Log In Start studying!

Select your language

Suggested languages for you:
Deutsch (DE)
Deutsch (UK)
Deutsch (US)

Americas

Europe

Answers without the blur. Sign up and see all textbooks for free! → Illustration

Q3P

Expert-verified
Physics Principles with Applications
Found in: Page 443
Physics Principles with Applications

Physics Principles with Applications

Book edition 7th
Author(s) Douglas C. Giancoli
Pages 978 pages
ISBN 978-0321625922

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later
Illustration

Short Answer

(I) What is the magnitude of the force a \({\bf{ + 25}}\;{\bf{\mu C}}\) charge exerts on a \({\bf{ + 2}}{\bf{.5}}\;{\bf{mC}}\) charge 16 cm away?

The magnitude of the force exerted is \(2.2 \times {10^4}\;{\rm{N}}\).

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Understanding the electric force

A point charge exerts an electric force on another point charge in the vicinity. It could be attractive as well as repulsive depending upon the nature of the two charges.

The expression for the electric force is given as:

\(F = k\frac{{{Q_1}{Q_2}}}{{{r^2}}}\) … (i)

Here, k is the Coulomb’s constant, \({Q_1},\;{Q_2}\) are the charges and r is the separation between the charges.

Step 2: Given Data

The first charge is, \({Q_1} = + 25\;{\rm{\mu C}}\)

The second charge is \({Q_2} = 2.5\;{\rm{mC}}\)

The separation between the charges is, \(r = 16\;{\rm{cm}}\)

Step 3: Determination of magnitude of the force

The expression for the electric force is given as:

\(F = k\frac{{{Q_1}{Q_2}}}{{{r^2}}}\)

Substitute the values in the above expression.

\(\begin{aligned}{l}F = \left( {9.0 \times {{10}^9}\;{\rm{N}} \cdot {{\rm{m}}^2}{\rm{/}}{{\rm{C}}^2}} \right)\frac{{\left( {25 \times {{10}^{ - 6}}\;{\rm{C}}} \right)\left( {2.5 \times {{10}^{ - 3}}\;{\rm{C}}} \right)}}{{{{\left( {16\;{\rm{cm}} \times \frac{{{{10}^{ - 2}}\;{\rm{m}}}}{{1\;{\rm{cm}}}}} \right)}^2}}}\\F = 2.2 \times {10^4}\;{\rm{N}}\end{aligned}\)

Thus, the magnitude of the force exerted is \(2.2 \times {10^4}\;{\rm{N}}\).

Most popular questions for Physics Textbooks

(III) Two small nonconducting spheres have a total charge of \({\bf{90}}{\bf{.0}}\;{\bf{\mu C}}\). (a) When placed 28.0 cm apart, the force each exerts on the other is 12.0 N and is repulsive. What is the charge on each? (b) What if the force were attractive?

(II) Draw, approximately, the electric field lines about two point charges, +Q and –3Q, which are a distance l apart.

(I) What is the magnitude of the electric force of attraction between an iron nucleus (q = +26e) and its innermost electron if the distance between them is \({\bf{1}}{\bf{.5 \times 1}}{{\bf{0}}^{{\bf{ - 12}}}}\;{\bf{m}}\)?

(II) Two point charges, \({{\bf{Q}}_{\bf{1}}}{\bf{ = - 32}}\;{\bf{\mu C}}\) and \({{\bf{Q}}_{\bf{2}}}{\bf{ = + 45}}\;{\bf{\mu C}}\) are separated by a distance of 12 cm. The electric field at point P (see Fig. 16–57) is zero. How far from \({{\bf{Q}}_{\bf{1}}}\) is P?

Show, using the three rules for field lines given in Section 16–8, that the electric field lines starting or ending on a single point charge must be symmetrically spaced around the charge.
Icon

Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

Work Energy and Power

Read explanation

Radiation

Read explanation

Astrophysics

Read explanation

Fluids

Read explanation

Physics of Motion

Read explanation

Famous Physicists

Read explanation

Torque and Rotational Motion

Read explanation

Fields in Physics

Read explanation

Scientific Method Physics

Read explanation

Magnetism

Read explanation

Particle Model of Matter

Read explanation

Physical Quantities and Units

Read explanation

Medical Physics

Read explanation

Further Mechanics and Thermal Physics

Read explanation

Energy Physics

Read explanation

Force

Read explanation

Waves Physics

Read explanation

Modern Physics

Read explanation

Atoms and Radioactivity

Read explanation

Dynamics

Read explanation

Electricity and Magnetism

Read explanation

Fundamentals of Physics

Read explanation

Kinematics Physics

Read explanation

Linear Momentum

Read explanation

Geometrical and Physical Optics

Read explanation

Rotational Dynamics

Read explanation

Electrostatics

Read explanation

Space Physics

Read explanation

Magnetism and Electromagnetic Induction

Read explanation

Electromagnetism

Read explanation

Conservation of Energy and Momentum

Read explanation

Turning Points in Physics

Read explanation

Measurements

Read explanation

Engineering Physics

Read explanation

Mechanics and Materials

Read explanation

Electricity

Read explanation

Nuclear Physics

Read explanation

Circular Motion and Gravitation

Read explanation

Oscillations

Read explanation

Translational Dynamics

Read explanation

Thermodynamics

Read explanation

Electric Charge Field and Potential

Read explanation

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.