Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 25, Problem 29SP

What happens to the electric potential at a point in space due to a point charge if that charge is doubled?

Expert Solution & Answer
Check Mark
To determine

The effect on the electric potential at a point in space due to a point charge if that charge is doubled.

Answer to Problem 29SP

Solution:

D oubled

Explanation of Solution

Introduction:

The absolute potential at a point is the work done against electric forces in carrying a unit positive test charge from infinity to that point.

Explanation:

Consider a point charge q in a vacuum and a point P at a distance r from that point charge. The expression of absolute potential V in vacuum at a point P due to the charge q is,

V=k0qr…… (1)

Here, r is the distance of the charge from the point and k0=8.99×109Nm2/C2

If the charge is doubled, substitute 2 q for q in expression (1), the expression for absolute potential V at a point P at a distance r from that charge will be,

V=k0(2q)r…… (2)

Dividing equation (2) by (1),

VV=k0(2q)rk0qr

Simplify:

VV=21V=2V

Conclusion:

The electric potential at a point is doubled as the charge gets doubled.

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Chapter 25 Solutions

Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)

Ch. 25 - 25.39 [II] An electron gun shoots electrons at a...Ch. 25 - 25.40 [I] The potential difference between two...Ch. 25 - 25.41 [II] An electron is shot with speed ...Ch. 25 - 25.42 [II] A potential difference of 24 kV...Ch. 25 - 25.43 [II] Compute the magnitude of the electric...Ch. 25 - 25.44 [II] A charge of 0.20 is 30 cm from a point...Ch. 25 - 25.45 [II] A point charge of +2.0 is placed at...Ch. 25 - 25.46 [II] In Problem 25.45, what is the...Ch. 25 - 25.47 [II] An electron is moving in the...Ch. 25 - 25.48 [II] An electron has a speed of as it...Ch. 25 - 25.49 [I] A capacitor with air between its plates...Ch. 25 - 25.50 [I] Determine the charge on each plate of a...Ch. 25 - 25.51 [I] A capacitor is charged with 9.6 nC and...Ch. 25 - 25.52 [I] Compute the energy stored in a 60-pF...Ch. 25 - 25.53 [II] Three capacitors, each of capacitance...Ch. 25 - 25.54 [I] Three capacitors (2.00, 5.00, and 7.00)...Ch. 25 - 25.55 [I] Three capacitors (2.00, 5.00, and 7.00)...Ch. 25 - 25.56 [I] The capacitor combination in Problem...Ch. 25 - 25.57 [II] Two capacitors (0.30 and 0.50 ) are...Ch. 25 - 25.58 [II] A 2.0- capacitor is charged to 50 V and...Ch. 25 - 25.59 [II] Repeat Problem 25.58 if the positive...Ch. 25 - 25.60 [II] (a) Calculate the capacitance of a...Ch. 25 - 25.61 [II] Referring to Fig. 25-2, if the...Ch. 25 - 25.62 [II] Referring to Fig. 25-2, if the...Ch. 25 - 25.63 [II] Referring to Fig. 25-2, if the...Ch. 25 - 25.64 [II] Referring to Fig. 25-10, what is the...Ch. 25 - 25.65 [II] Referring to Fig. 25-12, what is the...Ch. 25 - 25.66 [II] Referring to Fig. 25-13, what is the...
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