E = 1. V A - V B = E = 2. V A - V B = E = 3. V A - V B = E = 4. V A - V B = 0 5.

Question

E = 1. VA - VB= E = 2. VA - VB= E = 3. VA - VB= E = 4. VA - VB= 0 5. VA - VB= 6. VA - VB= 7. VA - VB= 8. VA - VB= Locations A and B are on the + x-axis. Ais at location , and B is at location . In the columns below, the left-hand column contains possible expressions for the electric field at locations along the +x axis, and the right-hand column contains possible expressionsfor the potential difference VA -VB. For each expression for electric fieldalong the x axis, choose the correct expression for the potentialdifference VA - VB.

Explanation / Answer

to get v, you integrate e with respect to x. so E=k/x^2 is V= -k/xso Va-Vb= -k(1/a+1/b) =k(1/a-1/b)        #5 E=kx so V =k k-k = 0                         #4 E=k/x^3 so V = (-k/2a^2)-(-k/2b^2) = -.5k[(1/a^2)+(1/b^2)] = .5k[(1/a^2)-(1/b^2)]                        #8 E=k/x so V= k ln (a) - k ln (b) = k [ln (a/b)]           [ln a - ln b] = ln (a/b) one of the logarithm rules not a choice so i'm assuming its #1

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