Question

Two charged proteins P1 and P2 are located at positions (1m,1m) and (-1m,1m) respectively on a...

Two charged proteins P1 and P2 are located at positions (1m,1m) and (-1m,1m) respectively on a cartesian coordinate system. They have charges of 1.0 nC and -1.0nC respectively.

a) Compute the electric potential V at the origin

b) compute the electric field vector Etot at the origin

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Answer #1

Note: I am writing this answer assuming that it is written "protons" instead of "proteins".

1. Electric Potential (V) at the origin:

Step 1: Calculate the distance of each proton from the origin individually (r1 and r2)

Step 2: Calculate the potential V1 and V2 individually

  • V1 = (Kq1)/r1
  • V2= (Kq2)/r2

where,

  • V1 = Electric Potential due to P1
  • V2 = Electric Potential dueto P2
  • K = Electric constant (K = 8.99*109)
  • q1  = Charge ( q = 1.6*10-19 )
  • q2  = Charge ( q = 1.6*10-19 )
  • r1 = Distance of proton 1 from the origin (in meters)
  • r2= Distance of proton 2 from the origin (in meters)

Step 3: Add both V1 and V2 because electric potential is a scaler quantity.

  • V = V1 + V2

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