Find the force between two charges 2nC and 10nC placed at a distance of 5 cm from each other

Two charges are placed a certain distance apart such that the force that each charge experiences is 20 N. If the distance between the charges is doubled, what is the new force that each charge experiences?

Possible Answers:

There is no way to determine the new force

Correct answer:

Explanation:

To solve this problem, we'll need to utilize the equation for the electric force:

We're told that the force each charge experiences is 20 N at a certain distance, but then that distance is doubled. Thus, the new electric force will be:

What is the force experienced by a 

 point charge
 away from a 
 point charge?

Possible Answers:

The point charge experiences no force

Correct answer:

Explanation:

The equation to find the force from two point charges is called Coulomb's Law.

In this equation, 

 is force in Newtons, 
 is the respective charge value in 
,
 is radius in meters, and 
 is the Coulomb constant, which has a value of
.

Now, we just plug in the numbers. Note: the charge values are in microcoulombs (the Greek letter 

, called "mu," stands for micro), which is equal to
.

Therefore, the force experienced on either charge is 0.216N of force.

You have two point charges,

 and
, 3m away from each other. The value of
 is 
, and the force they both experience is 
. What is the value of
?

 

Possible Answers:

Correct answer:

Explanation:

The equation for the force between two point charges is as follows:

We have the values for

,
,
, and
, so we just need to rearrange the equation to solve for
, then plug in the values we have.

Therefore, the value for the second charge is 

.

Two objects in space are placed

 apart. One has a charge of 
, the second has a charge of 
. What is the electric force between them?

Possible Answers:

 away from each other

 towards each other

 towards each other

 away from each other

 towards each other

Correct answer:

 towards each other

Explanation:

Use Coloumb's law:

 

First, convert the charges into coulombs.

Plug in values into Coulomb's law.

Negative electric forces indicate attractive forces. Alternatively, we can reason that since one charge is positive, and the other is negative, the charges will attract.

If charge 

has a value of
, and charge 
has a value of
, and the distance between their centers, 
, is
what will be the magnitude of the force on charge
?

Possible Answers:

Correct answer:

Explanation:

Using coulombs law to solve

 Where:

 it the first charge, in coulombs.

 is the second charge, in coulombs.

 is the distance between them, in meters

 is the constant of

Converting 

 into 

Plugging values into coulombs law

 

The magnitude will be the absolute value.

If charge

 has a value of
, and charge
 has a value of
, and the distance between their centers, 
, has a value of
, what will be the force on charge
?

Possible Answers:

Correct answer:

Explanation:

Using coulombs law to solve

 Where:

 it the first charge, in coulombs.

 is the second charge, in coulombs.

 is the distance between them, in meters

 is the constant of 

Converting  into 

Plugging values into coulombs law

Magnitude will be the absolute value

 

Charge

has a charge of 

Charge 

has a charge of 

The distance between their centers,

is
.

What is the magnitude of the force on

due to
?

Possible Answers:

Correct answer:

Explanation:

Using the electric field equation:

Where

is 

 is charge 
, in

 is charge
, in

is the distance, in
.

Convert 

to
and plug in values:

Magnitude is equivalent to absolute value:

Charge

has a charge of 

Charge 

has a charge of 

The distance between their centers,

is
.

What is the magnitude of the force on

due to
?

Possible Answers:

Correct answer:

Explanation:

Use Coulomb's law:

Where is 

 is charge 
, in

 is charge
, in

is the distance, in .

Convert 

to and plug in values:

Magnitude is equivalent to absolute value:

Charge

has a charge of 

Charge 

has a charge of 

The distance between their centers,

is
.

Determine the magnitude of the electric force on

due to
.

Possible Answers:

Correct answer:

Explanation:

Use Coulomb's law:

Where is 

 is charge , in

 is charge , in

is the distance, in .

Convert  to and plug in values:

Magnitude is equivalent to absolute value:

Charge

has a charge of 

Charge 

has a charge of 

The distance between their centers,

is
.

What is the magnitude of the force on

due to
?

Possible Answers:

Correct answer:

Explanation:

Use Coulomb's law:

Where is 

 is charge , in Coulombs

 is charge , in Coulombs

is the distance, in meters.

Convert  to and plug in values:

Magnitude is equivalent to absolute value:

Maria
Certified Tutor

Universidad Interamericana Puerto Rico, Bachelor in Arts, Early Childhood Education.

Kevin
Certified Tutor

University of Washington-Seattle Campus, Bachelor in Arts, Music.

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