Question

# A dipole consisting of a protons and an electron held a distance d apart is aligned...

A dipole consisting of a protons and an electron held a distance d apart is aligned along a z axis. A second proton is then placed at the midpoint of the line joining the electron and proton of the dipole. What is the ratio of the electric field magnitude at (0, 0, 10d) to the electric field magnitude at (0, 0, 20d)?

suppose the proton is at (0,0,-d/2) and

electron is at (0,0,d/2)

and second proton is at (0,0,0)

electric field at (0,0,10d) is E = E1+E2+E3

E1 is the field due to first proton = ke*q/r^2 = (ke*q/(10.5d)^2) = 0.0091ke*q/d^2

E2 is the Field due to electron = -ke*q/(9.5d)^2 = -0.011*ke*q/d^2

E3 is the Field due to second proton = ke*q/(10d)^2 = 0.01*ke*q/d^2

then

E = E1+E2+E3 = (0.0091-0.011+0.01)*(ke*q/d^2) = 0.0081*(ke*q/d^2)

field at (0,0,20d) is E = E1+E2+E3

E = (ke*q/d^2)((1/20.5^2)-(1/19.5^2)+(1/20^2)) = 0.00224*ke*q/d^2

then required ratio is 0.0081/0.00224 = 3.62

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• What is the molarity of 150mL of a acid solution containing 4.9 g of H2SO4
• describe the main difference between the intrinsic and extrinsic pathways (initial cause). you so not need...
• Given the following Hypotheses: Null: An equal number of fruits is distributed per consumer box Alt:...
• Class: Ethics Suppose two terrorist groups make similar attacks against similar targets: both destroy office buildings...
• Software Quality Assurance and Testing: Many applications include a date-field widget where users can enter a...
• The goal of this experiment was to determine whether there is a difference between the happiness...