Question

The charges $q_1 = 2.4 imes 10^{-5}$ C, $q_2 = -1.8 imes 10^{-4}$ C, and $q_3 = -2.8 imes 10^{-4}$ C, are placed at the corners of the triangle shown below with a = 1 m, b = 3 m. What is the absolute value of the potential energy of the point charge $q_1$? Use a value of $9.00 imes 10^9$ N.m$^2$/C$^2$ for Coulomb's constant, k. Write your answer in the units of joules to the nearest first decimal place, e.g. 6.3 Do not include units or any sign in your answer; just write the numerical value.

          The charges $q_1 = 2.4 	imes 10^{-5}$ C, $q_2 = -1.8 	imes 10^{-4}$ C, and $q_3 = -2.8 	imes 10^{-4}$ C, are placed at the corners of the triangle shown below with a = 1 m, b = 3 m.
What is the absolute value of the potential energy of the point charge $q_1$?
Use a value of $9.00 	imes 10^9$ N.m$^2$/C$^2$ for Coulomb's constant, k.
Write your answer in the units of joules to the nearest first decimal place, e.g. 6.3
Do not include units or any sign in your answer; just write the numerical value.

Show more…

The charges q1 = 2.4 imes 10^-5 C, q2 = -1.8 imes 10^-4 C, and q3 = -2.8 imes 10^-4 C, are placed at the corners of the triangle shown below with a = 1 m, b = 3 m.
What is the absolute value of the potential energy of the point charge q1?
Use a value of 9.00 imes 10^9 N.m^2/C^2 for Coulomb's constant, k.
Write your answer in the units of joules to the nearest first decimal place, e.g. 6.3
Do not include units or any sign in your answer; just write the numerical value.

Added by Victor W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supreeta N

09/16/2023

Step 1

The formula for potential energy (U) between two point charges is given by: U = k*q1*q2/r where k is Coulomb's constant (8.99 × 10^9 N*m^2/C^2), q1 and q2 are the charges, and r is the distance between them. Show more…

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Transcript

00:01 Hello, in the question we have given the charges q1, q2 and q3.

00:06 So the charges are given q1 is equals to 2 .4 into 10 raised to minus 5 coulombs.

00:17 Then q2 is 1 .8 minus 1 .8 into 10 raised to minus 4 coulombs.

00:26 Then q3 is given to be minus 2 .8 into 10 raised to minus 4 coulombs.

00:37 So these are the charges.

00:38 A is given to be 1 meters, b is given to be 3 meters.

00:45 So now let us first find out this because we need the distance between this q2 and q1.

00:50 So they are asking us to find out what is the absolute value of the potential energy of the point charge q1.

00:58 So let us calculate this c.

01:00 So from here we will just use the pythagoras theorem.

01:03 So c will be equal to square root of 1 square plus 3 square.

01:07 So c turns out to be square root of 10, which is nothing but 3 .16 meters.

01:17 So c is given that is 3 .16 meters.

01:21 Now, so we have c as well that is 3 .16 meters.

01:26 Now we have to find out the potential energy.

01:28 So we know that the potential energy is given by given by u is equal to q times v.

01:48 So now the potential energy will be then q1.

01:52 We are finding the potential on the charge.

01:55 Now the potential, sorry, potential energy at that place.

02:00 So v is the potential...

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