be the potential energy of a system, if another proton is brought to a distance 2 × 10-15 m from it?

Asked by Topperlearning User | 22nd Apr, 2015, 10:06: AM

Expert Answer:

Potential at a point 6 × 10-15 m away from a proton is given as,

Potential,begin mathsize 11px style straight v equals Kq over straight r end style

               begin mathsize 11px style equals fraction numerator 9 space cross times space 10 to the power of 9 space cross times space 1.6 space cross times space 10 to the power of negative 19 end exponent over denominator 6 space cross times space 10 to the power of negative 15 end exponent end fraction
space equals space 2.4 space cross times space 10 to the power of 5 space straight V end style

Potential at a distance 2 × 10-15 m from it is given as,

Potential energy,

begin mathsize 11px style straight U space equals space straight K fraction numerator straight q subscript 1 straight q subscript 2 over denominator straight r end fraction end style

   begin mathsize 11px style equals space fraction numerator 9 space cross times space 10 to the power of 9 space cross times space left parenthesis 1.6 space cross times space 10 to the power of negative 19 end exponent right parenthesis squared over denominator 2 space cross times space 10 to the power of negative 15 end exponent end fraction
equals space 1.152 space cross times space 10 to the power of negative 13 space end exponent straight J end style

Answered by  | 22nd Apr, 2015, 12:06: PM