General Physics, 2nd Edition
General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 30, Problem 28E

(a)

To determine

The magnitude of the electric force.

(a)

Expert Solution
Check Mark

Answer to Problem 28E

The magnitude of the electric force is 230.4N.

Explanation of Solution

Write the expression for the magnitude of the electric force.

    Fpp=14πε0q2r2        (I)

Here, Fpp is the magnitude of the force, ε0 is the permittivity of free space,  q is the charge of each proton and r is the separation distance between the protons.

Conclusion:

Substitute 1.6×1019C for q, 9×109Nm2C2 for 1/4πε0 and 1015m for r in equation (I).

    Fpp=(9×109Nm2C2)(1.6×1019C)2(1015m)2=230.4N

Thus, the magnitude of the electric force is 230.4N.

(b)

To determine

The electric field between a proton and an electron.

(b)

Expert Solution
Check Mark

Answer to Problem 28E

The electric field between a proton and an electron is 230.4×106N.

Explanation of Solution

Write the expression for the magnitude of the electric force.

    Fpe=14πε0q2r2        (II)

Here, Fpe is the magnitude of the force, ε0 is the permittivity of free space,  q is the charge of proton and electron and r is the separation distance between the proton and the electron.

Conclusion:

Substitute 1.6×1019C for q, 9×109Nm2C2 for 1/4πε0 and 1010m for r in expression (II).

  Fpe=(9×109Nm2C2)(1.6×1019C)2(1010m)2=230.4×106N

Thus, the electric field between a proton and an electron is 230.4×106N.

(c)

To determine

The ratio of the forces.

(c)

Expert Solution
Check Mark

Answer to Problem 28E

The ratio of the forces is 106.

Explanation of Solution

Write the expression for the ratio between the two forces.

    r=FppFpe        (III)

Here, Fpp is the magnitude of the field between two protons and Fpe is the magnitude of the field between a proton and an electron.

Conclusion:

Substitute 230.4N for Epp and 230.4×106N for Epe in equation (III).

    r=230.4N230.4×106N=106

Thus, the ratio of the forces is 106.

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